Actual source code: plexfem.c
1: #include <petsc/private/dmpleximpl.h>
2: #include <petscsf.h>
4: #include <petscblaslapack.h>
5: #include <petsc/private/hashsetij.h>
6: #include <petsc/private/petscfeimpl.h>
7: #include <petsc/private/petscfvimpl.h>
9: PetscBool Clementcite = PETSC_FALSE;
10: const char ClementCitation[] = "@article{clement1975approximation,\n"
11: " title = {Approximation by finite element functions using local regularization},\n"
12: " author = {Philippe Cl{\\'e}ment},\n"
13: " journal = {Revue fran{\\c{c}}aise d'automatique, informatique, recherche op{\\'e}rationnelle. Analyse num{\\'e}rique},\n"
14: " volume = {9},\n"
15: " number = {R2},\n"
16: " pages = {77--84},\n"
17: " year = {1975}\n}\n";
19: static PetscErrorCode DMPlexConvertPlex(DM dm, DM *plex, PetscBool copy)
20: {
21: PetscBool isPlex;
23: PetscFunctionBegin;
24: PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMPLEX, &isPlex));
25: if (isPlex) {
26: *plex = dm;
27: PetscCall(PetscObjectReference((PetscObject)dm));
28: } else {
29: PetscCall(PetscObjectQuery((PetscObject)dm, "dm_plex", (PetscObject *)plex));
30: if (!*plex) {
31: PetscCall(DMConvert(dm, DMPLEX, plex));
32: PetscCall(PetscObjectCompose((PetscObject)dm, "dm_plex", (PetscObject)*plex));
33: } else {
34: PetscCall(PetscObjectReference((PetscObject)*plex));
35: }
36: if (copy) {
37: DMSubDomainHookLink link;
39: PetscCall(DMCopyDS(dm, *plex));
40: PetscCall(DMCopyAuxiliaryVec(dm, *plex));
41: /* Run the subdomain hook (this will copy the DMSNES/DMTS) */
42: for (link = dm->subdomainhook; link; link = link->next) {
43: if (link->ddhook) PetscCall((*link->ddhook)(dm, *plex, link->ctx));
44: }
45: }
46: }
47: PetscFunctionReturn(PETSC_SUCCESS);
48: }
50: static PetscErrorCode PetscContainerUserDestroy_PetscFEGeom(void *ctx)
51: {
52: PetscFEGeom *geom = (PetscFEGeom *)ctx;
54: PetscFunctionBegin;
55: PetscCall(PetscFEGeomDestroy(&geom));
56: PetscFunctionReturn(PETSC_SUCCESS);
57: }
59: static PetscErrorCode DMPlexGetFEGeom(DMField coordField, IS pointIS, PetscQuadrature quad, PetscBool faceData, PetscFEGeom **geom)
60: {
61: char composeStr[33] = {0};
62: PetscObjectId id;
63: PetscContainer container;
65: PetscFunctionBegin;
66: PetscCall(PetscObjectGetId((PetscObject)quad, &id));
67: PetscCall(PetscSNPrintf(composeStr, 32, "DMPlexGetFEGeom_%" PetscInt64_FMT "\n", id));
68: PetscCall(PetscObjectQuery((PetscObject)pointIS, composeStr, (PetscObject *)&container));
69: if (container) {
70: PetscCall(PetscContainerGetPointer(container, (void **)geom));
71: } else {
72: PetscCall(DMFieldCreateFEGeom(coordField, pointIS, quad, faceData, geom));
73: PetscCall(PetscContainerCreate(PETSC_COMM_SELF, &container));
74: PetscCall(PetscContainerSetPointer(container, (void *)*geom));
75: PetscCall(PetscContainerSetUserDestroy(container, PetscContainerUserDestroy_PetscFEGeom));
76: PetscCall(PetscObjectCompose((PetscObject)pointIS, composeStr, (PetscObject)container));
77: PetscCall(PetscContainerDestroy(&container));
78: }
79: PetscFunctionReturn(PETSC_SUCCESS);
80: }
82: static PetscErrorCode DMPlexRestoreFEGeom(DMField coordField, IS pointIS, PetscQuadrature quad, PetscBool faceData, PetscFEGeom **geom)
83: {
84: PetscFunctionBegin;
85: *geom = NULL;
86: PetscFunctionReturn(PETSC_SUCCESS);
87: }
89: /*@
90: DMPlexGetScale - Get the scale for the specified fundamental unit
92: Not Collective
94: Input Parameters:
95: + dm - the `DM`
96: - unit - The SI unit
98: Output Parameter:
99: . scale - The value used to scale all quantities with this unit
101: Level: advanced
103: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexSetScale()`, `PetscUnit`
104: @*/
105: PetscErrorCode DMPlexGetScale(DM dm, PetscUnit unit, PetscReal *scale)
106: {
107: DM_Plex *mesh = (DM_Plex *)dm->data;
109: PetscFunctionBegin;
111: PetscAssertPointer(scale, 3);
112: *scale = mesh->scale[unit];
113: PetscFunctionReturn(PETSC_SUCCESS);
114: }
116: /*@
117: DMPlexSetScale - Set the scale for the specified fundamental unit
119: Not Collective
121: Input Parameters:
122: + dm - the `DM`
123: . unit - The SI unit
124: - scale - The value used to scale all quantities with this unit
126: Level: advanced
128: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetScale()`, `PetscUnit`
129: @*/
130: PetscErrorCode DMPlexSetScale(DM dm, PetscUnit unit, PetscReal scale)
131: {
132: DM_Plex *mesh = (DM_Plex *)dm->data;
134: PetscFunctionBegin;
136: mesh->scale[unit] = scale;
137: PetscFunctionReturn(PETSC_SUCCESS);
138: }
140: PetscErrorCode DMPlexGetUseCeed_Plex(DM dm, PetscBool *useCeed)
141: {
142: DM_Plex *mesh = (DM_Plex *)dm->data;
144: PetscFunctionBegin;
145: *useCeed = mesh->useCeed;
146: PetscFunctionReturn(PETSC_SUCCESS);
147: }
148: PetscErrorCode DMPlexSetUseCeed_Plex(DM dm, PetscBool useCeed)
149: {
150: DM_Plex *mesh = (DM_Plex *)dm->data;
152: PetscFunctionBegin;
153: mesh->useCeed = useCeed;
154: PetscFunctionReturn(PETSC_SUCCESS);
155: }
157: /*@
158: DMPlexGetUseCeed - Get flag for using the LibCEED backend
160: Not collective
162: Input Parameter:
163: . dm - The `DM`
165: Output Parameter:
166: . useCeed - The flag
168: Level: intermediate
170: .seealso: `DMPlexSetUseCeed()`
171: @*/
172: PetscErrorCode DMPlexGetUseCeed(DM dm, PetscBool *useCeed)
173: {
174: PetscFunctionBegin;
176: PetscAssertPointer(useCeed, 2);
177: *useCeed = PETSC_FALSE;
178: PetscTryMethod(dm, "DMPlexGetUseCeed_C", (DM, PetscBool *), (dm, useCeed));
179: PetscFunctionReturn(PETSC_SUCCESS);
180: }
182: /*@
183: DMPlexSetUseCeed - Set flag for using the LibCEED backend
185: Not collective
187: Input Parameters:
188: + dm - The `DM`
189: - useCeed - The flag
191: Level: intermediate
193: .seealso: `DMPlexGetUseCeed()`
194: @*/
195: PetscErrorCode DMPlexSetUseCeed(DM dm, PetscBool useCeed)
196: {
197: PetscFunctionBegin;
200: PetscUseMethod(dm, "DMPlexSetUseCeed_C", (DM, PetscBool), (dm, useCeed));
201: PetscFunctionReturn(PETSC_SUCCESS);
202: }
204: /*@
205: DMPlexGetUseMatClosurePermutation - Get flag for using a closure permutation for matrix insertion
207: Not collective
209: Input Parameter:
210: . dm - The `DM`
212: Output Parameter:
213: . useClPerm - The flag
215: Level: intermediate
217: .seealso: `DMPlexSetUseMatClosurePermutation()`
218: @*/
219: PetscErrorCode DMPlexGetUseMatClosurePermutation(DM dm, PetscBool *useClPerm)
220: {
221: DM_Plex *mesh = (DM_Plex *)dm->data;
223: PetscFunctionBegin;
225: PetscAssertPointer(useClPerm, 2);
226: *useClPerm = mesh->useMatClPerm;
227: PetscFunctionReturn(PETSC_SUCCESS);
228: }
230: /*@
231: DMPlexSetUseMatClosurePermutation - Set flag for using a closure permutation for matrix insertion
233: Not collective
235: Input Parameters:
236: + dm - The `DM`
237: - useClPerm - The flag
239: Level: intermediate
241: .seealso: `DMPlexGetUseMatClosurePermutation()`
242: @*/
243: PetscErrorCode DMPlexSetUseMatClosurePermutation(DM dm, PetscBool useClPerm)
244: {
245: DM_Plex *mesh = (DM_Plex *)dm->data;
247: PetscFunctionBegin;
250: mesh->useMatClPerm = useClPerm;
251: PetscFunctionReturn(PETSC_SUCCESS);
252: }
254: static PetscErrorCode DMPlexProjectRigidBody_Private(PetscInt dim, PetscReal t, const PetscReal X[], PetscInt Nc, PetscScalar *mode, void *ctx)
255: {
256: const PetscInt eps[3][3][3] = {
257: {{0, 0, 0}, {0, 0, 1}, {0, -1, 0}},
258: {{0, 0, -1}, {0, 0, 0}, {1, 0, 0} },
259: {{0, 1, 0}, {-1, 0, 0}, {0, 0, 0} }
260: };
261: PetscInt *ctxInt = (PetscInt *)ctx;
262: PetscInt dim2 = ctxInt[0];
263: PetscInt d = ctxInt[1];
264: PetscInt i, j, k = dim > 2 ? d - dim : d;
266: PetscFunctionBegin;
267: PetscCheck(dim == dim2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Input dimension %" PetscInt_FMT " does not match context dimension %" PetscInt_FMT, dim, dim2);
268: for (i = 0; i < dim; i++) mode[i] = 0.;
269: if (d < dim) {
270: mode[d] = 1.; /* Translation along axis d */
271: } else {
272: for (i = 0; i < dim; i++) {
273: for (j = 0; j < dim; j++) { mode[j] += eps[i][j][k] * X[i]; /* Rotation about axis d */ }
274: }
275: }
276: PetscFunctionReturn(PETSC_SUCCESS);
277: }
279: /*@
280: DMPlexCreateRigidBody - For the default global section, create rigid body modes by function space interpolation
282: Collective
284: Input Parameters:
285: + dm - the `DM`
286: - field - The field number for the rigid body space, or 0 for the default
288: Output Parameter:
289: . sp - the null space
291: Level: advanced
293: Note:
294: This is necessary to provide a suitable coarse space for algebraic multigrid
296: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `MatNullSpaceCreate()`, `PCGAMG`
297: @*/
298: PetscErrorCode DMPlexCreateRigidBody(DM dm, PetscInt field, MatNullSpace *sp)
299: {
300: PetscErrorCode (**func)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *);
301: MPI_Comm comm;
302: Vec mode[6];
303: PetscSection section, globalSection;
304: PetscInt dim, dimEmbed, Nf, n, m, mmin, d, i, j;
305: void **ctxs;
307: PetscFunctionBegin;
308: PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
309: PetscCall(DMGetDimension(dm, &dim));
310: PetscCall(DMGetCoordinateDim(dm, &dimEmbed));
311: PetscCall(DMGetNumFields(dm, &Nf));
312: PetscCheck(!Nf || !(field < 0 || field >= Nf), comm, PETSC_ERR_ARG_OUTOFRANGE, "Field %" PetscInt_FMT " is not in [0, %" PetscInt_FMT ")", field, Nf);
313: if (dim == 1 && Nf < 2) {
314: PetscCall(MatNullSpaceCreate(comm, PETSC_TRUE, 0, NULL, sp));
315: PetscFunctionReturn(PETSC_SUCCESS);
316: }
317: PetscCall(DMGetLocalSection(dm, §ion));
318: PetscCall(DMGetGlobalSection(dm, &globalSection));
319: PetscCall(PetscSectionGetConstrainedStorageSize(globalSection, &n));
320: PetscCall(PetscCalloc2(Nf, &func, Nf, &ctxs));
321: m = (dim * (dim + 1)) / 2;
322: PetscCall(VecCreate(comm, &mode[0]));
323: PetscCall(VecSetType(mode[0], dm->vectype));
324: PetscCall(VecSetSizes(mode[0], n, PETSC_DETERMINE));
325: PetscCall(VecSetUp(mode[0]));
326: PetscCall(VecGetSize(mode[0], &n));
327: mmin = PetscMin(m, n);
328: func[field] = DMPlexProjectRigidBody_Private;
329: for (i = 1; i < m; ++i) PetscCall(VecDuplicate(mode[0], &mode[i]));
330: for (d = 0; d < m; d++) {
331: PetscInt ctx[2];
333: ctxs[field] = (void *)(&ctx[0]);
334: ctx[0] = dimEmbed;
335: ctx[1] = d;
336: PetscCall(DMProjectFunction(dm, 0.0, func, ctxs, INSERT_VALUES, mode[d]));
337: }
338: /* Orthonormalize system */
339: for (i = 0; i < mmin; ++i) {
340: PetscScalar dots[6];
342: PetscCall(VecNormalize(mode[i], NULL));
343: PetscCall(VecMDot(mode[i], mmin - i - 1, mode + i + 1, dots + i + 1));
344: for (j = i + 1; j < mmin; ++j) {
345: dots[j] *= -1.0;
346: PetscCall(VecAXPY(mode[j], dots[j], mode[i]));
347: }
348: }
349: PetscCall(MatNullSpaceCreate(comm, PETSC_FALSE, mmin, mode, sp));
350: for (i = 0; i < m; ++i) PetscCall(VecDestroy(&mode[i]));
351: PetscCall(PetscFree2(func, ctxs));
352: PetscFunctionReturn(PETSC_SUCCESS);
353: }
355: /*@
356: DMPlexCreateRigidBodies - For the default global section, create rigid body modes by function space interpolation
358: Collective
360: Input Parameters:
361: + dm - the `DM`
362: . nb - The number of bodies
363: . label - The `DMLabel` marking each domain
364: . nids - The number of ids per body
365: - ids - An array of the label ids in sequence for each domain
367: Output Parameter:
368: . sp - the null space
370: Level: advanced
372: Note:
373: This is necessary to provide a suitable coarse space for algebraic multigrid
375: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `MatNullSpaceCreate()`
376: @*/
377: PetscErrorCode DMPlexCreateRigidBodies(DM dm, PetscInt nb, DMLabel label, const PetscInt nids[], const PetscInt ids[], MatNullSpace *sp)
378: {
379: MPI_Comm comm;
380: PetscSection section, globalSection;
381: Vec *mode;
382: PetscScalar *dots;
383: PetscInt dim, dimEmbed, n, m, b, d, i, j, off;
385: PetscFunctionBegin;
386: PetscCall(PetscObjectGetComm((PetscObject)dm, &comm));
387: PetscCall(DMGetDimension(dm, &dim));
388: PetscCall(DMGetCoordinateDim(dm, &dimEmbed));
389: PetscCall(DMGetLocalSection(dm, §ion));
390: PetscCall(DMGetGlobalSection(dm, &globalSection));
391: PetscCall(PetscSectionGetConstrainedStorageSize(globalSection, &n));
392: m = nb * (dim * (dim + 1)) / 2;
393: PetscCall(PetscMalloc2(m, &mode, m, &dots));
394: PetscCall(VecCreate(comm, &mode[0]));
395: PetscCall(VecSetSizes(mode[0], n, PETSC_DETERMINE));
396: PetscCall(VecSetUp(mode[0]));
397: for (i = 1; i < m; ++i) PetscCall(VecDuplicate(mode[0], &mode[i]));
398: for (b = 0, off = 0; b < nb; ++b) {
399: for (d = 0; d < m / nb; ++d) {
400: PetscInt ctx[2];
401: PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *) = DMPlexProjectRigidBody_Private;
402: void *voidctx = (void *)(&ctx[0]);
404: ctx[0] = dimEmbed;
405: ctx[1] = d;
406: PetscCall(DMProjectFunctionLabel(dm, 0.0, label, nids[b], &ids[off], 0, NULL, &func, &voidctx, INSERT_VALUES, mode[d]));
407: off += nids[b];
408: }
409: }
410: /* Orthonormalize system */
411: for (i = 0; i < m; ++i) {
412: PetscScalar dots[6];
414: PetscCall(VecNormalize(mode[i], NULL));
415: PetscCall(VecMDot(mode[i], m - i - 1, mode + i + 1, dots + i + 1));
416: for (j = i + 1; j < m; ++j) {
417: dots[j] *= -1.0;
418: PetscCall(VecAXPY(mode[j], dots[j], mode[i]));
419: }
420: }
421: PetscCall(MatNullSpaceCreate(comm, PETSC_FALSE, m, mode, sp));
422: for (i = 0; i < m; ++i) PetscCall(VecDestroy(&mode[i]));
423: PetscCall(PetscFree2(mode, dots));
424: PetscFunctionReturn(PETSC_SUCCESS);
425: }
427: /*@
428: DMPlexSetMaxProjectionHeight - In DMPlexProjectXXXLocal() functions, the projected values of a basis function's dofs
429: are computed by associating the basis function with one of the mesh points in its transitively-closed support, and
430: evaluating the dual space basis of that point.
432: Input Parameters:
433: + dm - the `DMPLEX` object
434: - height - the maximum projection height >= 0
436: Level: advanced
438: Notes:
439: A basis function is associated with the point in its transitively-closed support whose mesh
440: height is highest (w.r.t. DAG height), but not greater than the maximum projection height,
441: which is set with this function. By default, the maximum projection height is zero, which
442: means that only mesh cells are used to project basis functions. A height of one, for
443: example, evaluates a cell-interior basis functions using its cells dual space basis, but all
444: other basis functions with the dual space basis of a face.
446: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetMaxProjectionHeight()`, `DMProjectFunctionLocal()`, `DMProjectFunctionLabelLocal()`
447: @*/
448: PetscErrorCode DMPlexSetMaxProjectionHeight(DM dm, PetscInt height)
449: {
450: DM_Plex *plex = (DM_Plex *)dm->data;
452: PetscFunctionBegin;
454: plex->maxProjectionHeight = height;
455: PetscFunctionReturn(PETSC_SUCCESS);
456: }
458: /*@
459: DMPlexGetMaxProjectionHeight - Get the maximum height (w.r.t. DAG) of mesh points used to evaluate dual bases in
460: DMPlexProjectXXXLocal() functions.
462: Input Parameter:
463: . dm - the `DMPLEX` object
465: Output Parameter:
466: . height - the maximum projection height
468: Level: intermediate
470: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexSetMaxProjectionHeight()`, `DMProjectFunctionLocal()`, `DMProjectFunctionLabelLocal()`
471: @*/
472: PetscErrorCode DMPlexGetMaxProjectionHeight(DM dm, PetscInt *height)
473: {
474: DM_Plex *plex = (DM_Plex *)dm->data;
476: PetscFunctionBegin;
478: *height = plex->maxProjectionHeight;
479: PetscFunctionReturn(PETSC_SUCCESS);
480: }
482: typedef struct {
483: PetscReal alpha; /* The first Euler angle, and in 2D the only one */
484: PetscReal beta; /* The second Euler angle */
485: PetscReal gamma; /* The third Euler angle */
486: PetscInt dim; /* The dimension of R */
487: PetscScalar *R; /* The rotation matrix, transforming a vector in the local basis to the global basis */
488: PetscScalar *RT; /* The transposed rotation matrix, transforming a vector in the global basis to the local basis */
489: } RotCtx;
491: /*
492: Note: Following https://en.wikipedia.org/wiki/Euler_angles, we will specify Euler angles by extrinsic rotations, meaning that
493: we rotate with respect to a fixed initial coordinate system, the local basis (x-y-z). The global basis (X-Y-Z) is reached as follows:
494: $ The XYZ system rotates about the z axis by alpha. The X axis is now at angle alpha with respect to the x axis.
495: $ The XYZ system rotates again about the x axis by beta. The Z axis is now at angle beta with respect to the z axis.
496: $ The XYZ system rotates a third time about the z axis by gamma.
497: */
498: static PetscErrorCode DMPlexBasisTransformSetUp_Rotation_Internal(DM dm, void *ctx)
499: {
500: RotCtx *rc = (RotCtx *)ctx;
501: PetscInt dim = rc->dim;
502: PetscReal c1, s1, c2, s2, c3, s3;
504: PetscFunctionBegin;
505: PetscCall(PetscMalloc2(PetscSqr(dim), &rc->R, PetscSqr(dim), &rc->RT));
506: switch (dim) {
507: case 2:
508: c1 = PetscCosReal(rc->alpha);
509: s1 = PetscSinReal(rc->alpha);
510: rc->R[0] = c1;
511: rc->R[1] = s1;
512: rc->R[2] = -s1;
513: rc->R[3] = c1;
514: PetscCall(PetscArraycpy(rc->RT, rc->R, PetscSqr(dim)));
515: DMPlex_Transpose2D_Internal(rc->RT);
516: break;
517: case 3:
518: c1 = PetscCosReal(rc->alpha);
519: s1 = PetscSinReal(rc->alpha);
520: c2 = PetscCosReal(rc->beta);
521: s2 = PetscSinReal(rc->beta);
522: c3 = PetscCosReal(rc->gamma);
523: s3 = PetscSinReal(rc->gamma);
524: rc->R[0] = c1 * c3 - c2 * s1 * s3;
525: rc->R[1] = c3 * s1 + c1 * c2 * s3;
526: rc->R[2] = s2 * s3;
527: rc->R[3] = -c1 * s3 - c2 * c3 * s1;
528: rc->R[4] = c1 * c2 * c3 - s1 * s3;
529: rc->R[5] = c3 * s2;
530: rc->R[6] = s1 * s2;
531: rc->R[7] = -c1 * s2;
532: rc->R[8] = c2;
533: PetscCall(PetscArraycpy(rc->RT, rc->R, PetscSqr(dim)));
534: DMPlex_Transpose3D_Internal(rc->RT);
535: break;
536: default:
537: SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "Dimension %" PetscInt_FMT " not supported", dim);
538: }
539: PetscFunctionReturn(PETSC_SUCCESS);
540: }
542: static PetscErrorCode DMPlexBasisTransformDestroy_Rotation_Internal(DM dm, void *ctx)
543: {
544: RotCtx *rc = (RotCtx *)ctx;
546: PetscFunctionBegin;
547: PetscCall(PetscFree2(rc->R, rc->RT));
548: PetscCall(PetscFree(rc));
549: PetscFunctionReturn(PETSC_SUCCESS);
550: }
552: static PetscErrorCode DMPlexBasisTransformGetMatrix_Rotation_Internal(DM dm, const PetscReal x[], PetscBool l2g, const PetscScalar **A, void *ctx)
553: {
554: RotCtx *rc = (RotCtx *)ctx;
556: PetscFunctionBeginHot;
557: PetscAssertPointer(ctx, 5);
558: if (l2g) {
559: *A = rc->R;
560: } else {
561: *A = rc->RT;
562: }
563: PetscFunctionReturn(PETSC_SUCCESS);
564: }
566: PetscErrorCode DMPlexBasisTransformApplyReal_Internal(DM dm, const PetscReal x[], PetscBool l2g, PetscInt dim, const PetscReal *y, PetscReal *z, void *ctx)
567: {
568: PetscFunctionBegin;
569: #if defined(PETSC_USE_COMPLEX)
570: switch (dim) {
571: case 2: {
572: PetscScalar yt[2] = {y[0], y[1]}, zt[2] = {0.0, 0.0};
574: PetscCall(DMPlexBasisTransformApply_Internal(dm, x, l2g, dim, yt, zt, ctx));
575: z[0] = PetscRealPart(zt[0]);
576: z[1] = PetscRealPart(zt[1]);
577: } break;
578: case 3: {
579: PetscScalar yt[3] = {y[0], y[1], y[2]}, zt[3] = {0.0, 0.0, 0.0};
581: PetscCall(DMPlexBasisTransformApply_Internal(dm, x, l2g, dim, yt, zt, ctx));
582: z[0] = PetscRealPart(zt[0]);
583: z[1] = PetscRealPart(zt[1]);
584: z[2] = PetscRealPart(zt[2]);
585: } break;
586: }
587: #else
588: PetscCall(DMPlexBasisTransformApply_Internal(dm, x, l2g, dim, y, z, ctx));
589: #endif
590: PetscFunctionReturn(PETSC_SUCCESS);
591: }
593: PetscErrorCode DMPlexBasisTransformApply_Internal(DM dm, const PetscReal x[], PetscBool l2g, PetscInt dim, const PetscScalar *y, PetscScalar *z, void *ctx)
594: {
595: const PetscScalar *A;
597: PetscFunctionBeginHot;
598: PetscCall((*dm->transformGetMatrix)(dm, x, l2g, &A, ctx));
599: switch (dim) {
600: case 2:
601: DMPlex_Mult2D_Internal(A, 1, y, z);
602: break;
603: case 3:
604: DMPlex_Mult3D_Internal(A, 1, y, z);
605: break;
606: }
607: PetscFunctionReturn(PETSC_SUCCESS);
608: }
610: static PetscErrorCode DMPlexBasisTransformField_Internal(DM dm, DM tdm, Vec tv, PetscInt p, PetscInt f, PetscBool l2g, PetscScalar *a)
611: {
612: PetscSection ts;
613: const PetscScalar *ta, *tva;
614: PetscInt dof;
616: PetscFunctionBeginHot;
617: PetscCall(DMGetLocalSection(tdm, &ts));
618: PetscCall(PetscSectionGetFieldDof(ts, p, f, &dof));
619: PetscCall(VecGetArrayRead(tv, &ta));
620: PetscCall(DMPlexPointLocalFieldRead(tdm, p, f, ta, &tva));
621: if (l2g) {
622: switch (dof) {
623: case 4:
624: DMPlex_Mult2D_Internal(tva, 1, a, a);
625: break;
626: case 9:
627: DMPlex_Mult3D_Internal(tva, 1, a, a);
628: break;
629: }
630: } else {
631: switch (dof) {
632: case 4:
633: DMPlex_MultTranspose2D_Internal(tva, 1, a, a);
634: break;
635: case 9:
636: DMPlex_MultTranspose3D_Internal(tva, 1, a, a);
637: break;
638: }
639: }
640: PetscCall(VecRestoreArrayRead(tv, &ta));
641: PetscFunctionReturn(PETSC_SUCCESS);
642: }
644: static PetscErrorCode DMPlexBasisTransformFieldTensor_Internal(DM dm, DM tdm, Vec tv, PetscInt pf, PetscInt f, PetscInt pg, PetscInt g, PetscBool l2g, PetscInt lda, PetscScalar *a)
645: {
646: PetscSection s, ts;
647: const PetscScalar *ta, *tvaf, *tvag;
648: PetscInt fdof, gdof, fpdof, gpdof;
650: PetscFunctionBeginHot;
651: PetscCall(DMGetLocalSection(dm, &s));
652: PetscCall(DMGetLocalSection(tdm, &ts));
653: PetscCall(PetscSectionGetFieldDof(s, pf, f, &fpdof));
654: PetscCall(PetscSectionGetFieldDof(s, pg, g, &gpdof));
655: PetscCall(PetscSectionGetFieldDof(ts, pf, f, &fdof));
656: PetscCall(PetscSectionGetFieldDof(ts, pg, g, &gdof));
657: PetscCall(VecGetArrayRead(tv, &ta));
658: PetscCall(DMPlexPointLocalFieldRead(tdm, pf, f, ta, &tvaf));
659: PetscCall(DMPlexPointLocalFieldRead(tdm, pg, g, ta, &tvag));
660: if (l2g) {
661: switch (fdof) {
662: case 4:
663: DMPlex_MatMult2D_Internal(tvaf, gpdof, lda, a, a);
664: break;
665: case 9:
666: DMPlex_MatMult3D_Internal(tvaf, gpdof, lda, a, a);
667: break;
668: }
669: switch (gdof) {
670: case 4:
671: DMPlex_MatMultTransposeLeft2D_Internal(tvag, fpdof, lda, a, a);
672: break;
673: case 9:
674: DMPlex_MatMultTransposeLeft3D_Internal(tvag, fpdof, lda, a, a);
675: break;
676: }
677: } else {
678: switch (fdof) {
679: case 4:
680: DMPlex_MatMultTranspose2D_Internal(tvaf, gpdof, lda, a, a);
681: break;
682: case 9:
683: DMPlex_MatMultTranspose3D_Internal(tvaf, gpdof, lda, a, a);
684: break;
685: }
686: switch (gdof) {
687: case 4:
688: DMPlex_MatMultLeft2D_Internal(tvag, fpdof, lda, a, a);
689: break;
690: case 9:
691: DMPlex_MatMultLeft3D_Internal(tvag, fpdof, lda, a, a);
692: break;
693: }
694: }
695: PetscCall(VecRestoreArrayRead(tv, &ta));
696: PetscFunctionReturn(PETSC_SUCCESS);
697: }
699: PetscErrorCode DMPlexBasisTransformPoint_Internal(DM dm, DM tdm, Vec tv, PetscInt p, PetscBool fieldActive[], PetscBool l2g, PetscScalar *a)
700: {
701: PetscSection s;
702: PetscSection clSection;
703: IS clPoints;
704: const PetscInt *clp;
705: PetscInt *points = NULL;
706: PetscInt Nf, f, Np, cp, dof, d = 0;
708: PetscFunctionBegin;
709: PetscCall(DMGetLocalSection(dm, &s));
710: PetscCall(PetscSectionGetNumFields(s, &Nf));
711: PetscCall(DMPlexGetCompressedClosure(dm, s, p, 0, &Np, &points, &clSection, &clPoints, &clp));
712: for (f = 0; f < Nf; ++f) {
713: for (cp = 0; cp < Np * 2; cp += 2) {
714: PetscCall(PetscSectionGetFieldDof(s, points[cp], f, &dof));
715: if (!dof) continue;
716: if (fieldActive[f]) PetscCall(DMPlexBasisTransformField_Internal(dm, tdm, tv, points[cp], f, l2g, &a[d]));
717: d += dof;
718: }
719: }
720: PetscCall(DMPlexRestoreCompressedClosure(dm, s, p, &Np, &points, &clSection, &clPoints, &clp));
721: PetscFunctionReturn(PETSC_SUCCESS);
722: }
724: PetscErrorCode DMPlexBasisTransformPointTensor_Internal(DM dm, DM tdm, Vec tv, PetscInt p, PetscBool l2g, PetscInt lda, PetscScalar *a)
725: {
726: PetscSection s;
727: PetscSection clSection;
728: IS clPoints;
729: const PetscInt *clp;
730: PetscInt *points = NULL;
731: PetscInt Nf, f, g, Np, cpf, cpg, fdof, gdof, r, c = 0;
733: PetscFunctionBegin;
734: PetscCall(DMGetLocalSection(dm, &s));
735: PetscCall(PetscSectionGetNumFields(s, &Nf));
736: PetscCall(DMPlexGetCompressedClosure(dm, s, p, 0, &Np, &points, &clSection, &clPoints, &clp));
737: for (f = 0, r = 0; f < Nf; ++f) {
738: for (cpf = 0; cpf < Np * 2; cpf += 2) {
739: PetscCall(PetscSectionGetFieldDof(s, points[cpf], f, &fdof));
740: for (g = 0, c = 0; g < Nf; ++g) {
741: for (cpg = 0; cpg < Np * 2; cpg += 2) {
742: PetscCall(PetscSectionGetFieldDof(s, points[cpg], g, &gdof));
743: PetscCall(DMPlexBasisTransformFieldTensor_Internal(dm, tdm, tv, points[cpf], f, points[cpg], g, l2g, lda, &a[r * lda + c]));
744: c += gdof;
745: }
746: }
747: PetscCheck(c == lda, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of columns %" PetscInt_FMT " should be %" PetscInt_FMT, c, lda);
748: r += fdof;
749: }
750: }
751: PetscCheck(r == lda, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of rows %" PetscInt_FMT " should be %" PetscInt_FMT, c, lda);
752: PetscCall(DMPlexRestoreCompressedClosure(dm, s, p, &Np, &points, &clSection, &clPoints, &clp));
753: PetscFunctionReturn(PETSC_SUCCESS);
754: }
756: static PetscErrorCode DMPlexBasisTransform_Internal(DM dm, Vec lv, PetscBool l2g)
757: {
758: DM tdm;
759: Vec tv;
760: PetscSection ts, s;
761: const PetscScalar *ta;
762: PetscScalar *a, *va;
763: PetscInt pStart, pEnd, p, Nf, f;
765: PetscFunctionBegin;
766: PetscCall(DMGetBasisTransformDM_Internal(dm, &tdm));
767: PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
768: PetscCall(DMGetLocalSection(tdm, &ts));
769: PetscCall(DMGetLocalSection(dm, &s));
770: PetscCall(PetscSectionGetChart(s, &pStart, &pEnd));
771: PetscCall(PetscSectionGetNumFields(s, &Nf));
772: PetscCall(VecGetArray(lv, &a));
773: PetscCall(VecGetArrayRead(tv, &ta));
774: for (p = pStart; p < pEnd; ++p) {
775: for (f = 0; f < Nf; ++f) {
776: PetscCall(DMPlexPointLocalFieldRef(dm, p, f, a, &va));
777: PetscCall(DMPlexBasisTransformField_Internal(dm, tdm, tv, p, f, l2g, va));
778: }
779: }
780: PetscCall(VecRestoreArray(lv, &a));
781: PetscCall(VecRestoreArrayRead(tv, &ta));
782: PetscFunctionReturn(PETSC_SUCCESS);
783: }
785: /*@
786: DMPlexGlobalToLocalBasis - Transform the values in the given local vector from the global basis to the local basis
788: Input Parameters:
789: + dm - The `DM`
790: - lv - A local vector with values in the global basis
792: Output Parameter:
793: . lv - A local vector with values in the local basis
795: Level: developer
797: Note:
798: This method is only intended to be called inside `DMGlobalToLocal()`. It is unlikely that a user will have a local vector full of coefficients for the global basis unless they are reimplementing GlobalToLocal.
800: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexLocalToGlobalBasis()`, `DMGetLocalSection()`, `DMPlexCreateBasisRotation()`
801: @*/
802: PetscErrorCode DMPlexGlobalToLocalBasis(DM dm, Vec lv)
803: {
804: PetscFunctionBegin;
807: PetscCall(DMPlexBasisTransform_Internal(dm, lv, PETSC_FALSE));
808: PetscFunctionReturn(PETSC_SUCCESS);
809: }
811: /*@
812: DMPlexLocalToGlobalBasis - Transform the values in the given local vector from the local basis to the global basis
814: Input Parameters:
815: + dm - The `DM`
816: - lv - A local vector with values in the local basis
818: Output Parameter:
819: . lv - A local vector with values in the global basis
821: Level: developer
823: Note:
824: This method is only intended to be called inside `DMGlobalToLocal()`. It is unlikely that a user would want a local vector full of coefficients for the global basis unless they are reimplementing GlobalToLocal.
826: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGlobalToLocalBasis()`, `DMGetLocalSection()`, `DMPlexCreateBasisRotation()`
827: @*/
828: PetscErrorCode DMPlexLocalToGlobalBasis(DM dm, Vec lv)
829: {
830: PetscFunctionBegin;
833: PetscCall(DMPlexBasisTransform_Internal(dm, lv, PETSC_TRUE));
834: PetscFunctionReturn(PETSC_SUCCESS);
835: }
837: /*@
838: DMPlexCreateBasisRotation - Create an internal transformation from the global basis, used to specify boundary conditions
839: and global solutions, to a local basis, appropriate for discretization integrals and assembly.
841: Input Parameters:
842: + dm - The `DM`
843: . alpha - The first Euler angle, and in 2D the only one
844: . beta - The second Euler angle
845: - gamma - The third Euler angle
847: Level: developer
849: Note:
850: Following https://en.wikipedia.org/wiki/Euler_angles, we will specify Euler angles by extrinsic rotations, meaning that
851: we rotate with respect to a fixed initial coordinate system, the local basis (x-y-z). The global basis (X-Y-Z) is reached as follows
852: .vb
853: The XYZ system rotates about the z axis by alpha. The X axis is now at angle alpha with respect to the x axis.
854: The XYZ system rotates again about the x axis by beta. The Z axis is now at angle beta with respect to the z axis.
855: The XYZ system rotates a third time about the z axis by gamma.
856: .ve
858: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGlobalToLocalBasis()`, `DMPlexLocalToGlobalBasis()`
859: @*/
860: PetscErrorCode DMPlexCreateBasisRotation(DM dm, PetscReal alpha, PetscReal beta, PetscReal gamma)
861: {
862: RotCtx *rc;
863: PetscInt cdim;
865: PetscFunctionBegin;
866: PetscCall(DMGetCoordinateDim(dm, &cdim));
867: PetscCall(PetscMalloc1(1, &rc));
868: dm->transformCtx = rc;
869: dm->transformSetUp = DMPlexBasisTransformSetUp_Rotation_Internal;
870: dm->transformDestroy = DMPlexBasisTransformDestroy_Rotation_Internal;
871: dm->transformGetMatrix = DMPlexBasisTransformGetMatrix_Rotation_Internal;
872: rc->dim = cdim;
873: rc->alpha = alpha;
874: rc->beta = beta;
875: rc->gamma = gamma;
876: PetscCall((*dm->transformSetUp)(dm, dm->transformCtx));
877: PetscCall(DMConstructBasisTransform_Internal(dm));
878: PetscFunctionReturn(PETSC_SUCCESS);
879: }
881: /*@C
882: DMPlexInsertBoundaryValuesEssential - Insert boundary values into a local vector using a function of the coordinates
884: Input Parameters:
885: + dm - The `DM`, with a `PetscDS` that matches the problem being constrained
886: . time - The time
887: . field - The field to constrain
888: . Nc - The number of constrained field components, or 0 for all components
889: . comps - An array of constrained component numbers, or `NULL` for all components
890: . label - The `DMLabel` defining constrained points
891: . numids - The number of `DMLabel` ids for constrained points
892: . ids - An array of ids for constrained points
893: . func - A pointwise function giving boundary values
894: - ctx - An optional user context for bcFunc
896: Output Parameter:
897: . locX - A local vector to receives the boundary values
899: Level: developer
901: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMLabel`, `DMPlexInsertBoundaryValuesEssentialField()`, `DMPlexInsertBoundaryValuesEssentialBdField()`, `DMAddBoundary()`
902: @*/
903: PetscErrorCode DMPlexInsertBoundaryValuesEssential(DM dm, PetscReal time, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void *ctx, Vec locX)
904: {
905: PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal x[], PetscInt, PetscScalar *u, void *ctx);
906: void **ctxs;
907: PetscInt numFields;
909: PetscFunctionBegin;
910: PetscCall(DMGetNumFields(dm, &numFields));
911: PetscCall(PetscCalloc2(numFields, &funcs, numFields, &ctxs));
912: funcs[field] = func;
913: ctxs[field] = ctx;
914: PetscCall(DMProjectFunctionLabelLocal(dm, time, label, numids, ids, Nc, comps, funcs, ctxs, INSERT_BC_VALUES, locX));
915: PetscCall(PetscFree2(funcs, ctxs));
916: PetscFunctionReturn(PETSC_SUCCESS);
917: }
919: /*@C
920: DMPlexInsertBoundaryValuesEssentialField - Insert boundary values into a local vector using a function of the coordinates and field data
922: Input Parameters:
923: + dm - The `DM`, with a `PetscDS` that matches the problem being constrained
924: . time - The time
925: . locU - A local vector with the input solution values
926: . field - The field to constrain
927: . Nc - The number of constrained field components, or 0 for all components
928: . comps - An array of constrained component numbers, or `NULL` for all components
929: . label - The `DMLabel` defining constrained points
930: . numids - The number of `DMLabel` ids for constrained points
931: . ids - An array of ids for constrained points
932: . func - A pointwise function giving boundary values
933: - ctx - An optional user context for bcFunc
935: Output Parameter:
936: . locX - A local vector to receives the boundary values
938: Level: developer
940: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexInsertBoundaryValuesEssential()`, `DMPlexInsertBoundaryValuesEssentialBdField()`, `DMAddBoundary()`
941: @*/
942: PetscErrorCode DMPlexInsertBoundaryValuesEssentialField(DM dm, PetscReal time, Vec locU, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[], void (*func)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), void *ctx, Vec locX)
943: {
944: void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]);
945: void **ctxs;
946: PetscInt numFields;
948: PetscFunctionBegin;
949: PetscCall(DMGetNumFields(dm, &numFields));
950: PetscCall(PetscCalloc2(numFields, &funcs, numFields, &ctxs));
951: funcs[field] = func;
952: ctxs[field] = ctx;
953: PetscCall(DMProjectFieldLabelLocal(dm, time, label, numids, ids, Nc, comps, locU, funcs, INSERT_BC_VALUES, locX));
954: PetscCall(PetscFree2(funcs, ctxs));
955: PetscFunctionReturn(PETSC_SUCCESS);
956: }
958: /*@C
959: DMPlexInsertBoundaryValuesEssentialBdField - Insert boundary values into a local vector using a function of the coordinates and boundary field data
961: Collective
963: Input Parameters:
964: + dm - The `DM`, with a `PetscDS` that matches the problem being constrained
965: . time - The time
966: . locU - A local vector with the input solution values
967: . field - The field to constrain
968: . Nc - The number of constrained field components, or 0 for all components
969: . comps - An array of constrained component numbers, or `NULL` for all components
970: . label - The `DMLabel` defining constrained points
971: . numids - The number of `DMLabel` ids for constrained points
972: . ids - An array of ids for constrained points
973: . func - A pointwise function giving boundary values, the calling sequence is given in `DMProjectBdFieldLabelLocal()`
974: - ctx - An optional user context for `func`
976: Output Parameter:
977: . locX - A local vector to receive the boundary values
979: Level: developer
981: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectBdFieldLabelLocal()`, `DMPlexInsertBoundaryValuesEssential()`, `DMPlexInsertBoundaryValuesEssentialField()`, `DMAddBoundary()`
982: @*/
983: PetscErrorCode DMPlexInsertBoundaryValuesEssentialBdField(DM dm, PetscReal time, Vec locU, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[], void (*func)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), void *ctx, Vec locX)
984: {
985: void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]);
986: void **ctxs;
987: PetscInt numFields;
989: PetscFunctionBegin;
990: PetscCall(DMGetNumFields(dm, &numFields));
991: PetscCall(PetscCalloc2(numFields, &funcs, numFields, &ctxs));
992: funcs[field] = func;
993: ctxs[field] = ctx;
994: PetscCall(DMProjectBdFieldLabelLocal(dm, time, label, numids, ids, Nc, comps, locU, funcs, INSERT_BC_VALUES, locX));
995: PetscCall(PetscFree2(funcs, ctxs));
996: PetscFunctionReturn(PETSC_SUCCESS);
997: }
999: /*@C
1000: DMPlexInsertBoundaryValuesRiemann - Insert boundary values into a local vector
1002: Input Parameters:
1003: + dm - The `DM`, with a `PetscDS` that matches the problem being constrained
1004: . time - The time
1005: . faceGeometry - A vector with the FVM face geometry information
1006: . cellGeometry - A vector with the FVM cell geometry information
1007: . Grad - A vector with the FVM cell gradient information
1008: . field - The field to constrain
1009: . Nc - The number of constrained field components, or 0 for all components
1010: . comps - An array of constrained component numbers, or `NULL` for all components
1011: . label - The `DMLabel` defining constrained points
1012: . numids - The number of `DMLabel` ids for constrained points
1013: . ids - An array of ids for constrained points
1014: . func - A pointwise function giving boundary values
1015: - ctx - An optional user context for bcFunc
1017: Output Parameter:
1018: . locX - A local vector to receives the boundary values
1020: Level: developer
1022: Note:
1023: This implementation currently ignores the numcomps/comps argument from `DMAddBoundary()`
1025: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexInsertBoundaryValuesEssential()`, `DMPlexInsertBoundaryValuesEssentialField()`, `DMAddBoundary()`
1026: @*/
1027: PetscErrorCode DMPlexInsertBoundaryValuesRiemann(DM dm, PetscReal time, Vec faceGeometry, Vec cellGeometry, Vec Grad, PetscInt field, PetscInt Nc, const PetscInt comps[], DMLabel label, PetscInt numids, const PetscInt ids[], PetscErrorCode (*func)(PetscReal, const PetscReal *, const PetscReal *, const PetscScalar *, PetscScalar *, void *), void *ctx, Vec locX)
1028: {
1029: PetscDS prob;
1030: PetscSF sf;
1031: DM dmFace, dmCell, dmGrad;
1032: const PetscScalar *facegeom, *cellgeom = NULL, *grad;
1033: const PetscInt *leaves;
1034: PetscScalar *x, *fx;
1035: PetscInt dim, nleaves, loc, fStart, fEnd, pdim, i;
1036: PetscErrorCode ierru = PETSC_SUCCESS;
1038: PetscFunctionBegin;
1039: PetscCall(DMGetPointSF(dm, &sf));
1040: PetscCall(PetscSFGetGraph(sf, NULL, &nleaves, &leaves, NULL));
1041: nleaves = PetscMax(0, nleaves);
1042: PetscCall(DMGetDimension(dm, &dim));
1043: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
1044: PetscCall(DMGetDS(dm, &prob));
1045: PetscCall(VecGetDM(faceGeometry, &dmFace));
1046: PetscCall(VecGetArrayRead(faceGeometry, &facegeom));
1047: if (cellGeometry) {
1048: PetscCall(VecGetDM(cellGeometry, &dmCell));
1049: PetscCall(VecGetArrayRead(cellGeometry, &cellgeom));
1050: }
1051: if (Grad) {
1052: PetscFV fv;
1054: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&fv));
1055: PetscCall(VecGetDM(Grad, &dmGrad));
1056: PetscCall(VecGetArrayRead(Grad, &grad));
1057: PetscCall(PetscFVGetNumComponents(fv, &pdim));
1058: PetscCall(DMGetWorkArray(dm, pdim, MPIU_SCALAR, &fx));
1059: }
1060: PetscCall(VecGetArray(locX, &x));
1061: for (i = 0; i < numids; ++i) {
1062: IS faceIS;
1063: const PetscInt *faces;
1064: PetscInt numFaces, f;
1066: PetscCall(DMLabelGetStratumIS(label, ids[i], &faceIS));
1067: if (!faceIS) continue; /* No points with that id on this process */
1068: PetscCall(ISGetLocalSize(faceIS, &numFaces));
1069: PetscCall(ISGetIndices(faceIS, &faces));
1070: for (f = 0; f < numFaces; ++f) {
1071: const PetscInt face = faces[f], *cells;
1072: PetscFVFaceGeom *fg;
1074: if ((face < fStart) || (face >= fEnd)) continue; /* Refinement adds non-faces to labels */
1075: PetscCall(PetscFindInt(face, nleaves, (PetscInt *)leaves, &loc));
1076: if (loc >= 0) continue;
1077: PetscCall(DMPlexPointLocalRead(dmFace, face, facegeom, &fg));
1078: PetscCall(DMPlexGetSupport(dm, face, &cells));
1079: if (Grad) {
1080: PetscFVCellGeom *cg;
1081: PetscScalar *cx, *cgrad;
1082: PetscScalar *xG;
1083: PetscReal dx[3];
1084: PetscInt d;
1086: PetscCall(DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cg));
1087: PetscCall(DMPlexPointLocalRead(dm, cells[0], x, &cx));
1088: PetscCall(DMPlexPointLocalRead(dmGrad, cells[0], grad, &cgrad));
1089: PetscCall(DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG));
1090: DMPlex_WaxpyD_Internal(dim, -1, cg->centroid, fg->centroid, dx);
1091: for (d = 0; d < pdim; ++d) fx[d] = cx[d] + DMPlex_DotD_Internal(dim, &cgrad[d * dim], dx);
1092: PetscCall((*func)(time, fg->centroid, fg->normal, fx, xG, ctx));
1093: } else {
1094: PetscScalar *xI;
1095: PetscScalar *xG;
1097: PetscCall(DMPlexPointLocalRead(dm, cells[0], x, &xI));
1098: PetscCall(DMPlexPointLocalFieldRef(dm, cells[1], field, x, &xG));
1099: ierru = (*func)(time, fg->centroid, fg->normal, xI, xG, ctx);
1100: if (ierru) {
1101: PetscCall(ISRestoreIndices(faceIS, &faces));
1102: PetscCall(ISDestroy(&faceIS));
1103: goto cleanup;
1104: }
1105: }
1106: }
1107: PetscCall(ISRestoreIndices(faceIS, &faces));
1108: PetscCall(ISDestroy(&faceIS));
1109: }
1110: cleanup:
1111: PetscCall(VecRestoreArray(locX, &x));
1112: if (Grad) {
1113: PetscCall(DMRestoreWorkArray(dm, pdim, MPIU_SCALAR, &fx));
1114: PetscCall(VecRestoreArrayRead(Grad, &grad));
1115: }
1116: if (cellGeometry) PetscCall(VecRestoreArrayRead(cellGeometry, &cellgeom));
1117: PetscCall(VecRestoreArrayRead(faceGeometry, &facegeom));
1118: PetscCall(ierru);
1119: PetscFunctionReturn(PETSC_SUCCESS);
1120: }
1122: static PetscErrorCode zero(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nc, PetscScalar *u, void *ctx)
1123: {
1124: PetscInt c;
1125: for (c = 0; c < Nc; ++c) u[c] = 0.0;
1126: return PETSC_SUCCESS;
1127: }
1129: PetscErrorCode DMPlexInsertBoundaryValues_Plex(DM dm, PetscBool insertEssential, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
1130: {
1131: PetscObject isZero;
1132: PetscDS prob;
1133: PetscInt numBd, b;
1135: PetscFunctionBegin;
1136: PetscCall(DMGetDS(dm, &prob));
1137: PetscCall(PetscDSGetNumBoundary(prob, &numBd));
1138: PetscCall(PetscObjectQuery((PetscObject)locX, "__Vec_bc_zero__", &isZero));
1139: PetscCall(PetscDSUpdateBoundaryLabels(prob, dm));
1140: for (b = 0; b < numBd; ++b) {
1141: PetscWeakForm wf;
1142: DMBoundaryConditionType type;
1143: const char *name;
1144: DMLabel label;
1145: PetscInt field, Nc;
1146: const PetscInt *comps;
1147: PetscObject obj;
1148: PetscClassId id;
1149: void (*bvfunc)(void);
1150: PetscInt numids;
1151: const PetscInt *ids;
1152: void *ctx;
1154: PetscCall(PetscDSGetBoundary(prob, b, &wf, &type, &name, &label, &numids, &ids, &field, &Nc, &comps, &bvfunc, NULL, &ctx));
1155: if (insertEssential != (type & DM_BC_ESSENTIAL)) continue;
1156: PetscCall(DMGetField(dm, field, NULL, &obj));
1157: PetscCall(PetscObjectGetClassId(obj, &id));
1158: if (id == PETSCFE_CLASSID) {
1159: switch (type) {
1160: /* for FEM, there is no insertion to be done for non-essential boundary conditions */
1161: case DM_BC_ESSENTIAL: {
1162: PetscSimplePointFn *func = (PetscSimplePointFn *)bvfunc;
1164: if (isZero) func = zero;
1165: PetscCall(DMPlexLabelAddCells(dm, label));
1166: PetscCall(DMPlexInsertBoundaryValuesEssential(dm, time, field, Nc, comps, label, numids, ids, func, ctx, locX));
1167: PetscCall(DMPlexLabelClearCells(dm, label));
1168: } break;
1169: case DM_BC_ESSENTIAL_FIELD: {
1170: PetscPointFunc func = (PetscPointFunc)bvfunc;
1172: PetscCall(DMPlexLabelAddCells(dm, label));
1173: PetscCall(DMPlexInsertBoundaryValuesEssentialField(dm, time, locX, field, Nc, comps, label, numids, ids, func, ctx, locX));
1174: PetscCall(DMPlexLabelClearCells(dm, label));
1175: } break;
1176: default:
1177: break;
1178: }
1179: } else if (id == PETSCFV_CLASSID) {
1180: {
1181: PetscErrorCode (*func)(PetscReal, const PetscReal *, const PetscReal *, const PetscScalar *, PetscScalar *, void *) = (PetscErrorCode(*)(PetscReal, const PetscReal *, const PetscReal *, const PetscScalar *, PetscScalar *, void *))bvfunc;
1183: if (!faceGeomFVM) continue;
1184: PetscCall(DMPlexInsertBoundaryValuesRiemann(dm, time, faceGeomFVM, cellGeomFVM, gradFVM, field, Nc, comps, label, numids, ids, func, ctx, locX));
1185: }
1186: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1187: }
1188: PetscFunctionReturn(PETSC_SUCCESS);
1189: }
1191: PetscErrorCode DMPlexInsertTimeDerivativeBoundaryValues_Plex(DM dm, PetscBool insertEssential, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
1192: {
1193: PetscObject isZero;
1194: PetscDS prob;
1195: PetscInt numBd, b;
1197: PetscFunctionBegin;
1198: if (!locX) PetscFunctionReturn(PETSC_SUCCESS);
1199: PetscCall(DMGetDS(dm, &prob));
1200: PetscCall(PetscDSGetNumBoundary(prob, &numBd));
1201: PetscCall(PetscObjectQuery((PetscObject)locX, "__Vec_bc_zero__", &isZero));
1202: for (b = 0; b < numBd; ++b) {
1203: PetscWeakForm wf;
1204: DMBoundaryConditionType type;
1205: const char *name;
1206: DMLabel label;
1207: PetscInt field, Nc;
1208: const PetscInt *comps;
1209: PetscObject obj;
1210: PetscClassId id;
1211: PetscInt numids;
1212: const PetscInt *ids;
1213: void (*bvfunc)(void);
1214: void *ctx;
1216: PetscCall(PetscDSGetBoundary(prob, b, &wf, &type, &name, &label, &numids, &ids, &field, &Nc, &comps, NULL, &bvfunc, &ctx));
1217: if (insertEssential != (type & DM_BC_ESSENTIAL)) continue;
1218: PetscCall(DMGetField(dm, field, NULL, &obj));
1219: PetscCall(PetscObjectGetClassId(obj, &id));
1220: if (id == PETSCFE_CLASSID) {
1221: switch (type) {
1222: /* for FEM, there is no insertion to be done for non-essential boundary conditions */
1223: case DM_BC_ESSENTIAL: {
1224: PetscSimplePointFn *func_t = (PetscSimplePointFn *)bvfunc;
1226: if (isZero) func_t = zero;
1227: PetscCall(DMPlexLabelAddCells(dm, label));
1228: PetscCall(DMPlexInsertBoundaryValuesEssential(dm, time, field, Nc, comps, label, numids, ids, func_t, ctx, locX));
1229: PetscCall(DMPlexLabelClearCells(dm, label));
1230: } break;
1231: case DM_BC_ESSENTIAL_FIELD: {
1232: PetscPointFunc func_t = (PetscPointFunc)bvfunc;
1234: PetscCall(DMPlexLabelAddCells(dm, label));
1235: PetscCall(DMPlexInsertBoundaryValuesEssentialField(dm, time, locX, field, Nc, comps, label, numids, ids, func_t, ctx, locX));
1236: PetscCall(DMPlexLabelClearCells(dm, label));
1237: } break;
1238: default:
1239: break;
1240: }
1241: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1242: }
1243: PetscFunctionReturn(PETSC_SUCCESS);
1244: }
1246: /*@
1247: DMPlexInsertBoundaryValues - Puts coefficients which represent boundary values into the local solution vector
1249: Not Collective
1251: Input Parameters:
1252: + dm - The `DM`
1253: . insertEssential - Should I insert essential (e.g. Dirichlet) or inessential (e.g. Neumann) boundary conditions
1254: . time - The time
1255: . faceGeomFVM - Face geometry data for FV discretizations
1256: . cellGeomFVM - Cell geometry data for FV discretizations
1257: - gradFVM - Gradient reconstruction data for FV discretizations
1259: Output Parameter:
1260: . locX - Solution updated with boundary values
1262: Level: intermediate
1264: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectFunctionLabelLocal()`, `DMAddBoundary()`
1265: @*/
1266: PetscErrorCode DMPlexInsertBoundaryValues(DM dm, PetscBool insertEssential, Vec locX, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
1267: {
1268: PetscFunctionBegin;
1274: PetscTryMethod(dm, "DMPlexInsertBoundaryValues_C", (DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec), (dm, insertEssential, locX, time, faceGeomFVM, cellGeomFVM, gradFVM));
1275: PetscFunctionReturn(PETSC_SUCCESS);
1276: }
1278: /*@
1279: DMPlexInsertTimeDerivativeBoundaryValues - Puts coefficients which represent boundary values of the time derivative into the local solution vector
1281: Input Parameters:
1282: + dm - The `DM`
1283: . insertEssential - Should I insert essential (e.g. Dirichlet) or inessential (e.g. Neumann) boundary conditions
1284: . time - The time
1285: . faceGeomFVM - Face geometry data for FV discretizations
1286: . cellGeomFVM - Cell geometry data for FV discretizations
1287: - gradFVM - Gradient reconstruction data for FV discretizations
1289: Output Parameter:
1290: . locX_t - Solution updated with boundary values
1292: Level: developer
1294: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectFunctionLabelLocal()`
1295: @*/
1296: PetscErrorCode DMPlexInsertTimeDerivativeBoundaryValues(DM dm, PetscBool insertEssential, Vec locX_t, PetscReal time, Vec faceGeomFVM, Vec cellGeomFVM, Vec gradFVM)
1297: {
1298: PetscFunctionBegin;
1304: PetscTryMethod(dm, "DMPlexInsertTimeDerivativeBoundaryValues_C", (DM, PetscBool, Vec, PetscReal, Vec, Vec, Vec), (dm, insertEssential, locX_t, time, faceGeomFVM, cellGeomFVM, gradFVM));
1305: PetscFunctionReturn(PETSC_SUCCESS);
1306: }
1308: // Handle non-essential (e.g. outflow) boundary values
1309: PetscErrorCode DMPlexInsertBoundaryValuesFVM(DM dm, PetscFV fv, Vec locX, PetscReal time, Vec *locGradient)
1310: {
1311: DM dmGrad;
1312: Vec cellGeometryFVM, faceGeometryFVM, locGrad = NULL;
1314: PetscFunctionBegin;
1318: if (locGradient) {
1319: PetscAssertPointer(locGradient, 5);
1320: *locGradient = NULL;
1321: }
1322: PetscCall(DMPlexGetGeometryFVM(dm, &faceGeometryFVM, &cellGeometryFVM, NULL));
1323: /* Reconstruct and limit cell gradients */
1324: PetscCall(DMPlexGetGradientDM(dm, fv, &dmGrad));
1325: if (dmGrad) {
1326: Vec grad;
1327: PetscInt fStart, fEnd;
1329: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
1330: PetscCall(DMGetGlobalVector(dmGrad, &grad));
1331: PetscCall(DMPlexReconstructGradients_Internal(dm, fv, fStart, fEnd, faceGeometryFVM, cellGeometryFVM, locX, grad));
1332: /* Communicate gradient values */
1333: PetscCall(DMGetLocalVector(dmGrad, &locGrad));
1334: PetscCall(DMGlobalToLocalBegin(dmGrad, grad, INSERT_VALUES, locGrad));
1335: PetscCall(DMGlobalToLocalEnd(dmGrad, grad, INSERT_VALUES, locGrad));
1336: PetscCall(DMRestoreGlobalVector(dmGrad, &grad));
1337: }
1338: PetscCall(DMPlexInsertBoundaryValues(dm, PETSC_FALSE, locX, time, faceGeometryFVM, cellGeometryFVM, locGrad));
1339: if (locGradient) *locGradient = locGrad;
1340: else if (locGrad) PetscCall(DMRestoreLocalVector(dmGrad, &locGrad));
1341: PetscFunctionReturn(PETSC_SUCCESS);
1342: }
1344: PetscErrorCode DMComputeL2Diff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
1345: {
1346: Vec localX;
1348: PetscFunctionBegin;
1349: PetscCall(DMGetLocalVector(dm, &localX));
1350: PetscCall(DMPlexInsertBoundaryValues(dm, PETSC_TRUE, localX, time, NULL, NULL, NULL));
1351: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX));
1352: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX));
1353: PetscCall(DMPlexComputeL2DiffLocal(dm, time, funcs, ctxs, localX, diff));
1354: PetscCall(DMRestoreLocalVector(dm, &localX));
1355: PetscFunctionReturn(PETSC_SUCCESS);
1356: }
1358: /*@C
1359: DMPlexComputeL2DiffLocal - This function computes the L_2 difference between a function u and an FEM interpolant solution u_h.
1361: Collective
1363: Input Parameters:
1364: + dm - The `DM`
1365: . time - The time
1366: . funcs - The functions to evaluate for each field component
1367: . ctxs - Optional array of contexts to pass to each function, or `NULL`.
1368: - localX - The coefficient vector u_h, a local vector
1370: Output Parameter:
1371: . diff - The diff ||u - u_h||_2
1373: Level: developer
1375: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectFunction()`, `DMComputeL2FieldDiff()`, `DMComputeL2GradientDiff()`
1376: @*/
1377: PetscErrorCode DMPlexComputeL2DiffLocal(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec localX, PetscReal *diff)
1378: {
1379: const PetscInt debug = ((DM_Plex *)dm->data)->printL2;
1380: DM tdm;
1381: Vec tv;
1382: PetscSection section;
1383: PetscQuadrature quad;
1384: PetscFEGeom fegeom;
1385: PetscScalar *funcVal, *interpolant;
1386: PetscReal *coords, *gcoords;
1387: PetscReal localDiff = 0.0;
1388: const PetscReal *quadWeights;
1389: PetscInt dim, coordDim, numFields, numComponents = 0, qNc, Nq, cellHeight, cStart, cEnd, c, field, fieldOffset;
1390: PetscBool transform;
1392: PetscFunctionBegin;
1393: PetscCall(DMGetDimension(dm, &dim));
1394: PetscCall(DMGetCoordinateDim(dm, &coordDim));
1395: fegeom.dimEmbed = coordDim;
1396: PetscCall(DMGetLocalSection(dm, §ion));
1397: PetscCall(PetscSectionGetNumFields(section, &numFields));
1398: PetscCall(DMGetBasisTransformDM_Internal(dm, &tdm));
1399: PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
1400: PetscCall(DMHasBasisTransform(dm, &transform));
1401: PetscCheck(numFields, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fields is zero!");
1402: for (field = 0; field < numFields; ++field) {
1403: PetscObject obj;
1404: PetscClassId id;
1405: PetscInt Nc;
1407: PetscCall(DMGetField(dm, field, NULL, &obj));
1408: PetscCall(PetscObjectGetClassId(obj, &id));
1409: if (id == PETSCFE_CLASSID) {
1410: PetscFE fe = (PetscFE)obj;
1412: PetscCall(PetscFEGetQuadrature(fe, &quad));
1413: PetscCall(PetscFEGetNumComponents(fe, &Nc));
1414: } else if (id == PETSCFV_CLASSID) {
1415: PetscFV fv = (PetscFV)obj;
1417: PetscCall(PetscFVGetQuadrature(fv, &quad));
1418: PetscCall(PetscFVGetNumComponents(fv, &Nc));
1419: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1420: numComponents += Nc;
1421: }
1422: PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, NULL, &quadWeights));
1423: PetscCheck(!(qNc != 1) || !(qNc != numComponents), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_SIZ, "Quadrature components %" PetscInt_FMT " != %" PetscInt_FMT " field components", qNc, numComponents);
1424: PetscCall(PetscMalloc6(numComponents, &funcVal, numComponents, &interpolant, coordDim * (Nq + 1), &coords, Nq, &fegeom.detJ, coordDim * coordDim * Nq, &fegeom.J, coordDim * coordDim * Nq, &fegeom.invJ));
1425: PetscCall(DMPlexGetVTKCellHeight(dm, &cellHeight));
1426: PetscCall(DMPlexGetSimplexOrBoxCells(dm, cellHeight, &cStart, &cEnd));
1427: for (c = cStart; c < cEnd; ++c) {
1428: PetscScalar *x = NULL;
1429: PetscReal elemDiff = 0.0;
1430: PetscInt qc = 0;
1432: PetscCall(DMPlexComputeCellGeometryFEM(dm, c, quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
1433: PetscCall(DMPlexVecGetOrientedClosure_Internal(dm, NULL, PETSC_FALSE, localX, c, 0, NULL, &x));
1435: for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1436: PetscObject obj;
1437: PetscClassId id;
1438: void *const ctx = ctxs ? ctxs[field] : NULL;
1439: PetscInt Nb, Nc, q, fc;
1441: PetscCall(DMGetField(dm, field, NULL, &obj));
1442: PetscCall(PetscObjectGetClassId(obj, &id));
1443: if (id == PETSCFE_CLASSID) {
1444: PetscCall(PetscFEGetNumComponents((PetscFE)obj, &Nc));
1445: PetscCall(PetscFEGetDimension((PetscFE)obj, &Nb));
1446: } else if (id == PETSCFV_CLASSID) {
1447: PetscCall(PetscFVGetNumComponents((PetscFV)obj, &Nc));
1448: Nb = 1;
1449: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1450: if (debug) {
1451: char title[1024];
1452: PetscCall(PetscSNPrintf(title, 1023, "Solution for Field %" PetscInt_FMT, field));
1453: PetscCall(DMPrintCellVector(c, title, Nb, &x[fieldOffset]));
1454: }
1455: for (q = 0; q < Nq; ++q) {
1456: PetscFEGeom qgeom;
1457: PetscErrorCode ierr;
1459: qgeom.dimEmbed = fegeom.dimEmbed;
1460: qgeom.J = &fegeom.J[q * coordDim * coordDim];
1461: qgeom.invJ = &fegeom.invJ[q * coordDim * coordDim];
1462: qgeom.detJ = &fegeom.detJ[q];
1463: PetscCheck(fegeom.detJ[q] > 0.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %" PetscInt_FMT ", point %" PetscInt_FMT, (double)fegeom.detJ[q], c, q);
1464: if (transform) {
1465: gcoords = &coords[coordDim * Nq];
1466: PetscCall(DMPlexBasisTransformApplyReal_Internal(dm, &coords[coordDim * q], PETSC_TRUE, coordDim, &coords[coordDim * q], gcoords, dm->transformCtx));
1467: } else {
1468: gcoords = &coords[coordDim * q];
1469: }
1470: PetscCall(PetscArrayzero(funcVal, Nc));
1471: ierr = (*funcs[field])(coordDim, time, gcoords, Nc, funcVal, ctx);
1472: if (ierr) {
1473: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x));
1474: PetscCall(DMRestoreLocalVector(dm, &localX));
1475: PetscCall(PetscFree6(funcVal, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
1476: }
1477: if (transform) PetscCall(DMPlexBasisTransformApply_Internal(dm, &coords[coordDim * q], PETSC_FALSE, Nc, funcVal, funcVal, dm->transformCtx));
1478: if (id == PETSCFE_CLASSID) PetscCall(PetscFEInterpolate_Static((PetscFE)obj, &x[fieldOffset], &qgeom, q, interpolant));
1479: else if (id == PETSCFV_CLASSID) PetscCall(PetscFVInterpolate_Static((PetscFV)obj, &x[fieldOffset], q, interpolant));
1480: else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1481: for (fc = 0; fc < Nc; ++fc) {
1482: const PetscReal wt = quadWeights[q * qNc + (qNc == 1 ? 0 : qc + fc)];
1483: if (debug)
1484: PetscCall(PetscPrintf(PETSC_COMM_SELF, " elem %" PetscInt_FMT " field %" PetscInt_FMT ",%" PetscInt_FMT " point %g %g %g diff %g (%g, %g)\n", c, field, fc, (double)(coordDim > 0 ? coords[coordDim * q] : 0.), (double)(coordDim > 1 ? coords[coordDim * q + 1] : 0.), (double)(coordDim > 2 ? coords[coordDim * q + 2] : 0.),
1485: (double)(PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q]), (double)PetscRealPart(interpolant[fc]), (double)PetscRealPart(funcVal[fc])));
1486: elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q];
1487: }
1488: }
1489: fieldOffset += Nb;
1490: qc += Nc;
1491: }
1492: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x));
1493: if (debug) PetscCall(PetscPrintf(PETSC_COMM_SELF, " elem %" PetscInt_FMT " diff %g\n", c, (double)elemDiff));
1494: localDiff += elemDiff;
1495: }
1496: PetscCall(PetscFree6(funcVal, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
1497: PetscCall(MPIU_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm)));
1498: *diff = PetscSqrtReal(*diff);
1499: PetscFunctionReturn(PETSC_SUCCESS);
1500: }
1502: PetscErrorCode DMComputeL2GradientDiff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, const PetscReal n[], PetscReal *diff)
1503: {
1504: const PetscInt debug = ((DM_Plex *)dm->data)->printL2;
1505: DM tdm;
1506: PetscSection section;
1507: PetscQuadrature quad;
1508: Vec localX, tv;
1509: PetscScalar *funcVal, *interpolant;
1510: const PetscReal *quadWeights;
1511: PetscFEGeom fegeom;
1512: PetscReal *coords, *gcoords;
1513: PetscReal localDiff = 0.0;
1514: PetscInt dim, coordDim, qNc = 0, Nq = 0, numFields, numComponents = 0, cStart, cEnd, c, field, fieldOffset;
1515: PetscBool transform;
1517: PetscFunctionBegin;
1518: PetscCall(DMGetDimension(dm, &dim));
1519: PetscCall(DMGetCoordinateDim(dm, &coordDim));
1520: fegeom.dimEmbed = coordDim;
1521: PetscCall(DMGetLocalSection(dm, §ion));
1522: PetscCall(PetscSectionGetNumFields(section, &numFields));
1523: PetscCall(DMGetLocalVector(dm, &localX));
1524: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX));
1525: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX));
1526: PetscCall(DMGetBasisTransformDM_Internal(dm, &tdm));
1527: PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
1528: PetscCall(DMHasBasisTransform(dm, &transform));
1529: for (field = 0; field < numFields; ++field) {
1530: PetscFE fe;
1531: PetscInt Nc;
1533: PetscCall(DMGetField(dm, field, NULL, (PetscObject *)&fe));
1534: PetscCall(PetscFEGetQuadrature(fe, &quad));
1535: PetscCall(PetscFEGetNumComponents(fe, &Nc));
1536: numComponents += Nc;
1537: }
1538: PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, NULL, &quadWeights));
1539: PetscCheck(!(qNc != 1) || !(qNc != numComponents), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_SIZ, "Quadrature components %" PetscInt_FMT " != %" PetscInt_FMT " field components", qNc, numComponents);
1540: /* PetscCall(DMProjectFunctionLocal(dm, fe, funcs, INSERT_BC_VALUES, localX)); */
1541: PetscCall(PetscMalloc6(numComponents, &funcVal, coordDim * (Nq + 1), &coords, coordDim * coordDim * Nq, &fegeom.J, coordDim * coordDim * Nq, &fegeom.invJ, numComponents * coordDim, &interpolant, Nq, &fegeom.detJ));
1542: PetscCall(DMPlexGetSimplexOrBoxCells(dm, 0, &cStart, &cEnd));
1543: for (c = cStart; c < cEnd; ++c) {
1544: PetscScalar *x = NULL;
1545: PetscReal elemDiff = 0.0;
1546: PetscInt qc = 0;
1548: PetscCall(DMPlexComputeCellGeometryFEM(dm, c, quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
1549: PetscCall(DMPlexVecGetOrientedClosure_Internal(dm, NULL, PETSC_FALSE, localX, c, 0, NULL, &x));
1551: for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1552: PetscFE fe;
1553: void *const ctx = ctxs ? ctxs[field] : NULL;
1554: PetscInt Nb, Nc, q, fc;
1556: PetscCall(DMGetField(dm, field, NULL, (PetscObject *)&fe));
1557: PetscCall(PetscFEGetDimension(fe, &Nb));
1558: PetscCall(PetscFEGetNumComponents(fe, &Nc));
1559: if (debug) {
1560: char title[1024];
1561: PetscCall(PetscSNPrintf(title, 1023, "Solution for Field %" PetscInt_FMT, field));
1562: PetscCall(DMPrintCellVector(c, title, Nb, &x[fieldOffset]));
1563: }
1564: for (q = 0; q < Nq; ++q) {
1565: PetscFEGeom qgeom;
1566: PetscErrorCode ierr;
1568: qgeom.dimEmbed = fegeom.dimEmbed;
1569: qgeom.J = &fegeom.J[q * coordDim * coordDim];
1570: qgeom.invJ = &fegeom.invJ[q * coordDim * coordDim];
1571: qgeom.detJ = &fegeom.detJ[q];
1572: PetscCheck(fegeom.detJ[q] > 0.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %" PetscInt_FMT ", quadrature points %" PetscInt_FMT, (double)fegeom.detJ[q], c, q);
1573: if (transform) {
1574: gcoords = &coords[coordDim * Nq];
1575: PetscCall(DMPlexBasisTransformApplyReal_Internal(dm, &coords[coordDim * q], PETSC_TRUE, coordDim, &coords[coordDim * q], gcoords, dm->transformCtx));
1576: } else {
1577: gcoords = &coords[coordDim * q];
1578: }
1579: PetscCall(PetscArrayzero(funcVal, Nc));
1580: ierr = (*funcs[field])(coordDim, time, gcoords, n, Nc, funcVal, ctx);
1581: if (ierr) {
1582: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x));
1583: PetscCall(DMRestoreLocalVector(dm, &localX));
1584: PetscCall(PetscFree6(funcVal, coords, fegeom.J, fegeom.invJ, interpolant, fegeom.detJ));
1585: }
1586: if (transform) PetscCall(DMPlexBasisTransformApply_Internal(dm, &coords[coordDim * q], PETSC_FALSE, Nc, funcVal, funcVal, dm->transformCtx));
1587: PetscCall(PetscFEInterpolateGradient_Static(fe, 1, &x[fieldOffset], &qgeom, q, interpolant));
1588: /* Overwrite with the dot product if the normal is given */
1589: if (n) {
1590: for (fc = 0; fc < Nc; ++fc) {
1591: PetscScalar sum = 0.0;
1592: PetscInt d;
1593: for (d = 0; d < dim; ++d) sum += interpolant[fc * dim + d] * n[d];
1594: interpolant[fc] = sum;
1595: }
1596: }
1597: for (fc = 0; fc < Nc; ++fc) {
1598: const PetscReal wt = quadWeights[q * qNc + (qNc == 1 ? 0 : qc + fc)];
1599: if (debug) PetscCall(PetscPrintf(PETSC_COMM_SELF, " elem %" PetscInt_FMT " fieldDer %" PetscInt_FMT ",%" PetscInt_FMT " diff %g\n", c, field, fc, (double)(PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q])));
1600: elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q];
1601: }
1602: }
1603: fieldOffset += Nb;
1604: qc += Nc;
1605: }
1606: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x));
1607: if (debug) PetscCall(PetscPrintf(PETSC_COMM_SELF, " elem %" PetscInt_FMT " diff %g\n", c, (double)elemDiff));
1608: localDiff += elemDiff;
1609: }
1610: PetscCall(PetscFree6(funcVal, coords, fegeom.J, fegeom.invJ, interpolant, fegeom.detJ));
1611: PetscCall(DMRestoreLocalVector(dm, &localX));
1612: PetscCall(MPIU_Allreduce(&localDiff, diff, 1, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm)));
1613: *diff = PetscSqrtReal(*diff);
1614: PetscFunctionReturn(PETSC_SUCCESS);
1615: }
1617: PetscErrorCode DMComputeL2FieldDiff_Plex(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, PetscReal *diff)
1618: {
1619: const PetscInt debug = ((DM_Plex *)dm->data)->printL2;
1620: DM tdm;
1621: DMLabel depthLabel;
1622: PetscSection section;
1623: Vec localX, tv;
1624: PetscReal *localDiff;
1625: PetscInt dim, depth, dE, Nf, f, Nds, s;
1626: PetscBool transform;
1628: PetscFunctionBegin;
1629: PetscCall(DMGetDimension(dm, &dim));
1630: PetscCall(DMGetCoordinateDim(dm, &dE));
1631: PetscCall(DMGetLocalSection(dm, §ion));
1632: PetscCall(DMGetLocalVector(dm, &localX));
1633: PetscCall(DMGetBasisTransformDM_Internal(dm, &tdm));
1634: PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
1635: PetscCall(DMHasBasisTransform(dm, &transform));
1636: PetscCall(DMGetNumFields(dm, &Nf));
1637: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
1638: PetscCall(DMLabelGetNumValues(depthLabel, &depth));
1640: PetscCall(VecSet(localX, 0.0));
1641: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX));
1642: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX));
1643: PetscCall(DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX));
1644: PetscCall(DMGetNumDS(dm, &Nds));
1645: PetscCall(PetscCalloc1(Nf, &localDiff));
1646: for (s = 0; s < Nds; ++s) {
1647: PetscDS ds;
1648: DMLabel label;
1649: IS fieldIS, pointIS;
1650: const PetscInt *fields, *points = NULL;
1651: PetscQuadrature quad;
1652: const PetscReal *quadPoints, *quadWeights;
1653: PetscFEGeom fegeom;
1654: PetscReal *coords, *gcoords;
1655: PetscScalar *funcVal, *interpolant;
1656: PetscBool isCohesive;
1657: PetscInt qNc, Nq, totNc, cStart = 0, cEnd, c, dsNf;
1659: PetscCall(DMGetRegionNumDS(dm, s, &label, &fieldIS, &ds, NULL));
1660: PetscCall(ISGetIndices(fieldIS, &fields));
1661: PetscCall(PetscDSIsCohesive(ds, &isCohesive));
1662: PetscCall(PetscDSGetNumFields(ds, &dsNf));
1663: PetscCall(PetscDSGetTotalComponents(ds, &totNc));
1664: PetscCall(PetscDSGetQuadrature(ds, &quad));
1665: PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights));
1666: PetscCheck(!(qNc != 1) || !(qNc != totNc), PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Quadrature components %" PetscInt_FMT " != %" PetscInt_FMT " field components", qNc, totNc);
1667: PetscCall(PetscCalloc6(totNc, &funcVal, totNc, &interpolant, dE * (Nq + 1), &coords, Nq, &fegeom.detJ, dE * dE * Nq, &fegeom.J, dE * dE * Nq, &fegeom.invJ));
1668: if (!label) {
1669: PetscCall(DMPlexGetSimplexOrBoxCells(dm, 0, &cStart, &cEnd));
1670: } else {
1671: PetscCall(DMLabelGetStratumIS(label, 1, &pointIS));
1672: PetscCall(ISGetLocalSize(pointIS, &cEnd));
1673: PetscCall(ISGetIndices(pointIS, &points));
1674: }
1675: for (c = cStart; c < cEnd; ++c) {
1676: const PetscInt cell = points ? points[c] : c;
1677: PetscScalar *x = NULL;
1678: const PetscInt *cone;
1679: PetscInt qc = 0, fOff = 0, dep;
1681: PetscCall(DMLabelGetValue(depthLabel, cell, &dep));
1682: if (dep != depth - 1) continue;
1683: if (isCohesive) {
1684: PetscCall(DMPlexGetCone(dm, cell, &cone));
1685: PetscCall(DMPlexComputeCellGeometryFEM(dm, cone[0], quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
1686: } else {
1687: PetscCall(DMPlexComputeCellGeometryFEM(dm, cell, quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
1688: }
1689: PetscCall(DMPlexVecGetOrientedClosure_Internal(dm, NULL, PETSC_FALSE, localX, cell, 0, NULL, &x));
1690: for (f = 0; f < dsNf; ++f) {
1691: PetscObject obj;
1692: PetscClassId id;
1693: void *const ctx = ctxs ? ctxs[fields[f]] : NULL;
1694: PetscInt Nb, Nc, q, fc;
1695: PetscReal elemDiff = 0.0;
1696: PetscBool cohesive;
1698: PetscCall(PetscDSGetCohesive(ds, f, &cohesive));
1699: PetscCall(PetscDSGetDiscretization(ds, f, &obj));
1700: PetscCall(PetscObjectGetClassId(obj, &id));
1701: if (id == PETSCFE_CLASSID) {
1702: PetscCall(PetscFEGetNumComponents((PetscFE)obj, &Nc));
1703: PetscCall(PetscFEGetDimension((PetscFE)obj, &Nb));
1704: } else if (id == PETSCFV_CLASSID) {
1705: PetscCall(PetscFVGetNumComponents((PetscFV)obj, &Nc));
1706: Nb = 1;
1707: } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, fields[f]);
1708: if (isCohesive && !cohesive) {
1709: fOff += Nb * 2;
1710: qc += Nc;
1711: continue;
1712: }
1713: if (debug) {
1714: char title[1024];
1715: PetscCall(PetscSNPrintf(title, 1023, "Solution for Field %" PetscInt_FMT, fields[f]));
1716: PetscCall(DMPrintCellVector(cell, title, Nb, &x[fOff]));
1717: }
1718: for (q = 0; q < Nq; ++q) {
1719: PetscFEGeom qgeom;
1720: PetscErrorCode ierr;
1722: qgeom.dimEmbed = fegeom.dimEmbed;
1723: qgeom.J = &fegeom.J[q * dE * dE];
1724: qgeom.invJ = &fegeom.invJ[q * dE * dE];
1725: qgeom.detJ = &fegeom.detJ[q];
1726: PetscCheck(fegeom.detJ[q] > 0.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for cell %" PetscInt_FMT ", quadrature point %" PetscInt_FMT, (double)fegeom.detJ[q], cell, q);
1727: if (transform) {
1728: gcoords = &coords[dE * Nq];
1729: PetscCall(DMPlexBasisTransformApplyReal_Internal(dm, &coords[dE * q], PETSC_TRUE, dE, &coords[dE * q], gcoords, dm->transformCtx));
1730: } else {
1731: gcoords = &coords[dE * q];
1732: }
1733: for (fc = 0; fc < Nc; ++fc) funcVal[fc] = 0.;
1734: ierr = (*funcs[fields[f]])(dE, time, gcoords, Nc, funcVal, ctx);
1735: if (ierr) {
1736: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, cell, NULL, &x));
1737: PetscCall(DMRestoreLocalVector(dm, &localX));
1738: PetscCall(PetscFree6(funcVal, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
1739: }
1740: if (transform) PetscCall(DMPlexBasisTransformApply_Internal(dm, &coords[dE * q], PETSC_FALSE, Nc, funcVal, funcVal, dm->transformCtx));
1741: /* Call once for each face, except for lagrange field */
1742: if (id == PETSCFE_CLASSID) PetscCall(PetscFEInterpolate_Static((PetscFE)obj, &x[fOff], &qgeom, q, interpolant));
1743: else if (id == PETSCFV_CLASSID) PetscCall(PetscFVInterpolate_Static((PetscFV)obj, &x[fOff], q, interpolant));
1744: else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, fields[f]);
1745: for (fc = 0; fc < Nc; ++fc) {
1746: const PetscReal wt = quadWeights[q * qNc + (qNc == 1 ? 0 : qc + fc)];
1747: if (debug)
1748: PetscCall(PetscPrintf(PETSC_COMM_SELF, " cell %" PetscInt_FMT " field %" PetscInt_FMT ",%" PetscInt_FMT " point %g %g %g diff %g\n", cell, fields[f], fc, (double)(dE > 0 ? coords[dE * q] : 0.), (double)(dE > 1 ? coords[dE * q + 1] : 0.), (double)(dE > 2 ? coords[dE * q + 2] : 0.),
1749: (double)(PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q])));
1750: elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q];
1751: }
1752: }
1753: fOff += Nb;
1754: qc += Nc;
1755: localDiff[fields[f]] += elemDiff;
1756: if (debug) PetscCall(PetscPrintf(PETSC_COMM_SELF, " cell %" PetscInt_FMT " field %" PetscInt_FMT " cum diff %g\n", cell, fields[f], (double)localDiff[fields[f]]));
1757: }
1758: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, cell, NULL, &x));
1759: }
1760: if (label) {
1761: PetscCall(ISRestoreIndices(pointIS, &points));
1762: PetscCall(ISDestroy(&pointIS));
1763: }
1764: PetscCall(ISRestoreIndices(fieldIS, &fields));
1765: PetscCall(PetscFree6(funcVal, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
1766: }
1767: PetscCall(DMRestoreLocalVector(dm, &localX));
1768: PetscCall(MPIU_Allreduce(localDiff, diff, Nf, MPIU_REAL, MPIU_SUM, PetscObjectComm((PetscObject)dm)));
1769: PetscCall(PetscFree(localDiff));
1770: for (f = 0; f < Nf; ++f) diff[f] = PetscSqrtReal(diff[f]);
1771: PetscFunctionReturn(PETSC_SUCCESS);
1772: }
1774: /*@C
1775: DMPlexComputeL2DiffVec - This function computes the cellwise L_2 difference between a function u and an FEM interpolant solution u_h, and stores it in a Vec.
1777: Collective
1779: Input Parameters:
1780: + dm - The `DM`
1781: . time - The time
1782: . funcs - The functions to evaluate for each field component: `NULL` means that component does not contribute to error calculation
1783: . ctxs - Optional array of contexts to pass to each function, or `NULL`.
1784: - X - The coefficient vector u_h
1786: Output Parameter:
1787: . D - A `Vec` which holds the difference ||u - u_h||_2 for each cell
1789: Level: developer
1791: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectFunction()`, `DMComputeL2Diff()`, `DMPlexComputeL2FieldDiff()`, `DMComputeL2GradientDiff()`
1792: @*/
1793: PetscErrorCode DMPlexComputeL2DiffVec(DM dm, PetscReal time, PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal[], PetscInt, PetscScalar *, void *), void **ctxs, Vec X, Vec D)
1794: {
1795: PetscSection section;
1796: PetscQuadrature quad;
1797: Vec localX;
1798: PetscFEGeom fegeom;
1799: PetscScalar *funcVal, *interpolant;
1800: PetscReal *coords;
1801: const PetscReal *quadPoints, *quadWeights;
1802: PetscInt dim, coordDim, numFields, numComponents = 0, qNc, Nq, cStart, cEnd, c, field, fieldOffset;
1804: PetscFunctionBegin;
1805: PetscCall(VecSet(D, 0.0));
1806: PetscCall(DMGetDimension(dm, &dim));
1807: PetscCall(DMGetCoordinateDim(dm, &coordDim));
1808: PetscCall(DMGetLocalSection(dm, §ion));
1809: PetscCall(PetscSectionGetNumFields(section, &numFields));
1810: PetscCall(DMGetLocalVector(dm, &localX));
1811: PetscCall(DMProjectFunctionLocal(dm, time, funcs, ctxs, INSERT_BC_VALUES, localX));
1812: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, localX));
1813: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, localX));
1814: for (field = 0; field < numFields; ++field) {
1815: PetscObject obj;
1816: PetscClassId id;
1817: PetscInt Nc;
1819: PetscCall(DMGetField(dm, field, NULL, &obj));
1820: PetscCall(PetscObjectGetClassId(obj, &id));
1821: if (id == PETSCFE_CLASSID) {
1822: PetscFE fe = (PetscFE)obj;
1824: PetscCall(PetscFEGetQuadrature(fe, &quad));
1825: PetscCall(PetscFEGetNumComponents(fe, &Nc));
1826: } else if (id == PETSCFV_CLASSID) {
1827: PetscFV fv = (PetscFV)obj;
1829: PetscCall(PetscFVGetQuadrature(fv, &quad));
1830: PetscCall(PetscFVGetNumComponents(fv, &Nc));
1831: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1832: numComponents += Nc;
1833: }
1834: PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights));
1835: PetscCheck(!(qNc != 1) || !(qNc != numComponents), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_SIZ, "Quadrature components %" PetscInt_FMT " != %" PetscInt_FMT " field components", qNc, numComponents);
1836: PetscCall(PetscMalloc6(numComponents, &funcVal, numComponents, &interpolant, coordDim * Nq, &coords, Nq, &fegeom.detJ, coordDim * coordDim * Nq, &fegeom.J, coordDim * coordDim * Nq, &fegeom.invJ));
1837: PetscCall(DMPlexGetSimplexOrBoxCells(dm, 0, &cStart, &cEnd));
1838: for (c = cStart; c < cEnd; ++c) {
1839: PetscScalar *x = NULL;
1840: PetscScalar elemDiff = 0.0;
1841: PetscInt qc = 0;
1843: PetscCall(DMPlexComputeCellGeometryFEM(dm, c, quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
1844: PetscCall(DMPlexVecGetOrientedClosure_Internal(dm, NULL, PETSC_FALSE, localX, c, 0, NULL, &x));
1846: for (field = 0, fieldOffset = 0; field < numFields; ++field) {
1847: PetscObject obj;
1848: PetscClassId id;
1849: void *const ctx = ctxs ? ctxs[field] : NULL;
1850: PetscInt Nb, Nc, q, fc;
1852: PetscCall(DMGetField(dm, field, NULL, &obj));
1853: PetscCall(PetscObjectGetClassId(obj, &id));
1854: if (id == PETSCFE_CLASSID) {
1855: PetscCall(PetscFEGetNumComponents((PetscFE)obj, &Nc));
1856: PetscCall(PetscFEGetDimension((PetscFE)obj, &Nb));
1857: } else if (id == PETSCFV_CLASSID) {
1858: PetscCall(PetscFVGetNumComponents((PetscFV)obj, &Nc));
1859: Nb = 1;
1860: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1861: if (funcs[field]) {
1862: for (q = 0; q < Nq; ++q) {
1863: PetscFEGeom qgeom;
1865: qgeom.dimEmbed = fegeom.dimEmbed;
1866: qgeom.J = &fegeom.J[q * coordDim * coordDim];
1867: qgeom.invJ = &fegeom.invJ[q * coordDim * coordDim];
1868: qgeom.detJ = &fegeom.detJ[q];
1869: PetscCheck(fegeom.detJ[q] > 0.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %" PetscInt_FMT ", quadrature points %" PetscInt_FMT, (double)fegeom.detJ[q], c, q);
1870: PetscCall((*funcs[field])(coordDim, time, &coords[q * coordDim], Nc, funcVal, ctx));
1871: #if defined(needs_fix_with_return_code_argument)
1872: if (ierr) {
1873: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x));
1874: PetscCall(PetscFree6(funcVal, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
1875: PetscCall(DMRestoreLocalVector(dm, &localX));
1876: }
1877: #endif
1878: if (id == PETSCFE_CLASSID) PetscCall(PetscFEInterpolate_Static((PetscFE)obj, &x[fieldOffset], &qgeom, q, interpolant));
1879: else if (id == PETSCFV_CLASSID) PetscCall(PetscFVInterpolate_Static((PetscFV)obj, &x[fieldOffset], q, interpolant));
1880: else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
1881: for (fc = 0; fc < Nc; ++fc) {
1882: const PetscReal wt = quadWeights[q * qNc + (qNc == 1 ? 0 : qc + fc)];
1883: elemDiff += PetscSqr(PetscRealPart(interpolant[fc] - funcVal[fc])) * wt * fegeom.detJ[q];
1884: }
1885: }
1886: }
1887: fieldOffset += Nb;
1888: qc += Nc;
1889: }
1890: PetscCall(DMPlexVecRestoreClosure(dm, NULL, localX, c, NULL, &x));
1891: PetscCall(VecSetValue(D, c - cStart, elemDiff, INSERT_VALUES));
1892: }
1893: PetscCall(PetscFree6(funcVal, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
1894: PetscCall(DMRestoreLocalVector(dm, &localX));
1895: PetscCall(VecSqrtAbs(D));
1896: PetscFunctionReturn(PETSC_SUCCESS);
1897: }
1899: /*@
1900: DMPlexComputeClementInterpolant - This function computes the L2 projection of the cellwise values of a function u onto P1
1902: Collective
1904: Input Parameters:
1905: + dm - The `DM`
1906: - locX - The coefficient vector u_h
1908: Output Parameter:
1909: . locC - A `Vec` which holds the Clement interpolant of the function
1911: Level: developer
1913: Note:
1914: $ u_h(v_i) = \sum_{T_i \in support(v_i)} |T_i| u_h(T_i) / \sum_{T_i \in support(v_i)} |T_i| $ where $ |T_i| $ is the cell volume
1916: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectFunction()`, `DMComputeL2Diff()`, `DMPlexComputeL2FieldDiff()`, `DMComputeL2GradientDiff()`
1917: @*/
1918: PetscErrorCode DMPlexComputeClementInterpolant(DM dm, Vec locX, Vec locC)
1919: {
1920: PetscInt debug = ((DM_Plex *)dm->data)->printFEM;
1921: DM dmc;
1922: PetscQuadrature quad;
1923: PetscScalar *interpolant, *valsum;
1924: PetscFEGeom fegeom;
1925: PetscReal *coords;
1926: const PetscReal *quadPoints, *quadWeights;
1927: PetscInt dim, cdim, Nf, f, Nc = 0, Nq, qNc, cStart, cEnd, vStart, vEnd, v;
1929: PetscFunctionBegin;
1930: PetscCall(PetscCitationsRegister(ClementCitation, &Clementcite));
1931: PetscCall(VecGetDM(locC, &dmc));
1932: PetscCall(VecSet(locC, 0.0));
1933: PetscCall(DMGetDimension(dm, &dim));
1934: PetscCall(DMGetCoordinateDim(dm, &cdim));
1935: fegeom.dimEmbed = cdim;
1936: PetscCall(DMGetNumFields(dm, &Nf));
1937: PetscCheck(Nf > 0, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fields is zero!");
1938: for (f = 0; f < Nf; ++f) {
1939: PetscObject obj;
1940: PetscClassId id;
1941: PetscInt fNc;
1943: PetscCall(DMGetField(dm, f, NULL, &obj));
1944: PetscCall(PetscObjectGetClassId(obj, &id));
1945: if (id == PETSCFE_CLASSID) {
1946: PetscFE fe = (PetscFE)obj;
1948: PetscCall(PetscFEGetQuadrature(fe, &quad));
1949: PetscCall(PetscFEGetNumComponents(fe, &fNc));
1950: } else if (id == PETSCFV_CLASSID) {
1951: PetscFV fv = (PetscFV)obj;
1953: PetscCall(PetscFVGetQuadrature(fv, &quad));
1954: PetscCall(PetscFVGetNumComponents(fv, &fNc));
1955: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, f);
1956: Nc += fNc;
1957: }
1958: PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights));
1959: PetscCheck(qNc == 1, PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_SIZ, "Quadrature components %" PetscInt_FMT " > 1", qNc);
1960: PetscCall(PetscMalloc6(Nc * 2, &valsum, Nc, &interpolant, cdim * Nq, &coords, Nq, &fegeom.detJ, cdim * cdim * Nq, &fegeom.J, cdim * cdim * Nq, &fegeom.invJ));
1961: PetscCall(DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd));
1962: PetscCall(DMPlexGetSimplexOrBoxCells(dm, 0, &cStart, &cEnd));
1963: for (v = vStart; v < vEnd; ++v) {
1964: PetscScalar volsum = 0.0;
1965: PetscInt *star = NULL;
1966: PetscInt starSize, st, fc;
1968: PetscCall(PetscArrayzero(valsum, Nc));
1969: PetscCall(DMPlexGetTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star));
1970: for (st = 0; st < starSize * 2; st += 2) {
1971: const PetscInt cell = star[st];
1972: PetscScalar *val = &valsum[Nc];
1973: PetscScalar *x = NULL;
1974: PetscReal vol = 0.0;
1975: PetscInt foff = 0;
1977: if ((cell < cStart) || (cell >= cEnd)) continue;
1978: PetscCall(DMPlexComputeCellGeometryFEM(dm, cell, quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
1979: PetscCall(DMPlexVecGetClosure(dm, NULL, locX, cell, NULL, &x));
1980: for (f = 0; f < Nf; ++f) {
1981: PetscObject obj;
1982: PetscClassId id;
1983: PetscInt Nb, fNc, q;
1985: PetscCall(PetscArrayzero(val, Nc));
1986: PetscCall(DMGetField(dm, f, NULL, &obj));
1987: PetscCall(PetscObjectGetClassId(obj, &id));
1988: if (id == PETSCFE_CLASSID) {
1989: PetscCall(PetscFEGetNumComponents((PetscFE)obj, &fNc));
1990: PetscCall(PetscFEGetDimension((PetscFE)obj, &Nb));
1991: } else if (id == PETSCFV_CLASSID) {
1992: PetscCall(PetscFVGetNumComponents((PetscFV)obj, &fNc));
1993: Nb = 1;
1994: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, f);
1995: for (q = 0; q < Nq; ++q) {
1996: const PetscReal wt = quadWeights[q] * fegeom.detJ[q];
1997: PetscFEGeom qgeom;
1999: qgeom.dimEmbed = fegeom.dimEmbed;
2000: qgeom.J = &fegeom.J[q * cdim * cdim];
2001: qgeom.invJ = &fegeom.invJ[q * cdim * cdim];
2002: qgeom.detJ = &fegeom.detJ[q];
2003: PetscCheck(fegeom.detJ[q] > 0.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %" PetscInt_FMT ", quadrature points %" PetscInt_FMT, (double)fegeom.detJ[q], cell, q);
2004: if (id == PETSCFE_CLASSID) PetscCall(PetscFEInterpolate_Static((PetscFE)obj, &x[foff], &qgeom, q, interpolant));
2005: else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, f);
2006: for (fc = 0; fc < fNc; ++fc) val[foff + fc] += interpolant[fc] * wt;
2007: vol += wt;
2008: }
2009: foff += Nb;
2010: }
2011: PetscCall(DMPlexVecRestoreClosure(dm, NULL, locX, cell, NULL, &x));
2012: for (fc = 0; fc < Nc; ++fc) valsum[fc] += val[fc];
2013: volsum += vol;
2014: if (debug) {
2015: PetscCall(PetscPrintf(PETSC_COMM_SELF, "Vertex %" PetscInt_FMT " Cell %" PetscInt_FMT " value: [", v, cell));
2016: for (fc = 0; fc < Nc; ++fc) {
2017: if (fc) PetscCall(PetscPrintf(PETSC_COMM_SELF, ", "));
2018: PetscCall(PetscPrintf(PETSC_COMM_SELF, "%g", (double)PetscRealPart(val[fc])));
2019: }
2020: PetscCall(PetscPrintf(PETSC_COMM_SELF, "]\n"));
2021: }
2022: }
2023: for (fc = 0; fc < Nc; ++fc) valsum[fc] /= volsum;
2024: PetscCall(DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star));
2025: PetscCall(DMPlexVecSetClosure(dmc, NULL, locC, v, valsum, INSERT_VALUES));
2026: }
2027: PetscCall(PetscFree6(valsum, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
2028: PetscFunctionReturn(PETSC_SUCCESS);
2029: }
2031: /*@
2032: DMPlexComputeGradientClementInterpolant - This function computes the L2 projection of the cellwise gradient of a function u onto P1
2034: Collective
2036: Input Parameters:
2037: + dm - The `DM`
2038: - locX - The coefficient vector u_h
2040: Output Parameter:
2041: . locC - A `Vec` which holds the Clement interpolant of the gradient
2043: Level: developer
2045: Note:
2046: $\nabla u_h(v_i) = \sum_{T_i \in support(v_i)} |T_i| \nabla u_h(T_i) / \sum_{T_i \in support(v_i)} |T_i| $ where $ |T_i| $ is the cell volume
2048: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMProjectFunction()`, `DMComputeL2Diff()`, `DMPlexComputeL2FieldDiff()`, `DMComputeL2GradientDiff()`
2049: @*/
2050: PetscErrorCode DMPlexComputeGradientClementInterpolant(DM dm, Vec locX, Vec locC)
2051: {
2052: DM_Plex *mesh = (DM_Plex *)dm->data;
2053: PetscInt debug = mesh->printFEM;
2054: DM dmC;
2055: PetscQuadrature quad;
2056: PetscScalar *interpolant, *gradsum;
2057: PetscFEGeom fegeom;
2058: PetscReal *coords;
2059: const PetscReal *quadPoints, *quadWeights;
2060: PetscInt dim, coordDim, numFields, numComponents = 0, qNc, Nq, cStart, cEnd, vStart, vEnd, v, field, fieldOffset;
2062: PetscFunctionBegin;
2063: PetscCall(PetscCitationsRegister(ClementCitation, &Clementcite));
2064: PetscCall(VecGetDM(locC, &dmC));
2065: PetscCall(VecSet(locC, 0.0));
2066: PetscCall(DMGetDimension(dm, &dim));
2067: PetscCall(DMGetCoordinateDim(dm, &coordDim));
2068: fegeom.dimEmbed = coordDim;
2069: PetscCall(DMGetNumFields(dm, &numFields));
2070: PetscCheck(numFields, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fields is zero!");
2071: for (field = 0; field < numFields; ++field) {
2072: PetscObject obj;
2073: PetscClassId id;
2074: PetscInt Nc;
2076: PetscCall(DMGetField(dm, field, NULL, &obj));
2077: PetscCall(PetscObjectGetClassId(obj, &id));
2078: if (id == PETSCFE_CLASSID) {
2079: PetscFE fe = (PetscFE)obj;
2081: PetscCall(PetscFEGetQuadrature(fe, &quad));
2082: PetscCall(PetscFEGetNumComponents(fe, &Nc));
2083: } else if (id == PETSCFV_CLASSID) {
2084: PetscFV fv = (PetscFV)obj;
2086: PetscCall(PetscFVGetQuadrature(fv, &quad));
2087: PetscCall(PetscFVGetNumComponents(fv, &Nc));
2088: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
2089: numComponents += Nc;
2090: }
2091: PetscCall(PetscQuadratureGetData(quad, NULL, &qNc, &Nq, &quadPoints, &quadWeights));
2092: PetscCheck(!(qNc != 1) || !(qNc != numComponents), PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_SIZ, "Quadrature components %" PetscInt_FMT " != %" PetscInt_FMT " field components", qNc, numComponents);
2093: PetscCall(PetscMalloc6(coordDim * numComponents * 2, &gradsum, coordDim * numComponents, &interpolant, coordDim * Nq, &coords, Nq, &fegeom.detJ, coordDim * coordDim * Nq, &fegeom.J, coordDim * coordDim * Nq, &fegeom.invJ));
2094: PetscCall(DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd));
2095: PetscCall(DMPlexGetSimplexOrBoxCells(dm, 0, &cStart, &cEnd));
2096: for (v = vStart; v < vEnd; ++v) {
2097: PetscScalar volsum = 0.0;
2098: PetscInt *star = NULL;
2099: PetscInt starSize, st, d, fc;
2101: PetscCall(PetscArrayzero(gradsum, coordDim * numComponents));
2102: PetscCall(DMPlexGetTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star));
2103: for (st = 0; st < starSize * 2; st += 2) {
2104: const PetscInt cell = star[st];
2105: PetscScalar *grad = &gradsum[coordDim * numComponents];
2106: PetscScalar *x = NULL;
2107: PetscReal vol = 0.0;
2109: if ((cell < cStart) || (cell >= cEnd)) continue;
2110: PetscCall(DMPlexComputeCellGeometryFEM(dm, cell, quad, coords, fegeom.J, fegeom.invJ, fegeom.detJ));
2111: PetscCall(DMPlexVecGetClosure(dm, NULL, locX, cell, NULL, &x));
2112: for (field = 0, fieldOffset = 0; field < numFields; ++field) {
2113: PetscObject obj;
2114: PetscClassId id;
2115: PetscInt Nb, Nc, q, qc = 0;
2117: PetscCall(PetscArrayzero(grad, coordDim * numComponents));
2118: PetscCall(DMGetField(dm, field, NULL, &obj));
2119: PetscCall(PetscObjectGetClassId(obj, &id));
2120: if (id == PETSCFE_CLASSID) {
2121: PetscCall(PetscFEGetNumComponents((PetscFE)obj, &Nc));
2122: PetscCall(PetscFEGetDimension((PetscFE)obj, &Nb));
2123: } else if (id == PETSCFV_CLASSID) {
2124: PetscCall(PetscFVGetNumComponents((PetscFV)obj, &Nc));
2125: Nb = 1;
2126: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
2127: for (q = 0; q < Nq; ++q) {
2128: PetscFEGeom qgeom;
2130: qgeom.dimEmbed = fegeom.dimEmbed;
2131: qgeom.J = &fegeom.J[q * coordDim * coordDim];
2132: qgeom.invJ = &fegeom.invJ[q * coordDim * coordDim];
2133: qgeom.detJ = &fegeom.detJ[q];
2134: PetscCheck(fegeom.detJ[q] > 0.0, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Invalid determinant %g for element %" PetscInt_FMT ", quadrature points %" PetscInt_FMT, (double)fegeom.detJ[q], cell, q);
2135: if (id == PETSCFE_CLASSID) PetscCall(PetscFEInterpolateGradient_Static((PetscFE)obj, 1, &x[fieldOffset], &qgeom, q, interpolant));
2136: else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
2137: for (fc = 0; fc < Nc; ++fc) {
2138: const PetscReal wt = quadWeights[q * qNc + qc];
2140: for (d = 0; d < coordDim; ++d) grad[fc * coordDim + d] += interpolant[fc * dim + d] * wt * fegeom.detJ[q];
2141: }
2142: vol += quadWeights[q * qNc] * fegeom.detJ[q];
2143: }
2144: fieldOffset += Nb;
2145: qc += Nc;
2146: }
2147: PetscCall(DMPlexVecRestoreClosure(dm, NULL, locX, cell, NULL, &x));
2148: for (fc = 0; fc < numComponents; ++fc) {
2149: for (d = 0; d < coordDim; ++d) gradsum[fc * coordDim + d] += grad[fc * coordDim + d];
2150: }
2151: volsum += vol;
2152: if (debug) {
2153: PetscCall(PetscPrintf(PETSC_COMM_SELF, "Vertex %" PetscInt_FMT " Cell %" PetscInt_FMT " gradient: [", v, cell));
2154: for (fc = 0; fc < numComponents; ++fc) {
2155: for (d = 0; d < coordDim; ++d) {
2156: if (fc || d > 0) PetscCall(PetscPrintf(PETSC_COMM_SELF, ", "));
2157: PetscCall(PetscPrintf(PETSC_COMM_SELF, "%g", (double)PetscRealPart(grad[fc * coordDim + d])));
2158: }
2159: }
2160: PetscCall(PetscPrintf(PETSC_COMM_SELF, "]\n"));
2161: }
2162: }
2163: for (fc = 0; fc < numComponents; ++fc) {
2164: for (d = 0; d < coordDim; ++d) gradsum[fc * coordDim + d] /= volsum;
2165: }
2166: PetscCall(DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &starSize, &star));
2167: PetscCall(DMPlexVecSetClosure(dmC, NULL, locC, v, gradsum, INSERT_VALUES));
2168: }
2169: PetscCall(PetscFree6(gradsum, interpolant, coords, fegeom.detJ, fegeom.J, fegeom.invJ));
2170: PetscFunctionReturn(PETSC_SUCCESS);
2171: }
2173: PetscErrorCode DMPlexComputeIntegral_Internal(DM dm, Vec locX, PetscInt cStart, PetscInt cEnd, PetscScalar *cintegral, void *user)
2174: {
2175: DM dmAux = NULL, plexA = NULL;
2176: PetscDS prob, probAux = NULL;
2177: PetscSection section, sectionAux;
2178: Vec locA;
2179: PetscInt dim, numCells = cEnd - cStart, c, f;
2180: PetscBool useFVM = PETSC_FALSE;
2181: /* DS */
2182: PetscInt Nf, totDim, *uOff, *uOff_x, numConstants;
2183: PetscInt NfAux, totDimAux, *aOff;
2184: PetscScalar *u, *a = NULL;
2185: const PetscScalar *constants;
2186: /* Geometry */
2187: PetscFEGeom *cgeomFEM;
2188: DM dmGrad;
2189: PetscQuadrature affineQuad = NULL;
2190: Vec cellGeometryFVM = NULL, faceGeometryFVM = NULL, locGrad = NULL;
2191: PetscFVCellGeom *cgeomFVM;
2192: const PetscScalar *lgrad;
2193: PetscInt maxDegree;
2194: DMField coordField;
2195: IS cellIS;
2197: PetscFunctionBegin;
2198: PetscCall(DMGetDS(dm, &prob));
2199: PetscCall(DMGetDimension(dm, &dim));
2200: PetscCall(DMGetLocalSection(dm, §ion));
2201: PetscCall(DMGetNumFields(dm, &Nf));
2202: /* Determine which discretizations we have */
2203: for (f = 0; f < Nf; ++f) {
2204: PetscObject obj;
2205: PetscClassId id;
2207: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
2208: PetscCall(PetscObjectGetClassId(obj, &id));
2209: if (id == PETSCFV_CLASSID) useFVM = PETSC_TRUE;
2210: }
2211: /* Read DS information */
2212: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
2213: PetscCall(PetscDSGetComponentOffsets(prob, &uOff));
2214: PetscCall(PetscDSGetComponentDerivativeOffsets(prob, &uOff_x));
2215: PetscCall(ISCreateStride(PETSC_COMM_SELF, numCells, cStart, 1, &cellIS));
2216: PetscCall(PetscDSGetConstants(prob, &numConstants, &constants));
2217: /* Read Auxiliary DS information */
2218: PetscCall(DMGetAuxiliaryVec(dm, NULL, 0, 0, &locA));
2219: if (locA) {
2220: PetscCall(VecGetDM(locA, &dmAux));
2221: PetscCall(DMConvert(dmAux, DMPLEX, &plexA));
2222: PetscCall(DMGetDS(dmAux, &probAux));
2223: PetscCall(PetscDSGetNumFields(probAux, &NfAux));
2224: PetscCall(DMGetLocalSection(dmAux, §ionAux));
2225: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
2226: PetscCall(PetscDSGetComponentOffsets(probAux, &aOff));
2227: }
2228: /* Allocate data arrays */
2229: PetscCall(PetscCalloc1(numCells * totDim, &u));
2230: if (dmAux) PetscCall(PetscMalloc1(numCells * totDimAux, &a));
2231: /* Read out geometry */
2232: PetscCall(DMGetCoordinateField(dm, &coordField));
2233: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
2234: if (maxDegree <= 1) {
2235: PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, &affineQuad));
2236: if (affineQuad) PetscCall(DMFieldCreateFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &cgeomFEM));
2237: }
2238: if (useFVM) {
2239: PetscFV fv = NULL;
2240: Vec grad;
2241: PetscInt fStart, fEnd;
2242: PetscBool compGrad;
2244: for (f = 0; f < Nf; ++f) {
2245: PetscObject obj;
2246: PetscClassId id;
2248: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
2249: PetscCall(PetscObjectGetClassId(obj, &id));
2250: if (id == PETSCFV_CLASSID) {
2251: fv = (PetscFV)obj;
2252: break;
2253: }
2254: }
2255: PetscCall(PetscFVGetComputeGradients(fv, &compGrad));
2256: PetscCall(PetscFVSetComputeGradients(fv, PETSC_TRUE));
2257: PetscCall(DMPlexComputeGeometryFVM(dm, &cellGeometryFVM, &faceGeometryFVM));
2258: PetscCall(DMPlexComputeGradientFVM(dm, fv, faceGeometryFVM, cellGeometryFVM, &dmGrad));
2259: PetscCall(PetscFVSetComputeGradients(fv, compGrad));
2260: PetscCall(VecGetArrayRead(cellGeometryFVM, (const PetscScalar **)&cgeomFVM));
2261: /* Reconstruct and limit cell gradients */
2262: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
2263: PetscCall(DMGetGlobalVector(dmGrad, &grad));
2264: PetscCall(DMPlexReconstructGradients_Internal(dm, fv, fStart, fEnd, faceGeometryFVM, cellGeometryFVM, locX, grad));
2265: /* Communicate gradient values */
2266: PetscCall(DMGetLocalVector(dmGrad, &locGrad));
2267: PetscCall(DMGlobalToLocalBegin(dmGrad, grad, INSERT_VALUES, locGrad));
2268: PetscCall(DMGlobalToLocalEnd(dmGrad, grad, INSERT_VALUES, locGrad));
2269: PetscCall(DMRestoreGlobalVector(dmGrad, &grad));
2270: /* Handle non-essential (e.g. outflow) boundary values */
2271: PetscCall(DMPlexInsertBoundaryValues(dm, PETSC_FALSE, locX, 0.0, faceGeometryFVM, cellGeometryFVM, locGrad));
2272: PetscCall(VecGetArrayRead(locGrad, &lgrad));
2273: }
2274: /* Read out data from inputs */
2275: for (c = cStart; c < cEnd; ++c) {
2276: PetscScalar *x = NULL;
2277: PetscInt i;
2279: PetscCall(DMPlexVecGetClosure(dm, section, locX, c, NULL, &x));
2280: for (i = 0; i < totDim; ++i) u[c * totDim + i] = x[i];
2281: PetscCall(DMPlexVecRestoreClosure(dm, section, locX, c, NULL, &x));
2282: if (dmAux) {
2283: PetscCall(DMPlexVecGetClosure(plexA, sectionAux, locA, c, NULL, &x));
2284: for (i = 0; i < totDimAux; ++i) a[c * totDimAux + i] = x[i];
2285: PetscCall(DMPlexVecRestoreClosure(plexA, sectionAux, locA, c, NULL, &x));
2286: }
2287: }
2288: /* Do integration for each field */
2289: for (f = 0; f < Nf; ++f) {
2290: PetscObject obj;
2291: PetscClassId id;
2292: PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset;
2294: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
2295: PetscCall(PetscObjectGetClassId(obj, &id));
2296: if (id == PETSCFE_CLASSID) {
2297: PetscFE fe = (PetscFE)obj;
2298: PetscQuadrature q;
2299: PetscFEGeom *chunkGeom = NULL;
2300: PetscInt Nq, Nb;
2302: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
2303: PetscCall(PetscFEGetQuadrature(fe, &q));
2304: PetscCall(PetscQuadratureGetData(q, NULL, NULL, &Nq, NULL, NULL));
2305: PetscCall(PetscFEGetDimension(fe, &Nb));
2306: blockSize = Nb * Nq;
2307: batchSize = numBlocks * blockSize;
2308: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
2309: numChunks = numCells / (numBatches * batchSize);
2310: Ne = numChunks * numBatches * batchSize;
2311: Nr = numCells % (numBatches * batchSize);
2312: offset = numCells - Nr;
2313: if (!affineQuad) PetscCall(DMFieldCreateFEGeom(coordField, cellIS, q, PETSC_FALSE, &cgeomFEM));
2314: PetscCall(PetscFEGeomGetChunk(cgeomFEM, 0, offset, &chunkGeom));
2315: PetscCall(PetscFEIntegrate(prob, f, Ne, chunkGeom, u, probAux, a, cintegral));
2316: PetscCall(PetscFEGeomGetChunk(cgeomFEM, offset, numCells, &chunkGeom));
2317: PetscCall(PetscFEIntegrate(prob, f, Nr, chunkGeom, &u[offset * totDim], probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), &cintegral[offset * Nf]));
2318: PetscCall(PetscFEGeomRestoreChunk(cgeomFEM, offset, numCells, &chunkGeom));
2319: if (!affineQuad) PetscCall(PetscFEGeomDestroy(&cgeomFEM));
2320: } else if (id == PETSCFV_CLASSID) {
2321: PetscInt foff;
2322: PetscPointFunc obj_func;
2324: PetscCall(PetscDSGetObjective(prob, f, &obj_func));
2325: PetscCall(PetscDSGetFieldOffset(prob, f, &foff));
2326: if (obj_func) {
2327: for (c = 0; c < numCells; ++c) {
2328: PetscScalar *u_x;
2329: PetscScalar lint = 0.;
2331: PetscCall(DMPlexPointLocalRead(dmGrad, c, lgrad, &u_x));
2332: obj_func(dim, Nf, NfAux, uOff, uOff_x, &u[totDim * c + foff], NULL, u_x, aOff, NULL, &a[totDimAux * c], NULL, NULL, 0.0, cgeomFVM[c].centroid, numConstants, constants, &lint);
2333: cintegral[c * Nf + f] += PetscRealPart(lint) * cgeomFVM[c].volume;
2334: }
2335: }
2336: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, f);
2337: }
2338: /* Cleanup data arrays */
2339: if (useFVM) {
2340: PetscCall(VecRestoreArrayRead(locGrad, &lgrad));
2341: PetscCall(VecRestoreArrayRead(cellGeometryFVM, (const PetscScalar **)&cgeomFVM));
2342: PetscCall(DMRestoreLocalVector(dmGrad, &locGrad));
2343: PetscCall(VecDestroy(&faceGeometryFVM));
2344: PetscCall(VecDestroy(&cellGeometryFVM));
2345: PetscCall(DMDestroy(&dmGrad));
2346: }
2347: if (dmAux) PetscCall(PetscFree(a));
2348: PetscCall(DMDestroy(&plexA));
2349: PetscCall(PetscFree(u));
2350: /* Cleanup */
2351: if (affineQuad) PetscCall(PetscFEGeomDestroy(&cgeomFEM));
2352: PetscCall(PetscQuadratureDestroy(&affineQuad));
2353: PetscCall(ISDestroy(&cellIS));
2354: PetscFunctionReturn(PETSC_SUCCESS);
2355: }
2357: /*@
2358: DMPlexComputeIntegralFEM - Form the integral over the domain from the global input X using pointwise functions specified by the user
2360: Input Parameters:
2361: + dm - The mesh
2362: . X - Global input vector
2363: - user - The user context
2365: Output Parameter:
2366: . integral - Integral for each field
2368: Level: developer
2370: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexSNESComputeResidualFEM()`
2371: @*/
2372: PetscErrorCode DMPlexComputeIntegralFEM(DM dm, Vec X, PetscScalar *integral, void *user)
2373: {
2374: PetscInt printFEM;
2375: PetscScalar *cintegral, *lintegral;
2376: PetscInt Nf, f, cellHeight, cStart, cEnd, cell;
2377: Vec locX;
2379: PetscFunctionBegin;
2382: PetscAssertPointer(integral, 3);
2383: PetscCall(PetscLogEventBegin(DMPLEX_IntegralFEM, dm, 0, 0, 0));
2384: PetscCall(DMPlexConvertPlex(dm, &dm, PETSC_TRUE));
2385: PetscCall(DMGetNumFields(dm, &Nf));
2386: PetscCall(DMPlexGetVTKCellHeight(dm, &cellHeight));
2387: PetscCall(DMPlexGetSimplexOrBoxCells(dm, cellHeight, &cStart, &cEnd));
2388: /* TODO Introduce a loop over large chunks (right now this is a single chunk) */
2389: PetscCall(PetscCalloc2(Nf, &lintegral, (cEnd - cStart) * Nf, &cintegral));
2390: /* Get local solution with boundary values */
2391: PetscCall(DMGetLocalVector(dm, &locX));
2392: PetscCall(DMPlexInsertBoundaryValues(dm, PETSC_TRUE, locX, 0.0, NULL, NULL, NULL));
2393: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, locX));
2394: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, locX));
2395: PetscCall(DMPlexComputeIntegral_Internal(dm, locX, cStart, cEnd, cintegral, user));
2396: PetscCall(DMRestoreLocalVector(dm, &locX));
2397: printFEM = ((DM_Plex *)dm->data)->printFEM;
2398: /* Sum up values */
2399: for (cell = cStart; cell < cEnd; ++cell) {
2400: const PetscInt c = cell - cStart;
2402: if (printFEM > 1) PetscCall(DMPrintCellVector(cell, "Cell Integral", Nf, &cintegral[c * Nf]));
2403: for (f = 0; f < Nf; ++f) lintegral[f] += cintegral[c * Nf + f];
2404: }
2405: PetscCall(MPIU_Allreduce(lintegral, integral, Nf, MPIU_SCALAR, MPIU_SUM, PetscObjectComm((PetscObject)dm)));
2406: if (printFEM) {
2407: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)dm), "Integral:"));
2408: for (f = 0; f < Nf; ++f) PetscCall(PetscPrintf(PetscObjectComm((PetscObject)dm), " %g", (double)PetscRealPart(integral[f])));
2409: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)dm), "\n"));
2410: }
2411: PetscCall(PetscFree2(lintegral, cintegral));
2412: PetscCall(PetscLogEventEnd(DMPLEX_IntegralFEM, dm, 0, 0, 0));
2413: PetscCall(DMDestroy(&dm));
2414: PetscFunctionReturn(PETSC_SUCCESS);
2415: }
2417: /*@
2418: DMPlexComputeCellwiseIntegralFEM - Form the vector of cellwise integrals F from the global input X using pointwise functions specified by the user
2420: Input Parameters:
2421: + dm - The mesh
2422: . X - Global input vector
2423: - user - The user context
2425: Output Parameter:
2426: . F - Cellwise integrals for each field
2428: Level: developer
2430: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexSNESComputeResidualFEM()`
2431: @*/
2432: PetscErrorCode DMPlexComputeCellwiseIntegralFEM(DM dm, Vec X, Vec F, void *user)
2433: {
2434: PetscInt printFEM;
2435: DM dmF;
2436: PetscSection sectionF = NULL;
2437: PetscScalar *cintegral, *af;
2438: PetscInt Nf, f, cellHeight, cStart, cEnd, cell, n;
2439: Vec locX;
2441: PetscFunctionBegin;
2445: PetscCall(PetscLogEventBegin(DMPLEX_IntegralFEM, dm, 0, 0, 0));
2446: PetscCall(DMPlexConvertPlex(dm, &dm, PETSC_TRUE));
2447: PetscCall(DMGetNumFields(dm, &Nf));
2448: PetscCall(DMPlexGetVTKCellHeight(dm, &cellHeight));
2449: PetscCall(DMPlexGetSimplexOrBoxCells(dm, cellHeight, &cStart, &cEnd));
2450: /* TODO Introduce a loop over large chunks (right now this is a single chunk) */
2451: PetscCall(PetscCalloc1((cEnd - cStart) * Nf, &cintegral));
2452: /* Get local solution with boundary values */
2453: PetscCall(DMGetLocalVector(dm, &locX));
2454: PetscCall(DMPlexInsertBoundaryValues(dm, PETSC_TRUE, locX, 0.0, NULL, NULL, NULL));
2455: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, locX));
2456: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, locX));
2457: PetscCall(DMPlexComputeIntegral_Internal(dm, locX, cStart, cEnd, cintegral, user));
2458: PetscCall(DMRestoreLocalVector(dm, &locX));
2459: /* Put values in F */
2460: PetscCall(VecGetArray(F, &af));
2461: PetscCall(VecGetDM(F, &dmF));
2462: if (dmF) PetscCall(DMGetLocalSection(dmF, §ionF));
2463: PetscCall(VecGetLocalSize(F, &n));
2464: PetscCheck(n >= (cEnd - cStart) * Nf, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Vector size %" PetscInt_FMT " < %" PetscInt_FMT, n, (cEnd - cStart) * Nf);
2465: printFEM = ((DM_Plex *)dm->data)->printFEM;
2466: for (cell = cStart; cell < cEnd; ++cell) {
2467: const PetscInt c = cell - cStart;
2468: PetscInt dof = Nf, off = c * Nf;
2470: if (printFEM > 1) PetscCall(DMPrintCellVector(cell, "Cell Integral", Nf, &cintegral[c * Nf]));
2471: if (sectionF) {
2472: PetscCall(PetscSectionGetDof(sectionF, cell, &dof));
2473: PetscCall(PetscSectionGetOffset(sectionF, cell, &off));
2474: }
2475: PetscCheck(dof == Nf, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "The number of cell dofs %" PetscInt_FMT " != %" PetscInt_FMT, dof, Nf);
2476: for (f = 0; f < Nf; ++f) af[off + f] = cintegral[c * Nf + f];
2477: }
2478: PetscCall(VecRestoreArray(F, &af));
2479: PetscCall(PetscFree(cintegral));
2480: PetscCall(PetscLogEventEnd(DMPLEX_IntegralFEM, dm, 0, 0, 0));
2481: PetscCall(DMDestroy(&dm));
2482: PetscFunctionReturn(PETSC_SUCCESS);
2483: }
2485: static PetscErrorCode DMPlexComputeBdIntegral_Internal(DM dm, Vec locX, IS pointIS, void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), PetscScalar *fintegral, void *user)
2486: {
2487: DM plex = NULL, plexA = NULL;
2488: DMEnclosureType encAux;
2489: PetscDS prob, probAux = NULL;
2490: PetscSection section, sectionAux = NULL;
2491: Vec locA = NULL;
2492: DMField coordField;
2493: PetscInt Nf, totDim, *uOff, *uOff_x;
2494: PetscInt NfAux = 0, totDimAux = 0, *aOff = NULL;
2495: PetscScalar *u, *a = NULL;
2496: const PetscScalar *constants;
2497: PetscInt numConstants, f;
2499: PetscFunctionBegin;
2500: PetscCall(DMGetCoordinateField(dm, &coordField));
2501: PetscCall(DMConvert(dm, DMPLEX, &plex));
2502: PetscCall(DMGetDS(dm, &prob));
2503: PetscCall(DMGetLocalSection(dm, §ion));
2504: PetscCall(PetscSectionGetNumFields(section, &Nf));
2505: /* Determine which discretizations we have */
2506: for (f = 0; f < Nf; ++f) {
2507: PetscObject obj;
2508: PetscClassId id;
2510: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
2511: PetscCall(PetscObjectGetClassId(obj, &id));
2512: PetscCheck(id != PETSCFV_CLASSID, PetscObjectComm((PetscObject)dm), PETSC_ERR_SUP, "Not supported for FVM (field %" PetscInt_FMT ")", f);
2513: }
2514: /* Read DS information */
2515: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
2516: PetscCall(PetscDSGetComponentOffsets(prob, &uOff));
2517: PetscCall(PetscDSGetComponentDerivativeOffsets(prob, &uOff_x));
2518: PetscCall(PetscDSGetConstants(prob, &numConstants, &constants));
2519: /* Read Auxiliary DS information */
2520: PetscCall(DMGetAuxiliaryVec(dm, NULL, 0, 0, &locA));
2521: if (locA) {
2522: DM dmAux;
2524: PetscCall(VecGetDM(locA, &dmAux));
2525: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
2526: PetscCall(DMConvert(dmAux, DMPLEX, &plexA));
2527: PetscCall(DMGetDS(dmAux, &probAux));
2528: PetscCall(PetscDSGetNumFields(probAux, &NfAux));
2529: PetscCall(DMGetLocalSection(dmAux, §ionAux));
2530: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
2531: PetscCall(PetscDSGetComponentOffsets(probAux, &aOff));
2532: }
2533: /* Integrate over points */
2534: {
2535: PetscFEGeom *fgeom, *chunkGeom = NULL;
2536: PetscInt maxDegree;
2537: PetscQuadrature qGeom = NULL;
2538: const PetscInt *points;
2539: PetscInt numFaces, face, Nq, field;
2540: PetscInt numChunks, chunkSize, chunk, Nr, offset;
2542: PetscCall(ISGetLocalSize(pointIS, &numFaces));
2543: PetscCall(ISGetIndices(pointIS, &points));
2544: PetscCall(PetscCalloc2(numFaces * totDim, &u, locA ? numFaces * totDimAux : 0, &a));
2545: PetscCall(DMFieldGetDegree(coordField, pointIS, NULL, &maxDegree));
2546: for (face = 0; face < numFaces; ++face) {
2547: const PetscInt point = points[face], *support;
2548: PetscScalar *x = NULL;
2550: PetscCall(DMPlexGetSupport(dm, point, &support));
2551: PetscCall(DMPlexVecGetClosure(plex, section, locX, support[0], NULL, &x));
2552: for (PetscInt i = 0; i < totDim; ++i) u[face * totDim + i] = x[i];
2553: PetscCall(DMPlexVecRestoreClosure(plex, section, locX, support[0], NULL, &x));
2554: if (locA) {
2555: PetscInt subp;
2556: PetscCall(DMGetEnclosurePoint(plexA, dm, encAux, support[0], &subp));
2557: PetscCall(DMPlexVecGetClosure(plexA, sectionAux, locA, subp, NULL, &x));
2558: for (PetscInt i = 0; i < totDimAux; ++i) a[f * totDimAux + i] = x[i];
2559: PetscCall(DMPlexVecRestoreClosure(plexA, sectionAux, locA, subp, NULL, &x));
2560: }
2561: }
2562: for (field = 0; field < Nf; ++field) {
2563: PetscFE fe;
2565: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&fe));
2566: if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, pointIS, &qGeom));
2567: if (!qGeom) {
2568: PetscCall(PetscFEGetFaceQuadrature(fe, &qGeom));
2569: PetscCall(PetscObjectReference((PetscObject)qGeom));
2570: }
2571: PetscCall(PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL));
2572: PetscCall(DMPlexGetFEGeom(coordField, pointIS, qGeom, PETSC_TRUE, &fgeom));
2573: /* Get blocking */
2574: {
2575: PetscQuadrature q;
2576: PetscInt numBatches, batchSize, numBlocks, blockSize;
2577: PetscInt Nq, Nb;
2579: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
2580: PetscCall(PetscFEGetQuadrature(fe, &q));
2581: PetscCall(PetscQuadratureGetData(q, NULL, NULL, &Nq, NULL, NULL));
2582: PetscCall(PetscFEGetDimension(fe, &Nb));
2583: blockSize = Nb * Nq;
2584: batchSize = numBlocks * blockSize;
2585: chunkSize = numBatches * batchSize;
2586: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
2587: numChunks = numFaces / chunkSize;
2588: Nr = numFaces % chunkSize;
2589: offset = numFaces - Nr;
2590: }
2591: /* Do integration for each field */
2592: for (chunk = 0; chunk < numChunks; ++chunk) {
2593: PetscCall(PetscFEGeomGetChunk(fgeom, chunk * chunkSize, (chunk + 1) * chunkSize, &chunkGeom));
2594: PetscCall(PetscFEIntegrateBd(prob, field, funcs[field], chunkSize, chunkGeom, &u[chunk * chunkSize * totDim], probAux, PetscSafePointerPlusOffset(a, chunk * chunkSize * totDimAux), &fintegral[chunk * chunkSize * Nf]));
2595: PetscCall(PetscFEGeomRestoreChunk(fgeom, 0, offset, &chunkGeom));
2596: }
2597: PetscCall(PetscFEGeomGetChunk(fgeom, offset, numFaces, &chunkGeom));
2598: PetscCall(PetscFEIntegrateBd(prob, field, funcs[field], Nr, chunkGeom, &u[offset * totDim], probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), &fintegral[offset * Nf]));
2599: PetscCall(PetscFEGeomRestoreChunk(fgeom, offset, numFaces, &chunkGeom));
2600: /* Cleanup data arrays */
2601: PetscCall(DMPlexRestoreFEGeom(coordField, pointIS, qGeom, PETSC_TRUE, &fgeom));
2602: PetscCall(PetscQuadratureDestroy(&qGeom));
2603: }
2604: PetscCall(PetscFree2(u, a));
2605: PetscCall(ISRestoreIndices(pointIS, &points));
2606: }
2607: if (plex) PetscCall(DMDestroy(&plex));
2608: if (plexA) PetscCall(DMDestroy(&plexA));
2609: PetscFunctionReturn(PETSC_SUCCESS);
2610: }
2612: /*@C
2613: DMPlexComputeBdIntegral - Form the integral over the specified boundary from the global input X using pointwise functions specified by the user
2615: Input Parameters:
2616: + dm - The mesh
2617: . X - Global input vector
2618: . label - The boundary `DMLabel`
2619: . numVals - The number of label values to use, or `PETSC_DETERMINE` for all values
2620: . vals - The label values to use, or NULL for all values
2621: . funcs - The functions to integrate along the boundary for each field
2622: - user - The user context
2624: Output Parameter:
2625: . integral - Integral for each field
2627: Level: developer
2629: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexComputeIntegralFEM()`, `DMPlexComputeBdResidualFEM()`
2630: @*/
2631: PetscErrorCode DMPlexComputeBdIntegral(DM dm, Vec X, DMLabel label, PetscInt numVals, const PetscInt vals[], void (**funcs)(PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], const PetscInt[], const PetscInt[], const PetscScalar[], const PetscScalar[], const PetscScalar[], PetscReal, const PetscReal[], const PetscReal[], PetscInt, const PetscScalar[], PetscScalar[]), PetscScalar *integral, void *user)
2632: {
2633: Vec locX;
2634: PetscSection section;
2635: DMLabel depthLabel;
2636: IS facetIS;
2637: PetscInt dim, Nf, f, v;
2639: PetscFunctionBegin;
2643: if (vals) PetscAssertPointer(vals, 5);
2644: PetscAssertPointer(integral, 7);
2645: PetscCall(PetscLogEventBegin(DMPLEX_IntegralFEM, dm, 0, 0, 0));
2646: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
2647: PetscCall(DMGetDimension(dm, &dim));
2648: PetscCall(DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS));
2649: PetscCall(DMGetLocalSection(dm, §ion));
2650: PetscCall(PetscSectionGetNumFields(section, &Nf));
2651: /* Get local solution with boundary values */
2652: PetscCall(DMGetLocalVector(dm, &locX));
2653: PetscCall(DMPlexInsertBoundaryValues(dm, PETSC_TRUE, locX, 0.0, NULL, NULL, NULL));
2654: PetscCall(DMGlobalToLocalBegin(dm, X, INSERT_VALUES, locX));
2655: PetscCall(DMGlobalToLocalEnd(dm, X, INSERT_VALUES, locX));
2656: /* Loop over label values */
2657: PetscCall(PetscArrayzero(integral, Nf));
2658: for (v = 0; v < numVals; ++v) {
2659: IS pointIS;
2660: PetscInt numFaces, face;
2661: PetscScalar *fintegral;
2663: PetscCall(DMLabelGetStratumIS(label, vals[v], &pointIS));
2664: if (!pointIS) continue; /* No points with that id on this process */
2665: {
2666: IS isectIS;
2668: /* TODO: Special cases of ISIntersect where it is quick to check a priori if one is a superset of the other */
2669: PetscCall(ISIntersect_Caching_Internal(facetIS, pointIS, &isectIS));
2670: PetscCall(ISDestroy(&pointIS));
2671: pointIS = isectIS;
2672: }
2673: PetscCall(ISGetLocalSize(pointIS, &numFaces));
2674: PetscCall(PetscCalloc1(numFaces * Nf, &fintegral));
2675: PetscCall(DMPlexComputeBdIntegral_Internal(dm, locX, pointIS, funcs, fintegral, user));
2676: /* Sum point contributions into integral */
2677: for (f = 0; f < Nf; ++f)
2678: for (face = 0; face < numFaces; ++face) integral[f] += fintegral[face * Nf + f];
2679: PetscCall(PetscFree(fintegral));
2680: PetscCall(ISDestroy(&pointIS));
2681: }
2682: PetscCall(DMRestoreLocalVector(dm, &locX));
2683: PetscCall(ISDestroy(&facetIS));
2684: PetscCall(PetscLogEventEnd(DMPLEX_IntegralFEM, dm, 0, 0, 0));
2685: PetscFunctionReturn(PETSC_SUCCESS);
2686: }
2688: /*@
2689: DMPlexComputeInterpolatorNested - Form the local portion of the interpolation matrix from the coarse `DM` to a uniformly refined `DM`.
2691: Input Parameters:
2692: + dmc - The coarse mesh
2693: . dmf - The fine mesh
2694: . isRefined - Flag indicating regular refinement, rather than the same topology
2695: - user - The user context
2697: Output Parameter:
2698: . In - The interpolation matrix
2700: Level: developer
2702: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexComputeInterpolatorGeneral()`, `DMPlexComputeJacobianFEM()`
2703: @*/
2704: PetscErrorCode DMPlexComputeInterpolatorNested(DM dmc, DM dmf, PetscBool isRefined, Mat In, void *user)
2705: {
2706: DM_Plex *mesh = (DM_Plex *)dmc->data;
2707: const char *name = "Interpolator";
2708: PetscFE *feRef;
2709: PetscFV *fvRef;
2710: PetscSection fsection, fglobalSection;
2711: PetscSection csection, cglobalSection;
2712: PetscScalar *elemMat;
2713: PetscInt dim, Nf, f, fieldI, fieldJ, offsetI, offsetJ, cStart, cEnd, c;
2714: PetscInt cTotDim = 0, rTotDim = 0;
2716: PetscFunctionBegin;
2717: PetscCall(PetscLogEventBegin(DMPLEX_InterpolatorFEM, dmc, dmf, 0, 0));
2718: PetscCall(DMGetDimension(dmf, &dim));
2719: PetscCall(DMGetLocalSection(dmf, &fsection));
2720: PetscCall(DMGetGlobalSection(dmf, &fglobalSection));
2721: PetscCall(DMGetLocalSection(dmc, &csection));
2722: PetscCall(DMGetGlobalSection(dmc, &cglobalSection));
2723: PetscCall(PetscSectionGetNumFields(fsection, &Nf));
2724: PetscCall(DMPlexGetSimplexOrBoxCells(dmc, 0, &cStart, &cEnd));
2725: PetscCall(PetscCalloc2(Nf, &feRef, Nf, &fvRef));
2726: for (f = 0; f < Nf; ++f) {
2727: PetscObject obj, objc;
2728: PetscClassId id, idc;
2729: PetscInt rNb = 0, Nc = 0, cNb = 0;
2731: PetscCall(DMGetField(dmf, f, NULL, &obj));
2732: PetscCall(PetscObjectGetClassId(obj, &id));
2733: if (id == PETSCFE_CLASSID) {
2734: PetscFE fe = (PetscFE)obj;
2736: if (isRefined) {
2737: PetscCall(PetscFERefine(fe, &feRef[f]));
2738: } else {
2739: PetscCall(PetscObjectReference((PetscObject)fe));
2740: feRef[f] = fe;
2741: }
2742: PetscCall(PetscFEGetDimension(feRef[f], &rNb));
2743: PetscCall(PetscFEGetNumComponents(fe, &Nc));
2744: } else if (id == PETSCFV_CLASSID) {
2745: PetscFV fv = (PetscFV)obj;
2746: PetscDualSpace Q;
2748: if (isRefined) {
2749: PetscCall(PetscFVRefine(fv, &fvRef[f]));
2750: } else {
2751: PetscCall(PetscObjectReference((PetscObject)fv));
2752: fvRef[f] = fv;
2753: }
2754: PetscCall(PetscFVGetDualSpace(fvRef[f], &Q));
2755: PetscCall(PetscDualSpaceGetDimension(Q, &rNb));
2756: PetscCall(PetscFVGetDualSpace(fv, &Q));
2757: PetscCall(PetscFVGetNumComponents(fv, &Nc));
2758: }
2759: PetscCall(DMGetField(dmc, f, NULL, &objc));
2760: PetscCall(PetscObjectGetClassId(objc, &idc));
2761: if (idc == PETSCFE_CLASSID) {
2762: PetscFE fe = (PetscFE)objc;
2764: PetscCall(PetscFEGetDimension(fe, &cNb));
2765: } else if (id == PETSCFV_CLASSID) {
2766: PetscFV fv = (PetscFV)obj;
2767: PetscDualSpace Q;
2769: PetscCall(PetscFVGetDualSpace(fv, &Q));
2770: PetscCall(PetscDualSpaceGetDimension(Q, &cNb));
2771: }
2772: rTotDim += rNb;
2773: cTotDim += cNb;
2774: }
2775: PetscCall(PetscMalloc1(rTotDim * cTotDim, &elemMat));
2776: PetscCall(PetscArrayzero(elemMat, rTotDim * cTotDim));
2777: for (fieldI = 0, offsetI = 0; fieldI < Nf; ++fieldI) {
2778: PetscDualSpace Qref;
2779: PetscQuadrature f;
2780: const PetscReal *qpoints, *qweights;
2781: PetscReal *points;
2782: PetscInt npoints = 0, Nc, Np, fpdim, i, k, p, d;
2784: /* Compose points from all dual basis functionals */
2785: if (feRef[fieldI]) {
2786: PetscCall(PetscFEGetDualSpace(feRef[fieldI], &Qref));
2787: PetscCall(PetscFEGetNumComponents(feRef[fieldI], &Nc));
2788: } else {
2789: PetscCall(PetscFVGetDualSpace(fvRef[fieldI], &Qref));
2790: PetscCall(PetscFVGetNumComponents(fvRef[fieldI], &Nc));
2791: }
2792: PetscCall(PetscDualSpaceGetDimension(Qref, &fpdim));
2793: for (i = 0; i < fpdim; ++i) {
2794: PetscCall(PetscDualSpaceGetFunctional(Qref, i, &f));
2795: PetscCall(PetscQuadratureGetData(f, NULL, NULL, &Np, NULL, NULL));
2796: npoints += Np;
2797: }
2798: PetscCall(PetscMalloc1(npoints * dim, &points));
2799: for (i = 0, k = 0; i < fpdim; ++i) {
2800: PetscCall(PetscDualSpaceGetFunctional(Qref, i, &f));
2801: PetscCall(PetscQuadratureGetData(f, NULL, NULL, &Np, &qpoints, NULL));
2802: for (p = 0; p < Np; ++p, ++k)
2803: for (d = 0; d < dim; ++d) points[k * dim + d] = qpoints[p * dim + d];
2804: }
2806: for (fieldJ = 0, offsetJ = 0; fieldJ < Nf; ++fieldJ) {
2807: PetscObject obj;
2808: PetscClassId id;
2809: PetscInt NcJ = 0, cpdim = 0, j, qNc;
2811: PetscCall(DMGetField(dmc, fieldJ, NULL, &obj));
2812: PetscCall(PetscObjectGetClassId(obj, &id));
2813: if (id == PETSCFE_CLASSID) {
2814: PetscFE fe = (PetscFE)obj;
2815: PetscTabulation T = NULL;
2817: /* Evaluate basis at points */
2818: PetscCall(PetscFEGetNumComponents(fe, &NcJ));
2819: PetscCall(PetscFEGetDimension(fe, &cpdim));
2820: /* For now, fields only interpolate themselves */
2821: if (fieldI == fieldJ) {
2822: PetscCheck(Nc == NcJ, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in fine space field %" PetscInt_FMT " does not match coarse field %" PetscInt_FMT, Nc, NcJ);
2823: PetscCall(PetscFECreateTabulation(fe, 1, npoints, points, 0, &T));
2824: for (i = 0, k = 0; i < fpdim; ++i) {
2825: PetscCall(PetscDualSpaceGetFunctional(Qref, i, &f));
2826: PetscCall(PetscQuadratureGetData(f, NULL, &qNc, &Np, NULL, &qweights));
2827: PetscCheck(qNc == NcJ, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in quadrature %" PetscInt_FMT " does not match coarse field %" PetscInt_FMT, qNc, NcJ);
2828: for (p = 0; p < Np; ++p, ++k) {
2829: for (j = 0; j < cpdim; ++j) {
2830: /*
2831: cTotDim: Total columns in element interpolation matrix, sum of number of dual basis functionals in each field
2832: offsetI, offsetJ: Offsets into the larger element interpolation matrix for different fields
2833: fpdim, i, cpdim, j: Dofs for fine and coarse grids, correspond to dual space basis functionals
2834: qNC, Nc, Ncj, c: Number of components in this field
2835: Np, p: Number of quad points in the fine grid functional i
2836: k: i*Np + p, overall point number for the interpolation
2837: */
2838: for (c = 0; c < Nc; ++c) elemMat[(offsetI + i) * cTotDim + offsetJ + j] += T->T[0][k * cpdim * NcJ + j * Nc + c] * qweights[p * qNc + c];
2839: }
2840: }
2841: }
2842: PetscCall(PetscTabulationDestroy(&T));
2843: }
2844: } else if (id == PETSCFV_CLASSID) {
2845: PetscFV fv = (PetscFV)obj;
2847: /* Evaluate constant function at points */
2848: PetscCall(PetscFVGetNumComponents(fv, &NcJ));
2849: cpdim = 1;
2850: /* For now, fields only interpolate themselves */
2851: if (fieldI == fieldJ) {
2852: PetscCheck(Nc == NcJ, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in fine space field %" PetscInt_FMT " does not match coarse field %" PetscInt_FMT, Nc, NcJ);
2853: for (i = 0, k = 0; i < fpdim; ++i) {
2854: PetscCall(PetscDualSpaceGetFunctional(Qref, i, &f));
2855: PetscCall(PetscQuadratureGetData(f, NULL, &qNc, &Np, NULL, &qweights));
2856: PetscCheck(qNc == NcJ, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in quadrature %" PetscInt_FMT " does not match coarse field %" PetscInt_FMT, qNc, NcJ);
2857: for (p = 0; p < Np; ++p, ++k) {
2858: for (j = 0; j < cpdim; ++j) {
2859: for (c = 0; c < Nc; ++c) elemMat[(offsetI + i) * cTotDim + offsetJ + j] += 1.0 * qweights[p * qNc + c];
2860: }
2861: }
2862: }
2863: }
2864: }
2865: offsetJ += cpdim;
2866: }
2867: offsetI += fpdim;
2868: PetscCall(PetscFree(points));
2869: }
2870: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(0, name, rTotDim, cTotDim, elemMat));
2871: /* Preallocate matrix */
2872: {
2873: Mat preallocator;
2874: PetscScalar *vals;
2875: PetscInt *cellCIndices, *cellFIndices;
2876: PetscInt locRows, locCols, cell;
2878: PetscCall(MatGetLocalSize(In, &locRows, &locCols));
2879: PetscCall(MatCreate(PetscObjectComm((PetscObject)In), &preallocator));
2880: PetscCall(MatSetType(preallocator, MATPREALLOCATOR));
2881: PetscCall(MatSetSizes(preallocator, locRows, locCols, PETSC_DETERMINE, PETSC_DETERMINE));
2882: PetscCall(MatSetUp(preallocator));
2883: PetscCall(PetscCalloc3(rTotDim * cTotDim, &vals, cTotDim, &cellCIndices, rTotDim, &cellFIndices));
2884: for (cell = cStart; cell < cEnd; ++cell) {
2885: if (isRefined) {
2886: PetscCall(DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, cell, cellCIndices, cellFIndices));
2887: PetscCall(MatSetValues(preallocator, rTotDim, cellFIndices, cTotDim, cellCIndices, vals, INSERT_VALUES));
2888: } else {
2889: PetscCall(DMPlexMatSetClosureGeneral(dmf, fsection, fglobalSection, PETSC_FALSE, dmc, csection, cglobalSection, PETSC_FALSE, preallocator, cell, vals, INSERT_VALUES));
2890: }
2891: }
2892: PetscCall(PetscFree3(vals, cellCIndices, cellFIndices));
2893: PetscCall(MatAssemblyBegin(preallocator, MAT_FINAL_ASSEMBLY));
2894: PetscCall(MatAssemblyEnd(preallocator, MAT_FINAL_ASSEMBLY));
2895: PetscCall(MatPreallocatorPreallocate(preallocator, PETSC_TRUE, In));
2896: PetscCall(MatDestroy(&preallocator));
2897: }
2898: /* Fill matrix */
2899: PetscCall(MatZeroEntries(In));
2900: for (c = cStart; c < cEnd; ++c) {
2901: if (isRefined) {
2902: PetscCall(DMPlexMatSetClosureRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, In, c, elemMat, INSERT_VALUES));
2903: } else {
2904: PetscCall(DMPlexMatSetClosureGeneral(dmf, fsection, fglobalSection, PETSC_FALSE, dmc, csection, cglobalSection, PETSC_FALSE, In, c, elemMat, INSERT_VALUES));
2905: }
2906: }
2907: for (f = 0; f < Nf; ++f) PetscCall(PetscFEDestroy(&feRef[f]));
2908: PetscCall(PetscFree2(feRef, fvRef));
2909: PetscCall(PetscFree(elemMat));
2910: PetscCall(MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY));
2911: PetscCall(MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY));
2912: if (mesh->printFEM > 1) {
2913: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)In), "%s:\n", name));
2914: PetscCall(MatFilter(In, 1.0e-10, PETSC_FALSE, PETSC_FALSE));
2915: PetscCall(MatView(In, NULL));
2916: }
2917: PetscCall(PetscLogEventEnd(DMPLEX_InterpolatorFEM, dmc, dmf, 0, 0));
2918: PetscFunctionReturn(PETSC_SUCCESS);
2919: }
2921: PetscErrorCode DMPlexComputeMassMatrixNested(DM dmc, DM dmf, Mat mass, void *user)
2922: {
2923: SETERRQ(PetscObjectComm((PetscObject)dmc), PETSC_ERR_SUP, "Laziness");
2924: }
2926: /*@
2927: DMPlexComputeInterpolatorGeneral - Form the local portion of the interpolation matrix from the coarse `DM` to a non-nested fine `DM`.
2929: Input Parameters:
2930: + dmf - The fine mesh
2931: . dmc - The coarse mesh
2932: - user - The user context
2934: Output Parameter:
2935: . In - The interpolation matrix
2937: Level: developer
2939: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexComputeInterpolatorNested()`, `DMPlexComputeJacobianFEM()`
2940: @*/
2941: PetscErrorCode DMPlexComputeInterpolatorGeneral(DM dmc, DM dmf, Mat In, void *user)
2942: {
2943: DM_Plex *mesh = (DM_Plex *)dmf->data;
2944: const char *name = "Interpolator";
2945: PetscDS prob;
2946: Mat interp;
2947: PetscSection fsection, globalFSection;
2948: PetscSection csection, globalCSection;
2949: PetscInt locRows, locCols;
2950: PetscReal *x, *v0, *J, *invJ, detJ;
2951: PetscReal *v0c, *Jc, *invJc, detJc;
2952: PetscScalar *elemMat;
2953: PetscInt dim, Nf, field, totDim, cStart, cEnd, cell, ccell, s;
2955: PetscFunctionBegin;
2956: PetscCall(PetscLogEventBegin(DMPLEX_InterpolatorFEM, dmc, dmf, 0, 0));
2957: PetscCall(DMGetCoordinateDim(dmc, &dim));
2958: PetscCall(DMGetDS(dmc, &prob));
2959: PetscCall(PetscDSGetWorkspace(prob, &x, NULL, NULL, NULL, NULL));
2960: PetscCall(PetscDSGetNumFields(prob, &Nf));
2961: PetscCall(PetscMalloc3(dim, &v0, dim * dim, &J, dim * dim, &invJ));
2962: PetscCall(PetscMalloc3(dim, &v0c, dim * dim, &Jc, dim * dim, &invJc));
2963: PetscCall(DMGetLocalSection(dmf, &fsection));
2964: PetscCall(DMGetGlobalSection(dmf, &globalFSection));
2965: PetscCall(DMGetLocalSection(dmc, &csection));
2966: PetscCall(DMGetGlobalSection(dmc, &globalCSection));
2967: PetscCall(DMPlexGetSimplexOrBoxCells(dmf, 0, &cStart, &cEnd));
2968: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
2969: PetscCall(PetscMalloc1(totDim, &elemMat));
2971: PetscCall(MatGetLocalSize(In, &locRows, &locCols));
2972: PetscCall(MatCreate(PetscObjectComm((PetscObject)In), &interp));
2973: PetscCall(MatSetType(interp, MATPREALLOCATOR));
2974: PetscCall(MatSetSizes(interp, locRows, locCols, PETSC_DETERMINE, PETSC_DETERMINE));
2975: PetscCall(MatSetUp(interp));
2976: for (s = 0; s < 2; ++s) {
2977: for (field = 0; field < Nf; ++field) {
2978: PetscObject obj;
2979: PetscClassId id;
2980: PetscDualSpace Q = NULL;
2981: PetscTabulation T = NULL;
2982: PetscQuadrature f;
2983: const PetscReal *qpoints, *qweights;
2984: PetscInt Nc, qNc, Np, fpdim, off, i, d;
2986: PetscCall(PetscDSGetFieldOffset(prob, field, &off));
2987: PetscCall(PetscDSGetDiscretization(prob, field, &obj));
2988: PetscCall(PetscObjectGetClassId(obj, &id));
2989: if (id == PETSCFE_CLASSID) {
2990: PetscFE fe = (PetscFE)obj;
2992: PetscCall(PetscFEGetDualSpace(fe, &Q));
2993: PetscCall(PetscFEGetNumComponents(fe, &Nc));
2994: if (s) PetscCall(PetscFECreateTabulation(fe, 1, 1, x, 0, &T));
2995: } else if (id == PETSCFV_CLASSID) {
2996: PetscFV fv = (PetscFV)obj;
2998: PetscCall(PetscFVGetDualSpace(fv, &Q));
2999: Nc = 1;
3000: } else SETERRQ(PetscObjectComm((PetscObject)dmc), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, field);
3001: PetscCall(PetscDualSpaceGetDimension(Q, &fpdim));
3002: /* For each fine grid cell */
3003: for (cell = cStart; cell < cEnd; ++cell) {
3004: PetscInt *findices, *cindices;
3005: PetscInt numFIndices, numCIndices;
3007: PetscCall(DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, PETSC_FALSE, &numFIndices, &findices, NULL, NULL));
3008: PetscCall(DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ));
3009: PetscCheck(numFIndices == totDim, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of fine indices %" PetscInt_FMT " != %" PetscInt_FMT " dual basis vecs", numFIndices, totDim);
3010: for (i = 0; i < fpdim; ++i) {
3011: Vec pointVec;
3012: PetscScalar *pV;
3013: PetscSF coarseCellSF = NULL;
3014: const PetscSFNode *coarseCells;
3015: PetscInt numCoarseCells, cpdim, row = findices[i + off], q, c, j;
3017: /* Get points from the dual basis functional quadrature */
3018: PetscCall(PetscDualSpaceGetFunctional(Q, i, &f));
3019: PetscCall(PetscQuadratureGetData(f, NULL, &qNc, &Np, &qpoints, &qweights));
3020: PetscCheck(qNc == Nc, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in quadrature %" PetscInt_FMT " does not match coarse field %" PetscInt_FMT, qNc, Nc);
3021: PetscCall(VecCreateSeq(PETSC_COMM_SELF, Np * dim, &pointVec));
3022: PetscCall(VecSetBlockSize(pointVec, dim));
3023: PetscCall(VecGetArray(pointVec, &pV));
3024: for (q = 0; q < Np; ++q) {
3025: const PetscReal xi0[3] = {-1., -1., -1.};
3027: /* Transform point to real space */
3028: CoordinatesRefToReal(dim, dim, xi0, v0, J, &qpoints[q * dim], x);
3029: for (d = 0; d < dim; ++d) pV[q * dim + d] = x[d];
3030: }
3031: PetscCall(VecRestoreArray(pointVec, &pV));
3032: /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
3033: /* OPT: Read this out from preallocation information */
3034: PetscCall(DMLocatePoints(dmc, pointVec, DM_POINTLOCATION_NEAREST, &coarseCellSF));
3035: /* Update preallocation info */
3036: PetscCall(PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells));
3037: PetscCheck(numCoarseCells == Np, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not all closure points located");
3038: PetscCall(VecGetArray(pointVec, &pV));
3039: for (ccell = 0; ccell < numCoarseCells; ++ccell) {
3040: PetscReal pVReal[3];
3041: const PetscReal xi0[3] = {-1., -1., -1.};
3043: PetscCall(DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, PETSC_FALSE, &numCIndices, &cindices, NULL, NULL));
3044: if (id == PETSCFE_CLASSID) PetscCall(PetscFEGetDimension((PetscFE)obj, &cpdim));
3045: else cpdim = 1;
3047: if (s) {
3048: /* Transform points from real space to coarse reference space */
3049: PetscCall(DMPlexComputeCellGeometryFEM(dmc, coarseCells[ccell].index, NULL, v0c, Jc, invJc, &detJc));
3050: for (d = 0; d < dim; ++d) pVReal[d] = PetscRealPart(pV[ccell * dim + d]);
3051: CoordinatesRealToRef(dim, dim, xi0, v0c, invJc, pVReal, x);
3053: if (id == PETSCFE_CLASSID) {
3054: /* Evaluate coarse basis on contained point */
3055: PetscCall(PetscFEComputeTabulation((PetscFE)obj, 1, x, 0, T));
3056: PetscCall(PetscArrayzero(elemMat, cpdim));
3057: /* Get elemMat entries by multiplying by weight */
3058: for (j = 0; j < cpdim; ++j) {
3059: for (c = 0; c < Nc; ++c) elemMat[j] += T->T[0][j * Nc + c] * qweights[ccell * qNc + c];
3060: }
3061: } else {
3062: for (j = 0; j < cpdim; ++j) {
3063: for (c = 0; c < Nc; ++c) elemMat[j] += 1.0 * qweights[ccell * qNc + c];
3064: }
3065: }
3066: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, 1, numCIndices, elemMat));
3067: }
3068: /* Update interpolator */
3069: PetscCheck(numCIndices == totDim, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Number of element matrix columns %" PetscInt_FMT " != %" PetscInt_FMT, numCIndices, totDim);
3070: PetscCall(MatSetValues(interp, 1, &row, cpdim, &cindices[off], elemMat, INSERT_VALUES));
3071: PetscCall(DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, PETSC_FALSE, &numCIndices, &cindices, NULL, NULL));
3072: }
3073: PetscCall(VecRestoreArray(pointVec, &pV));
3074: PetscCall(PetscSFDestroy(&coarseCellSF));
3075: PetscCall(VecDestroy(&pointVec));
3076: }
3077: PetscCall(DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, PETSC_FALSE, &numFIndices, &findices, NULL, NULL));
3078: }
3079: if (s && id == PETSCFE_CLASSID) PetscCall(PetscTabulationDestroy(&T));
3080: }
3081: if (!s) {
3082: PetscCall(MatAssemblyBegin(interp, MAT_FINAL_ASSEMBLY));
3083: PetscCall(MatAssemblyEnd(interp, MAT_FINAL_ASSEMBLY));
3084: PetscCall(MatPreallocatorPreallocate(interp, PETSC_TRUE, In));
3085: PetscCall(MatDestroy(&interp));
3086: interp = In;
3087: }
3088: }
3089: PetscCall(PetscFree3(v0, J, invJ));
3090: PetscCall(PetscFree3(v0c, Jc, invJc));
3091: PetscCall(PetscFree(elemMat));
3092: PetscCall(MatAssemblyBegin(In, MAT_FINAL_ASSEMBLY));
3093: PetscCall(MatAssemblyEnd(In, MAT_FINAL_ASSEMBLY));
3094: PetscCall(PetscLogEventEnd(DMPLEX_InterpolatorFEM, dmc, dmf, 0, 0));
3095: PetscFunctionReturn(PETSC_SUCCESS);
3096: }
3098: /*@
3099: DMPlexComputeMassMatrixGeneral - Form the local portion of the mass matrix from the coarse `DM` to a non-nested fine `DM`.
3101: Input Parameters:
3102: + dmf - The fine mesh
3103: . dmc - The coarse mesh
3104: - user - The user context
3106: Output Parameter:
3107: . mass - The mass matrix
3109: Level: developer
3111: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexComputeMassMatrixNested()`, `DMPlexComputeInterpolatorNested()`, `DMPlexComputeInterpolatorGeneral()`, `DMPlexComputeJacobianFEM()`
3112: @*/
3113: PetscErrorCode DMPlexComputeMassMatrixGeneral(DM dmc, DM dmf, Mat mass, void *user)
3114: {
3115: DM_Plex *mesh = (DM_Plex *)dmf->data;
3116: const char *name = "Mass Matrix";
3117: PetscDS prob;
3118: PetscSection fsection, csection, globalFSection, globalCSection;
3119: PetscHSetIJ ht;
3120: PetscLayout rLayout;
3121: PetscInt *dnz, *onz;
3122: PetscInt locRows, rStart, rEnd;
3123: PetscReal *x, *v0, *J, *invJ, detJ;
3124: PetscReal *v0c, *Jc, *invJc, detJc;
3125: PetscScalar *elemMat;
3126: PetscInt dim, Nf, field, totDim, cStart, cEnd, cell, ccell;
3128: PetscFunctionBegin;
3129: PetscCall(DMGetCoordinateDim(dmc, &dim));
3130: PetscCall(DMGetDS(dmc, &prob));
3131: PetscCall(PetscDSGetWorkspace(prob, &x, NULL, NULL, NULL, NULL));
3132: PetscCall(PetscDSGetNumFields(prob, &Nf));
3133: PetscCall(PetscMalloc3(dim, &v0, dim * dim, &J, dim * dim, &invJ));
3134: PetscCall(PetscMalloc3(dim, &v0c, dim * dim, &Jc, dim * dim, &invJc));
3135: PetscCall(DMGetLocalSection(dmf, &fsection));
3136: PetscCall(DMGetGlobalSection(dmf, &globalFSection));
3137: PetscCall(DMGetLocalSection(dmc, &csection));
3138: PetscCall(DMGetGlobalSection(dmc, &globalCSection));
3139: PetscCall(DMPlexGetHeightStratum(dmf, 0, &cStart, &cEnd));
3140: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
3141: PetscCall(PetscMalloc1(totDim, &elemMat));
3143: PetscCall(MatGetLocalSize(mass, &locRows, NULL));
3144: PetscCall(PetscLayoutCreate(PetscObjectComm((PetscObject)mass), &rLayout));
3145: PetscCall(PetscLayoutSetLocalSize(rLayout, locRows));
3146: PetscCall(PetscLayoutSetBlockSize(rLayout, 1));
3147: PetscCall(PetscLayoutSetUp(rLayout));
3148: PetscCall(PetscLayoutGetRange(rLayout, &rStart, &rEnd));
3149: PetscCall(PetscLayoutDestroy(&rLayout));
3150: PetscCall(PetscCalloc2(locRows, &dnz, locRows, &onz));
3151: PetscCall(PetscHSetIJCreate(&ht));
3152: for (field = 0; field < Nf; ++field) {
3153: PetscObject obj;
3154: PetscClassId id;
3155: PetscQuadrature quad;
3156: const PetscReal *qpoints;
3157: PetscInt Nq, Nc, i, d;
3159: PetscCall(PetscDSGetDiscretization(prob, field, &obj));
3160: PetscCall(PetscObjectGetClassId(obj, &id));
3161: if (id == PETSCFE_CLASSID) PetscCall(PetscFEGetQuadrature((PetscFE)obj, &quad));
3162: else PetscCall(PetscFVGetQuadrature((PetscFV)obj, &quad));
3163: PetscCall(PetscQuadratureGetData(quad, NULL, &Nc, &Nq, &qpoints, NULL));
3164: /* For each fine grid cell */
3165: for (cell = cStart; cell < cEnd; ++cell) {
3166: Vec pointVec;
3167: PetscScalar *pV;
3168: PetscSF coarseCellSF = NULL;
3169: const PetscSFNode *coarseCells;
3170: PetscInt numCoarseCells, q, c;
3171: PetscInt *findices, *cindices;
3172: PetscInt numFIndices, numCIndices;
3174: PetscCall(DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, PETSC_FALSE, &numFIndices, &findices, NULL, NULL));
3175: PetscCall(DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ));
3176: /* Get points from the quadrature */
3177: PetscCall(VecCreateSeq(PETSC_COMM_SELF, Nq * dim, &pointVec));
3178: PetscCall(VecSetBlockSize(pointVec, dim));
3179: PetscCall(VecGetArray(pointVec, &pV));
3180: for (q = 0; q < Nq; ++q) {
3181: const PetscReal xi0[3] = {-1., -1., -1.};
3183: /* Transform point to real space */
3184: CoordinatesRefToReal(dim, dim, xi0, v0, J, &qpoints[q * dim], x);
3185: for (d = 0; d < dim; ++d) pV[q * dim + d] = x[d];
3186: }
3187: PetscCall(VecRestoreArray(pointVec, &pV));
3188: /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
3189: PetscCall(DMLocatePoints(dmc, pointVec, DM_POINTLOCATION_NEAREST, &coarseCellSF));
3190: PetscCall(PetscSFViewFromOptions(coarseCellSF, NULL, "-interp_sf_view"));
3191: /* Update preallocation info */
3192: PetscCall(PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells));
3193: PetscCheck(numCoarseCells == Nq, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not all closure points located");
3194: {
3195: PetscHashIJKey key;
3196: PetscBool missing;
3198: for (i = 0; i < numFIndices; ++i) {
3199: key.i = findices[i];
3200: if (key.i >= 0) {
3201: /* Get indices for coarse elements */
3202: for (ccell = 0; ccell < numCoarseCells; ++ccell) {
3203: PetscCall(DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, PETSC_FALSE, &numCIndices, &cindices, NULL, NULL));
3204: for (c = 0; c < numCIndices; ++c) {
3205: key.j = cindices[c];
3206: if (key.j < 0) continue;
3207: PetscCall(PetscHSetIJQueryAdd(ht, key, &missing));
3208: if (missing) {
3209: if ((key.j >= rStart) && (key.j < rEnd)) ++dnz[key.i - rStart];
3210: else ++onz[key.i - rStart];
3211: }
3212: }
3213: PetscCall(DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, PETSC_FALSE, &numCIndices, &cindices, NULL, NULL));
3214: }
3215: }
3216: }
3217: }
3218: PetscCall(PetscSFDestroy(&coarseCellSF));
3219: PetscCall(VecDestroy(&pointVec));
3220: PetscCall(DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, PETSC_FALSE, &numFIndices, &findices, NULL, NULL));
3221: }
3222: }
3223: PetscCall(PetscHSetIJDestroy(&ht));
3224: PetscCall(MatXAIJSetPreallocation(mass, 1, dnz, onz, NULL, NULL));
3225: PetscCall(MatSetOption(mass, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3226: PetscCall(PetscFree2(dnz, onz));
3227: for (field = 0; field < Nf; ++field) {
3228: PetscObject obj;
3229: PetscClassId id;
3230: PetscTabulation T, Tfine;
3231: PetscQuadrature quad;
3232: const PetscReal *qpoints, *qweights;
3233: PetscInt Nq, Nc, i, d;
3235: PetscCall(PetscDSGetDiscretization(prob, field, &obj));
3236: PetscCall(PetscObjectGetClassId(obj, &id));
3237: if (id == PETSCFE_CLASSID) {
3238: PetscCall(PetscFEGetQuadrature((PetscFE)obj, &quad));
3239: PetscCall(PetscFEGetCellTabulation((PetscFE)obj, 1, &Tfine));
3240: PetscCall(PetscFECreateTabulation((PetscFE)obj, 1, 1, x, 0, &T));
3241: } else {
3242: PetscCall(PetscFVGetQuadrature((PetscFV)obj, &quad));
3243: }
3244: PetscCall(PetscQuadratureGetData(quad, NULL, &Nc, &Nq, &qpoints, &qweights));
3245: /* For each fine grid cell */
3246: for (cell = cStart; cell < cEnd; ++cell) {
3247: Vec pointVec;
3248: PetscScalar *pV;
3249: PetscSF coarseCellSF = NULL;
3250: const PetscSFNode *coarseCells;
3251: PetscInt numCoarseCells, cpdim, q, c, j;
3252: PetscInt *findices, *cindices;
3253: PetscInt numFIndices, numCIndices;
3255: PetscCall(DMPlexGetClosureIndices(dmf, fsection, globalFSection, cell, PETSC_FALSE, &numFIndices, &findices, NULL, NULL));
3256: PetscCall(DMPlexComputeCellGeometryFEM(dmf, cell, NULL, v0, J, invJ, &detJ));
3257: /* Get points from the quadrature */
3258: PetscCall(VecCreateSeq(PETSC_COMM_SELF, Nq * dim, &pointVec));
3259: PetscCall(VecSetBlockSize(pointVec, dim));
3260: PetscCall(VecGetArray(pointVec, &pV));
3261: for (q = 0; q < Nq; ++q) {
3262: const PetscReal xi0[3] = {-1., -1., -1.};
3264: /* Transform point to real space */
3265: CoordinatesRefToReal(dim, dim, xi0, v0, J, &qpoints[q * dim], x);
3266: for (d = 0; d < dim; ++d) pV[q * dim + d] = x[d];
3267: }
3268: PetscCall(VecRestoreArray(pointVec, &pV));
3269: /* Get set of coarse cells that overlap points (would like to group points by coarse cell) */
3270: PetscCall(DMLocatePoints(dmc, pointVec, DM_POINTLOCATION_NEAREST, &coarseCellSF));
3271: /* Update matrix */
3272: PetscCall(PetscSFGetGraph(coarseCellSF, NULL, &numCoarseCells, NULL, &coarseCells));
3273: PetscCheck(numCoarseCells == Nq, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not all closure points located");
3274: PetscCall(VecGetArray(pointVec, &pV));
3275: for (ccell = 0; ccell < numCoarseCells; ++ccell) {
3276: PetscReal pVReal[3];
3277: const PetscReal xi0[3] = {-1., -1., -1.};
3279: PetscCall(DMPlexGetClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, PETSC_FALSE, &numCIndices, &cindices, NULL, NULL));
3280: /* Transform points from real space to coarse reference space */
3281: PetscCall(DMPlexComputeCellGeometryFEM(dmc, coarseCells[ccell].index, NULL, v0c, Jc, invJc, &detJc));
3282: for (d = 0; d < dim; ++d) pVReal[d] = PetscRealPart(pV[ccell * dim + d]);
3283: CoordinatesRealToRef(dim, dim, xi0, v0c, invJc, pVReal, x);
3285: if (id == PETSCFE_CLASSID) {
3286: PetscFE fe = (PetscFE)obj;
3288: /* Evaluate coarse basis on contained point */
3289: PetscCall(PetscFEGetDimension(fe, &cpdim));
3290: PetscCall(PetscFEComputeTabulation(fe, 1, x, 0, T));
3291: /* Get elemMat entries by multiplying by weight */
3292: for (i = 0; i < numFIndices; ++i) {
3293: PetscCall(PetscArrayzero(elemMat, cpdim));
3294: for (j = 0; j < cpdim; ++j) {
3295: for (c = 0; c < Nc; ++c) elemMat[j] += T->T[0][j * Nc + c] * Tfine->T[0][(ccell * numFIndices + i) * Nc + c] * qweights[ccell * Nc + c] * detJ;
3296: }
3297: /* Update interpolator */
3298: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, 1, numCIndices, elemMat));
3299: PetscCheck(numCIndices == cpdim, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Number of element matrix columns %" PetscInt_FMT " != %" PetscInt_FMT, numCIndices, cpdim);
3300: PetscCall(MatSetValues(mass, 1, &findices[i], numCIndices, cindices, elemMat, ADD_VALUES));
3301: }
3302: } else {
3303: cpdim = 1;
3304: for (i = 0; i < numFIndices; ++i) {
3305: PetscCall(PetscArrayzero(elemMat, cpdim));
3306: for (j = 0; j < cpdim; ++j) {
3307: for (c = 0; c < Nc; ++c) elemMat[j] += 1.0 * 1.0 * qweights[ccell * Nc + c] * detJ;
3308: }
3309: /* Update interpolator */
3310: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, 1, numCIndices, elemMat));
3311: PetscCall(PetscPrintf(PETSC_COMM_SELF, "Nq: %" PetscInt_FMT " %" PetscInt_FMT " Nf: %" PetscInt_FMT " %" PetscInt_FMT " Nc: %" PetscInt_FMT " %" PetscInt_FMT "\n", ccell, Nq, i, numFIndices, j, numCIndices));
3312: PetscCheck(numCIndices == cpdim, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Number of element matrix columns %" PetscInt_FMT " != %" PetscInt_FMT, numCIndices, cpdim);
3313: PetscCall(MatSetValues(mass, 1, &findices[i], numCIndices, cindices, elemMat, ADD_VALUES));
3314: }
3315: }
3316: PetscCall(DMPlexRestoreClosureIndices(dmc, csection, globalCSection, coarseCells[ccell].index, PETSC_FALSE, &numCIndices, &cindices, NULL, NULL));
3317: }
3318: PetscCall(VecRestoreArray(pointVec, &pV));
3319: PetscCall(PetscSFDestroy(&coarseCellSF));
3320: PetscCall(VecDestroy(&pointVec));
3321: PetscCall(DMPlexRestoreClosureIndices(dmf, fsection, globalFSection, cell, PETSC_FALSE, &numFIndices, &findices, NULL, NULL));
3322: }
3323: if (id == PETSCFE_CLASSID) PetscCall(PetscTabulationDestroy(&T));
3324: }
3325: PetscCall(PetscFree3(v0, J, invJ));
3326: PetscCall(PetscFree3(v0c, Jc, invJc));
3327: PetscCall(PetscFree(elemMat));
3328: PetscCall(MatAssemblyBegin(mass, MAT_FINAL_ASSEMBLY));
3329: PetscCall(MatAssemblyEnd(mass, MAT_FINAL_ASSEMBLY));
3330: PetscFunctionReturn(PETSC_SUCCESS);
3331: }
3333: /*@
3334: DMPlexComputeInjectorFEM - Compute a mapping from coarse unknowns to fine unknowns
3336: Input Parameters:
3337: + dmc - The coarse mesh
3338: . dmf - The fine mesh
3339: - user - The user context
3341: Output Parameter:
3342: . sc - The mapping
3344: Level: developer
3346: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexComputeInterpolatorNested()`, `DMPlexComputeJacobianFEM()`
3347: @*/
3348: PetscErrorCode DMPlexComputeInjectorFEM(DM dmc, DM dmf, VecScatter *sc, void *user)
3349: {
3350: PetscDS prob;
3351: PetscFE *feRef;
3352: PetscFV *fvRef;
3353: Vec fv, cv;
3354: IS fis, cis;
3355: PetscSection fsection, fglobalSection, csection, cglobalSection;
3356: PetscInt *cmap, *cellCIndices, *cellFIndices, *cindices, *findices;
3357: PetscInt cTotDim, fTotDim = 0, Nf, f, field, cStart, cEnd, c, dim, d, startC, endC, offsetC, offsetF, m;
3358: PetscBool *needAvg;
3360: PetscFunctionBegin;
3361: PetscCall(PetscLogEventBegin(DMPLEX_InjectorFEM, dmc, dmf, 0, 0));
3362: PetscCall(DMGetDimension(dmf, &dim));
3363: PetscCall(DMGetLocalSection(dmf, &fsection));
3364: PetscCall(DMGetGlobalSection(dmf, &fglobalSection));
3365: PetscCall(DMGetLocalSection(dmc, &csection));
3366: PetscCall(DMGetGlobalSection(dmc, &cglobalSection));
3367: PetscCall(PetscSectionGetNumFields(fsection, &Nf));
3368: PetscCall(DMPlexGetSimplexOrBoxCells(dmc, 0, &cStart, &cEnd));
3369: PetscCall(DMGetDS(dmc, &prob));
3370: PetscCall(PetscCalloc3(Nf, &feRef, Nf, &fvRef, Nf, &needAvg));
3371: for (f = 0; f < Nf; ++f) {
3372: PetscObject obj;
3373: PetscClassId id;
3374: PetscInt fNb = 0, Nc = 0;
3376: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
3377: PetscCall(PetscObjectGetClassId(obj, &id));
3378: if (id == PETSCFE_CLASSID) {
3379: PetscFE fe = (PetscFE)obj;
3380: PetscSpace sp;
3381: PetscInt maxDegree;
3383: PetscCall(PetscFERefine(fe, &feRef[f]));
3384: PetscCall(PetscFEGetDimension(feRef[f], &fNb));
3385: PetscCall(PetscFEGetNumComponents(fe, &Nc));
3386: PetscCall(PetscFEGetBasisSpace(fe, &sp));
3387: PetscCall(PetscSpaceGetDegree(sp, NULL, &maxDegree));
3388: if (!maxDegree) needAvg[f] = PETSC_TRUE;
3389: } else if (id == PETSCFV_CLASSID) {
3390: PetscFV fv = (PetscFV)obj;
3391: PetscDualSpace Q;
3393: PetscCall(PetscFVRefine(fv, &fvRef[f]));
3394: PetscCall(PetscFVGetDualSpace(fvRef[f], &Q));
3395: PetscCall(PetscDualSpaceGetDimension(Q, &fNb));
3396: PetscCall(PetscFVGetNumComponents(fv, &Nc));
3397: needAvg[f] = PETSC_TRUE;
3398: }
3399: fTotDim += fNb;
3400: }
3401: PetscCall(PetscDSGetTotalDimension(prob, &cTotDim));
3402: PetscCall(PetscMalloc1(cTotDim, &cmap));
3403: for (field = 0, offsetC = 0, offsetF = 0; field < Nf; ++field) {
3404: PetscFE feC;
3405: PetscFV fvC;
3406: PetscDualSpace QF, QC;
3407: PetscInt order = -1, NcF, NcC, fpdim, cpdim;
3409: if (feRef[field]) {
3410: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&feC));
3411: PetscCall(PetscFEGetNumComponents(feC, &NcC));
3412: PetscCall(PetscFEGetNumComponents(feRef[field], &NcF));
3413: PetscCall(PetscFEGetDualSpace(feRef[field], &QF));
3414: PetscCall(PetscDualSpaceGetOrder(QF, &order));
3415: PetscCall(PetscDualSpaceGetDimension(QF, &fpdim));
3416: PetscCall(PetscFEGetDualSpace(feC, &QC));
3417: PetscCall(PetscDualSpaceGetDimension(QC, &cpdim));
3418: } else {
3419: PetscCall(PetscDSGetDiscretization(prob, field, (PetscObject *)&fvC));
3420: PetscCall(PetscFVGetNumComponents(fvC, &NcC));
3421: PetscCall(PetscFVGetNumComponents(fvRef[field], &NcF));
3422: PetscCall(PetscFVGetDualSpace(fvRef[field], &QF));
3423: PetscCall(PetscDualSpaceGetDimension(QF, &fpdim));
3424: PetscCall(PetscFVGetDualSpace(fvC, &QC));
3425: PetscCall(PetscDualSpaceGetDimension(QC, &cpdim));
3426: }
3427: PetscCheck(NcF == NcC, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of components in fine space field %" PetscInt_FMT " does not match coarse field %" PetscInt_FMT, NcF, NcC);
3428: for (c = 0; c < cpdim; ++c) {
3429: PetscQuadrature cfunc;
3430: const PetscReal *cqpoints, *cqweights;
3431: PetscInt NqcC, NpC;
3432: PetscBool found = PETSC_FALSE;
3434: PetscCall(PetscDualSpaceGetFunctional(QC, c, &cfunc));
3435: PetscCall(PetscQuadratureGetData(cfunc, NULL, &NqcC, &NpC, &cqpoints, &cqweights));
3436: PetscCheck(NqcC == NcC, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of quadrature components %" PetscInt_FMT " must match number of field components %" PetscInt_FMT, NqcC, NcC);
3437: PetscCheck(NpC == 1 || !feRef[field], PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Do not know how to do injection for moments");
3438: for (f = 0; f < fpdim; ++f) {
3439: PetscQuadrature ffunc;
3440: const PetscReal *fqpoints, *fqweights;
3441: PetscReal sum = 0.0;
3442: PetscInt NqcF, NpF;
3444: PetscCall(PetscDualSpaceGetFunctional(QF, f, &ffunc));
3445: PetscCall(PetscQuadratureGetData(ffunc, NULL, &NqcF, &NpF, &fqpoints, &fqweights));
3446: PetscCheck(NqcF == NcF, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Number of quadrature components %" PetscInt_FMT " must match number of field components %" PetscInt_FMT, NqcF, NcF);
3447: if (NpC != NpF) continue;
3448: for (d = 0; d < dim; ++d) sum += PetscAbsReal(cqpoints[d] - fqpoints[d]);
3449: if (sum > 1.0e-9) continue;
3450: for (d = 0; d < NcC; ++d) sum += PetscAbsReal(cqweights[d] * fqweights[d]);
3451: if (sum < 1.0e-9) continue;
3452: cmap[offsetC + c] = offsetF + f;
3453: found = PETSC_TRUE;
3454: break;
3455: }
3456: if (!found) {
3457: /* TODO We really want the average here, but some asshole put VecScatter in the interface */
3458: if (fvRef[field] || (feRef[field] && order == 0)) {
3459: cmap[offsetC + c] = offsetF + 0;
3460: } else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Could not locate matching functional for injection");
3461: }
3462: }
3463: offsetC += cpdim;
3464: offsetF += fpdim;
3465: }
3466: for (f = 0; f < Nf; ++f) {
3467: PetscCall(PetscFEDestroy(&feRef[f]));
3468: PetscCall(PetscFVDestroy(&fvRef[f]));
3469: }
3470: PetscCall(PetscFree3(feRef, fvRef, needAvg));
3472: PetscCall(DMGetGlobalVector(dmf, &fv));
3473: PetscCall(DMGetGlobalVector(dmc, &cv));
3474: PetscCall(VecGetOwnershipRange(cv, &startC, &endC));
3475: PetscCall(PetscSectionGetConstrainedStorageSize(cglobalSection, &m));
3476: PetscCall(PetscMalloc2(cTotDim, &cellCIndices, fTotDim, &cellFIndices));
3477: PetscCall(PetscMalloc1(m, &cindices));
3478: PetscCall(PetscMalloc1(m, &findices));
3479: for (d = 0; d < m; ++d) cindices[d] = findices[d] = -1;
3480: for (c = cStart; c < cEnd; ++c) {
3481: PetscCall(DMPlexMatGetClosureIndicesRefined(dmf, fsection, fglobalSection, dmc, csection, cglobalSection, c, cellCIndices, cellFIndices));
3482: for (d = 0; d < cTotDim; ++d) {
3483: if ((cellCIndices[d] < startC) || (cellCIndices[d] >= endC)) continue;
3484: PetscCheck(!(findices[cellCIndices[d] - startC] >= 0) || !(findices[cellCIndices[d] - startC] != cellFIndices[cmap[d]]), PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cell %" PetscInt_FMT " Coarse dof %" PetscInt_FMT " maps to both %" PetscInt_FMT " and %" PetscInt_FMT, c, cindices[cellCIndices[d] - startC], findices[cellCIndices[d] - startC], cellFIndices[cmap[d]]);
3485: cindices[cellCIndices[d] - startC] = cellCIndices[d];
3486: findices[cellCIndices[d] - startC] = cellFIndices[cmap[d]];
3487: }
3488: }
3489: PetscCall(PetscFree(cmap));
3490: PetscCall(PetscFree2(cellCIndices, cellFIndices));
3492: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, m, cindices, PETSC_OWN_POINTER, &cis));
3493: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, m, findices, PETSC_OWN_POINTER, &fis));
3494: PetscCall(VecScatterCreate(cv, cis, fv, fis, sc));
3495: PetscCall(ISDestroy(&cis));
3496: PetscCall(ISDestroy(&fis));
3497: PetscCall(DMRestoreGlobalVector(dmf, &fv));
3498: PetscCall(DMRestoreGlobalVector(dmc, &cv));
3499: PetscCall(PetscLogEventEnd(DMPLEX_InjectorFEM, dmc, dmf, 0, 0));
3500: PetscFunctionReturn(PETSC_SUCCESS);
3501: }
3503: /*@C
3504: DMPlexGetCellFields - Retrieve the field values values for a chunk of cells
3506: Input Parameters:
3507: + dm - The `DM`
3508: . cellIS - The cells to include
3509: . locX - A local vector with the solution fields
3510: . locX_t - A local vector with solution field time derivatives, or NULL
3511: - locA - A local vector with auxiliary fields, or NULL
3513: Output Parameters:
3514: + u - The field coefficients
3515: . u_t - The fields derivative coefficients
3516: - a - The auxiliary field coefficients
3518: Level: developer
3520: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetFaceFields()`
3521: @*/
3522: PetscErrorCode DMPlexGetCellFields(DM dm, IS cellIS, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a)
3523: {
3524: DM plex, plexA = NULL;
3525: DMEnclosureType encAux;
3526: PetscSection section, sectionAux;
3527: PetscDS prob;
3528: const PetscInt *cells;
3529: PetscInt cStart, cEnd, numCells, totDim, totDimAux, c;
3531: PetscFunctionBegin;
3536: PetscAssertPointer(u, 6);
3537: PetscAssertPointer(u_t, 7);
3538: PetscAssertPointer(a, 8);
3539: PetscCall(DMPlexConvertPlex(dm, &plex, PETSC_FALSE));
3540: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
3541: PetscCall(DMGetLocalSection(dm, §ion));
3542: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &prob, NULL));
3543: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
3544: if (locA) {
3545: DM dmAux;
3546: PetscDS probAux;
3548: PetscCall(VecGetDM(locA, &dmAux));
3549: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
3550: PetscCall(DMPlexConvertPlex(dmAux, &plexA, PETSC_FALSE));
3551: PetscCall(DMGetLocalSection(dmAux, §ionAux));
3552: PetscCall(DMGetDS(dmAux, &probAux));
3553: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
3554: }
3555: numCells = cEnd - cStart;
3556: PetscCall(DMGetWorkArray(dm, numCells * totDim, MPIU_SCALAR, u));
3557: if (locX_t) PetscCall(DMGetWorkArray(dm, numCells * totDim, MPIU_SCALAR, u_t));
3558: else *u_t = NULL;
3559: if (locA) PetscCall(DMGetWorkArray(dm, numCells * totDimAux, MPIU_SCALAR, a));
3560: else *a = NULL;
3561: for (c = cStart; c < cEnd; ++c) {
3562: const PetscInt cell = cells ? cells[c] : c;
3563: const PetscInt cind = c - cStart;
3564: PetscScalar *x = NULL, *x_t = NULL, *ul = *u, *ul_t = *u_t, *al = *a;
3565: PetscInt i;
3567: PetscCall(DMPlexVecGetClosure(plex, section, locX, cell, NULL, &x));
3568: for (i = 0; i < totDim; ++i) ul[cind * totDim + i] = x[i];
3569: PetscCall(DMPlexVecRestoreClosure(plex, section, locX, cell, NULL, &x));
3570: if (locX_t) {
3571: PetscCall(DMPlexVecGetClosure(plex, section, locX_t, cell, NULL, &x_t));
3572: for (i = 0; i < totDim; ++i) ul_t[cind * totDim + i] = x_t[i];
3573: PetscCall(DMPlexVecRestoreClosure(plex, section, locX_t, cell, NULL, &x_t));
3574: }
3575: if (locA) {
3576: PetscInt subcell;
3577: PetscCall(DMGetEnclosurePoint(plexA, dm, encAux, cell, &subcell));
3578: PetscCall(DMPlexVecGetClosure(plexA, sectionAux, locA, subcell, NULL, &x));
3579: for (i = 0; i < totDimAux; ++i) al[cind * totDimAux + i] = x[i];
3580: PetscCall(DMPlexVecRestoreClosure(plexA, sectionAux, locA, subcell, NULL, &x));
3581: }
3582: }
3583: PetscCall(DMDestroy(&plex));
3584: if (locA) PetscCall(DMDestroy(&plexA));
3585: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
3586: PetscFunctionReturn(PETSC_SUCCESS);
3587: }
3589: /*@C
3590: DMPlexRestoreCellFields - Restore the field values values for a chunk of cells
3592: Input Parameters:
3593: + dm - The `DM`
3594: . cellIS - The cells to include
3595: . locX - A local vector with the solution fields
3596: . locX_t - A local vector with solution field time derivatives, or NULL
3597: - locA - A local vector with auxiliary fields, or NULL
3599: Output Parameters:
3600: + u - The field coefficients
3601: . u_t - The fields derivative coefficients
3602: - a - The auxiliary field coefficients
3604: Level: developer
3606: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetFaceFields()`
3607: @*/
3608: PetscErrorCode DMPlexRestoreCellFields(DM dm, IS cellIS, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a)
3609: {
3610: PetscFunctionBegin;
3611: PetscCall(DMRestoreWorkArray(dm, 0, MPIU_SCALAR, u));
3612: if (locX_t) PetscCall(DMRestoreWorkArray(dm, 0, MPIU_SCALAR, u_t));
3613: if (locA) PetscCall(DMRestoreWorkArray(dm, 0, MPIU_SCALAR, a));
3614: PetscFunctionReturn(PETSC_SUCCESS);
3615: }
3617: static PetscErrorCode DMPlexGetHybridCellFields(DM dm, IS cellIS, Vec locX, Vec locX_t, Vec locA, PetscScalar **u, PetscScalar **u_t, PetscScalar **a)
3618: {
3619: DM plex, plexA = NULL;
3620: DMEnclosureType encAux;
3621: PetscSection section, sectionAux;
3622: PetscDS ds, dsIn;
3623: const PetscInt *cells;
3624: PetscInt cStart, cEnd, numCells, c, totDim, totDimAux, Nf, f;
3626: PetscFunctionBegin;
3632: PetscAssertPointer(u, 6);
3633: PetscAssertPointer(u_t, 7);
3634: PetscAssertPointer(a, 8);
3635: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
3636: numCells = cEnd - cStart;
3637: PetscCall(DMPlexConvertPlex(dm, &plex, PETSC_FALSE));
3638: PetscCall(DMGetLocalSection(dm, §ion));
3639: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &ds, &dsIn));
3640: PetscCall(PetscDSGetNumFields(dsIn, &Nf));
3641: PetscCall(PetscDSGetTotalDimension(dsIn, &totDim));
3642: if (locA) {
3643: DM dmAux;
3644: PetscDS probAux;
3646: PetscCall(VecGetDM(locA, &dmAux));
3647: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
3648: PetscCall(DMPlexConvertPlex(dmAux, &plexA, PETSC_FALSE));
3649: PetscCall(DMGetLocalSection(dmAux, §ionAux));
3650: PetscCall(DMGetDS(dmAux, &probAux));
3651: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
3652: }
3653: PetscCall(DMGetWorkArray(dm, numCells * totDim, MPIU_SCALAR, u));
3654: if (locX_t) PetscCall(DMGetWorkArray(dm, numCells * totDim, MPIU_SCALAR, u_t));
3655: else {
3656: *u_t = NULL;
3657: }
3658: if (locA) PetscCall(DMGetWorkArray(dm, numCells * totDimAux, MPIU_SCALAR, a));
3659: else {
3660: *a = NULL;
3661: }
3662: // Loop over cohesive cells
3663: for (c = cStart; c < cEnd; ++c) {
3664: const PetscInt cell = cells ? cells[c] : c;
3665: const PetscInt cind = c - cStart;
3666: PetscScalar *xf = NULL, *xc = NULL, *x = NULL, *xf_t = NULL, *xc_t = NULL;
3667: PetscScalar *ul = &(*u)[cind * totDim], *ul_t = PetscSafePointerPlusOffset(*u_t, cind * totDim);
3668: const PetscInt *cone, *ornt;
3669: PetscInt Nx = 0, Nxf, s;
3671: PetscCall(DMPlexGetCone(dm, cell, &cone));
3672: PetscCall(DMPlexGetConeOrientation(dm, cell, &ornt));
3673: // Put in cohesive unknowns
3674: PetscCall(DMPlexVecGetClosure(plex, section, locX, cell, &Nxf, &xf));
3675: if (locX_t) PetscCall(DMPlexVecGetClosure(plex, section, locX_t, cell, NULL, &xf_t));
3676: for (f = 0; f < Nf; ++f) {
3677: PetscInt fdofIn, foff, foffIn;
3678: PetscBool cohesive;
3680: PetscCall(PetscDSGetCohesive(dsIn, f, &cohesive));
3681: if (!cohesive) continue;
3682: PetscCall(PetscDSGetFieldSize(dsIn, f, &fdofIn));
3683: PetscCall(PetscDSGetFieldOffsetCohesive(ds, f, &foff));
3684: PetscCall(PetscDSGetFieldOffsetCohesive(dsIn, f, &foffIn));
3685: for (PetscInt i = 0; i < fdofIn; ++i) ul[foffIn + i] = xf[foff + i];
3686: if (locX_t)
3687: for (PetscInt i = 0; i < fdofIn; ++i) ul_t[foffIn + i] = xf_t[foff + i];
3688: Nx += fdofIn;
3689: }
3690: PetscCall(DMPlexVecRestoreClosure(plex, section, locX, cell, &Nxf, &xf));
3691: if (locX_t) PetscCall(DMPlexVecRestoreClosure(plex, section, locX_t, cell, NULL, &xf_t));
3692: // Loop over sides of surface
3693: for (s = 0; s < 2; ++s) {
3694: const PetscInt *support;
3695: const PetscInt face = cone[s];
3696: PetscInt ssize, ncell, Nxc;
3698: // I don't think I need the face to have 0 orientation in the hybrid cell
3699: //PetscCheck(!ornt[s], PETSC_COMM_SELF, PETSC_ERR_SUP, "Face %" PetscInt_FMT " in hybrid cell %" PetscInt_FMT " has orientation %" PetscInt_FMT " != 0", face, cell, ornt[s]);
3700: PetscCall(DMPlexGetSupport(dm, face, &support));
3701: PetscCall(DMPlexGetSupportSize(dm, face, &ssize));
3702: if (support[0] == cell) ncell = support[1];
3703: else if (support[1] == cell) ncell = support[0];
3704: else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " does not have cell %" PetscInt_FMT " in its support", face, cell);
3705: // Get closure of both face and cell, stick in cell for normal fields and face for cohesive fields
3706: PetscCall(DMPlexVecGetClosure(plex, section, locX, ncell, &Nxc, &xc));
3707: if (locX_t) PetscCall(DMPlexVecGetClosure(plex, section, locX_t, ncell, NULL, &xc_t));
3708: for (f = 0; f < Nf; ++f) {
3709: PetscInt fdofIn, foffIn;
3710: PetscBool cohesive;
3712: PetscCall(PetscDSGetCohesive(dsIn, f, &cohesive));
3713: if (cohesive) continue;
3714: PetscCall(PetscDSGetFieldSize(dsIn, f, &fdofIn));
3715: PetscCall(PetscDSGetFieldOffsetCohesive(dsIn, f, &foffIn));
3716: for (PetscInt i = 0; i < fdofIn; ++i) ul[foffIn + s * fdofIn + i] = xc[foffIn + i];
3717: if (locX_t)
3718: for (PetscInt i = 0; i < fdofIn; ++i) ul_t[foffIn + s * fdofIn + i] = xc_t[foffIn + i];
3719: Nx += fdofIn;
3720: }
3721: PetscCall(DMPlexVecRestoreClosure(plex, section, locX, ncell, &Nxc, &xc));
3722: if (locX_t) PetscCall(DMPlexVecRestoreClosure(plex, section, locX_t, ncell, NULL, &xc_t));
3723: }
3724: PetscCheck(Nx == totDim, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Closure size %" PetscInt_FMT " for cell %" PetscInt_FMT " does not match DS size %" PetscInt_FMT, Nx, cell, totDim);
3726: if (locA) {
3727: PetscScalar *al = &(*a)[cind * totDimAux];
3728: PetscInt subcell;
3730: PetscCall(DMGetEnclosurePoint(plexA, dm, encAux, cell, &subcell));
3731: PetscCall(DMPlexVecGetClosure(plexA, sectionAux, locA, subcell, &Nx, &x));
3732: PetscCheck(Nx == totDimAux, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Closure size %" PetscInt_FMT " for subcell %" PetscInt_FMT "does not match DS size %" PetscInt_FMT, Nx, subcell, totDimAux);
3733: for (PetscInt i = 0; i < totDimAux; ++i) al[i] = x[i];
3734: PetscCall(DMPlexVecRestoreClosure(plexA, sectionAux, locA, subcell, &Nx, &x));
3735: }
3736: }
3737: PetscCall(DMDestroy(&plex));
3738: PetscCall(DMDestroy(&plexA));
3739: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
3740: PetscFunctionReturn(PETSC_SUCCESS);
3741: }
3743: /*
3744: DMPlexGetHybridFields - Get the field values for the negative side (s = 0) and positive side (s = 1) of the interface
3746: Input Parameters:
3747: + dm - The full domain DM
3748: . dmX - An array of DM for the field, say an auxiliary DM, indexed by s
3749: . dsX - An array of PetscDS for the field, indexed by s
3750: . cellIS - The interface cells for which we want values
3751: . locX - An array of local vectors with the field values, indexed by s
3752: - useCell - Flag to have values come from neighboring cell rather than endcap face
3754: Output Parameter:
3755: . x - An array of field values, indexed by s
3757: Note:
3758: The arrays in `x` will be allocated using `DMGetWorkArray()`, and must be returned using `DMPlexRestoreHybridFields()`.
3760: Level: advanced
3762: .seealso: `DMPlexRestoreHybridFields()`, `DMGetWorkArray()`
3763: */
3764: static PetscErrorCode DMPlexGetHybridFields(DM dm, DM dmX[], PetscDS dsX[], IS cellIS, Vec locX[], PetscBool useCell, PetscScalar *x[])
3765: {
3766: DM plexX[2];
3767: DMEnclosureType encX[2];
3768: PetscSection sectionX[2];
3769: const PetscInt *cells;
3770: PetscInt cStart, cEnd, numCells, c, s, totDimX[2];
3772: PetscFunctionBegin;
3773: PetscAssertPointer(locX, 5);
3774: if (!locX[0] || !locX[1]) PetscFunctionReturn(PETSC_SUCCESS);
3775: PetscAssertPointer(dmX, 2);
3776: PetscAssertPointer(dsX, 3);
3778: PetscAssertPointer(x, 7);
3779: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
3780: numCells = cEnd - cStart;
3781: for (s = 0; s < 2; ++s) {
3785: PetscCall(DMPlexConvertPlex(dmX[s], &plexX[s], PETSC_FALSE));
3786: PetscCall(DMGetEnclosureRelation(dmX[s], dm, &encX[s]));
3787: PetscCall(DMGetLocalSection(dmX[s], §ionX[s]));
3788: PetscCall(PetscDSGetTotalDimension(dsX[s], &totDimX[s]));
3789: PetscCall(DMGetWorkArray(dmX[s], numCells * totDimX[s], MPIU_SCALAR, &x[s]));
3790: }
3791: for (c = cStart; c < cEnd; ++c) {
3792: const PetscInt cell = cells ? cells[c] : c;
3793: const PetscInt cind = c - cStart;
3794: const PetscInt *cone, *ornt;
3796: PetscCall(DMPlexGetCone(dm, cell, &cone));
3797: PetscCall(DMPlexGetConeOrientation(dm, cell, &ornt));
3798: //PetscCheck(!ornt[0], PETSC_COMM_SELF, PETSC_ERR_SUP, "Face %" PetscInt_FMT " in hybrid cell %" PetscInt_FMT " has orientation %" PetscInt_FMT " != 0", cone[0], cell, ornt[0]);
3799: for (s = 0; s < 2; ++s) {
3800: const PetscInt tdX = totDimX[s];
3801: PetscScalar *closure = NULL, *xl = &x[s][cind * tdX];
3802: PetscInt face = cone[s], point = face, subpoint, Nx, i;
3804: if (useCell) {
3805: const PetscInt *support;
3806: PetscInt ssize;
3808: PetscCall(DMPlexGetSupport(dm, face, &support));
3809: PetscCall(DMPlexGetSupportSize(dm, face, &ssize));
3810: PetscCheck(ssize == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " from cell %" PetscInt_FMT " has support size %" PetscInt_FMT " != 2", face, cell, ssize);
3811: if (support[0] == cell) point = support[1];
3812: else if (support[1] == cell) point = support[0];
3813: else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " does not have cell %" PetscInt_FMT " in its support", face, cell);
3814: }
3815: PetscCall(DMGetEnclosurePoint(plexX[s], dm, encX[s], point, &subpoint));
3816: PetscCall(DMPlexVecGetOrientedClosure_Internal(plexX[s], sectionX[s], PETSC_FALSE, locX[s], subpoint, ornt[s], &Nx, &closure));
3817: PetscCheck(Nx == tdX, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Closure size %" PetscInt_FMT " for subpoint %" PetscInt_FMT " does not match DS size %" PetscInt_FMT, Nx, subpoint, tdX);
3818: for (i = 0; i < Nx; ++i) xl[i] = closure[i];
3819: PetscCall(DMPlexVecRestoreClosure(plexX[s], sectionX[s], locX[s], subpoint, &Nx, &closure));
3820: }
3821: }
3822: for (s = 0; s < 2; ++s) PetscCall(DMDestroy(&plexX[s]));
3823: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
3824: PetscFunctionReturn(PETSC_SUCCESS);
3825: }
3827: static PetscErrorCode DMPlexRestoreHybridFields(DM dm, DM dmX[], PetscDS dsX[], IS cellIS, Vec locX[], PetscBool useCell, PetscScalar *x[])
3828: {
3829: PetscFunctionBegin;
3830: if (!locX[0] || !locX[1]) PetscFunctionReturn(PETSC_SUCCESS);
3831: PetscCall(DMRestoreWorkArray(dmX[0], 0, MPIU_SCALAR, &x[0]));
3832: PetscCall(DMRestoreWorkArray(dmX[1], 0, MPIU_SCALAR, &x[1]));
3833: PetscFunctionReturn(PETSC_SUCCESS);
3834: }
3836: /*@C
3837: DMPlexGetFaceFields - Retrieve the field values values for a chunk of faces
3839: Input Parameters:
3840: + dm - The `DM`
3841: . fStart - The first face to include
3842: . fEnd - The first face to exclude
3843: . locX - A local vector with the solution fields
3844: . locX_t - A local vector with solution field time derivatives, or NULL
3845: . faceGeometry - A local vector with face geometry
3846: . cellGeometry - A local vector with cell geometry
3847: - locGrad - A local vector with field gradients, or NULL
3849: Output Parameters:
3850: + Nface - The number of faces with field values
3851: . uL - The field values at the left side of the face
3852: - uR - The field values at the right side of the face
3854: Level: developer
3856: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetCellFields()`
3857: @*/
3858: PetscErrorCode DMPlexGetFaceFields(DM dm, PetscInt fStart, PetscInt fEnd, Vec locX, Vec locX_t, Vec faceGeometry, Vec cellGeometry, Vec locGrad, PetscInt *Nface, PetscScalar **uL, PetscScalar **uR)
3859: {
3860: DM dmFace, dmCell, dmGrad = NULL;
3861: PetscSection section;
3862: PetscDS prob;
3863: DMLabel ghostLabel;
3864: const PetscScalar *facegeom, *cellgeom, *x, *lgrad;
3865: PetscBool *isFE;
3866: PetscInt dim, Nf, f, Nc, numFaces = fEnd - fStart, iface, face;
3868: PetscFunctionBegin;
3875: PetscAssertPointer(uL, 10);
3876: PetscAssertPointer(uR, 11);
3877: PetscCall(DMGetDimension(dm, &dim));
3878: PetscCall(DMGetDS(dm, &prob));
3879: PetscCall(DMGetLocalSection(dm, §ion));
3880: PetscCall(PetscDSGetNumFields(prob, &Nf));
3881: PetscCall(PetscDSGetTotalComponents(prob, &Nc));
3882: PetscCall(PetscMalloc1(Nf, &isFE));
3883: for (f = 0; f < Nf; ++f) {
3884: PetscObject obj;
3885: PetscClassId id;
3887: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
3888: PetscCall(PetscObjectGetClassId(obj, &id));
3889: if (id == PETSCFE_CLASSID) {
3890: isFE[f] = PETSC_TRUE;
3891: } else if (id == PETSCFV_CLASSID) {
3892: isFE[f] = PETSC_FALSE;
3893: } else {
3894: isFE[f] = PETSC_FALSE;
3895: }
3896: }
3897: PetscCall(DMGetLabel(dm, "ghost", &ghostLabel));
3898: PetscCall(VecGetArrayRead(locX, &x));
3899: PetscCall(VecGetDM(faceGeometry, &dmFace));
3900: PetscCall(VecGetArrayRead(faceGeometry, &facegeom));
3901: PetscCall(VecGetDM(cellGeometry, &dmCell));
3902: PetscCall(VecGetArrayRead(cellGeometry, &cellgeom));
3903: if (locGrad) {
3904: PetscCall(VecGetDM(locGrad, &dmGrad));
3905: PetscCall(VecGetArrayRead(locGrad, &lgrad));
3906: }
3907: PetscCall(DMGetWorkArray(dm, numFaces * Nc, MPIU_SCALAR, uL));
3908: PetscCall(DMGetWorkArray(dm, numFaces * Nc, MPIU_SCALAR, uR));
3909: /* Right now just eat the extra work for FE (could make a cell loop) */
3910: for (face = fStart, iface = 0; face < fEnd; ++face) {
3911: const PetscInt *cells;
3912: PetscFVFaceGeom *fg;
3913: PetscFVCellGeom *cgL, *cgR;
3914: PetscScalar *xL, *xR, *gL, *gR;
3915: PetscScalar *uLl = *uL, *uRl = *uR;
3916: PetscInt ghost, nsupp, nchild;
3918: PetscCall(DMLabelGetValue(ghostLabel, face, &ghost));
3919: PetscCall(DMPlexGetSupportSize(dm, face, &nsupp));
3920: PetscCall(DMPlexGetTreeChildren(dm, face, &nchild, NULL));
3921: if (ghost >= 0 || nsupp > 2 || nchild > 0) continue;
3922: PetscCall(DMPlexPointLocalRead(dmFace, face, facegeom, &fg));
3923: PetscCall(DMPlexGetSupport(dm, face, &cells));
3924: PetscCall(DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL));
3925: PetscCall(DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR));
3926: for (f = 0; f < Nf; ++f) {
3927: PetscInt off;
3929: PetscCall(PetscDSGetComponentOffset(prob, f, &off));
3930: if (isFE[f]) {
3931: const PetscInt *cone;
3932: PetscInt comp, coneSizeL, coneSizeR, faceLocL, faceLocR, ldof, rdof, d;
3934: xL = xR = NULL;
3935: PetscCall(PetscSectionGetFieldComponents(section, f, &comp));
3936: PetscCall(DMPlexVecGetClosure(dm, section, locX, cells[0], &ldof, (PetscScalar **)&xL));
3937: PetscCall(DMPlexVecGetClosure(dm, section, locX, cells[1], &rdof, (PetscScalar **)&xR));
3938: PetscCall(DMPlexGetCone(dm, cells[0], &cone));
3939: PetscCall(DMPlexGetConeSize(dm, cells[0], &coneSizeL));
3940: for (faceLocL = 0; faceLocL < coneSizeL; ++faceLocL)
3941: if (cone[faceLocL] == face) break;
3942: PetscCall(DMPlexGetCone(dm, cells[1], &cone));
3943: PetscCall(DMPlexGetConeSize(dm, cells[1], &coneSizeR));
3944: for (faceLocR = 0; faceLocR < coneSizeR; ++faceLocR)
3945: if (cone[faceLocR] == face) break;
3946: PetscCheck(faceLocL != coneSizeL || faceLocR != coneSizeR, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Could not find face %" PetscInt_FMT " in cone of cell %" PetscInt_FMT " or cell %" PetscInt_FMT, face, cells[0], cells[1]);
3947: /* Check that FEM field has values in the right cell (sometimes its an FV ghost cell) */
3948: /* TODO: this is a hack that might not be right for nonconforming */
3949: if (faceLocL < coneSizeL) {
3950: PetscCall(PetscFEEvaluateFaceFields_Internal(prob, f, faceLocL, xL, &uLl[iface * Nc + off]));
3951: if (rdof == ldof && faceLocR < coneSizeR) PetscCall(PetscFEEvaluateFaceFields_Internal(prob, f, faceLocR, xR, &uRl[iface * Nc + off]));
3952: else {
3953: for (d = 0; d < comp; ++d) uRl[iface * Nc + off + d] = uLl[iface * Nc + off + d];
3954: }
3955: } else {
3956: PetscCall(PetscFEEvaluateFaceFields_Internal(prob, f, faceLocR, xR, &uRl[iface * Nc + off]));
3957: PetscCall(PetscSectionGetFieldComponents(section, f, &comp));
3958: for (d = 0; d < comp; ++d) uLl[iface * Nc + off + d] = uRl[iface * Nc + off + d];
3959: }
3960: PetscCall(DMPlexVecRestoreClosure(dm, section, locX, cells[0], &ldof, (PetscScalar **)&xL));
3961: PetscCall(DMPlexVecRestoreClosure(dm, section, locX, cells[1], &rdof, (PetscScalar **)&xR));
3962: } else {
3963: PetscFV fv;
3964: PetscInt numComp, c;
3966: PetscCall(PetscDSGetDiscretization(prob, f, (PetscObject *)&fv));
3967: PetscCall(PetscFVGetNumComponents(fv, &numComp));
3968: PetscCall(DMPlexPointLocalFieldRead(dm, cells[0], f, x, &xL));
3969: PetscCall(DMPlexPointLocalFieldRead(dm, cells[1], f, x, &xR));
3970: if (dmGrad) {
3971: PetscReal dxL[3], dxR[3];
3973: PetscCall(DMPlexPointLocalRead(dmGrad, cells[0], lgrad, &gL));
3974: PetscCall(DMPlexPointLocalRead(dmGrad, cells[1], lgrad, &gR));
3975: DMPlex_WaxpyD_Internal(dim, -1, cgL->centroid, fg->centroid, dxL);
3976: DMPlex_WaxpyD_Internal(dim, -1, cgR->centroid, fg->centroid, dxR);
3977: for (c = 0; c < numComp; ++c) {
3978: uLl[iface * Nc + off + c] = xL[c] + DMPlex_DotD_Internal(dim, &gL[c * dim], dxL);
3979: uRl[iface * Nc + off + c] = xR[c] + DMPlex_DotD_Internal(dim, &gR[c * dim], dxR);
3980: }
3981: } else {
3982: for (c = 0; c < numComp; ++c) {
3983: uLl[iface * Nc + off + c] = xL[c];
3984: uRl[iface * Nc + off + c] = xR[c];
3985: }
3986: }
3987: }
3988: }
3989: ++iface;
3990: }
3991: *Nface = iface;
3992: PetscCall(VecRestoreArrayRead(locX, &x));
3993: PetscCall(VecRestoreArrayRead(faceGeometry, &facegeom));
3994: PetscCall(VecRestoreArrayRead(cellGeometry, &cellgeom));
3995: if (locGrad) PetscCall(VecRestoreArrayRead(locGrad, &lgrad));
3996: PetscCall(PetscFree(isFE));
3997: PetscFunctionReturn(PETSC_SUCCESS);
3998: }
4000: /*@C
4001: DMPlexRestoreFaceFields - Restore the field values values for a chunk of faces
4003: Input Parameters:
4004: + dm - The `DM`
4005: . fStart - The first face to include
4006: . fEnd - The first face to exclude
4007: . locX - A local vector with the solution fields
4008: . locX_t - A local vector with solution field time derivatives, or NULL
4009: . faceGeometry - A local vector with face geometry
4010: . cellGeometry - A local vector with cell geometry
4011: - locGrad - A local vector with field gradients, or NULL
4013: Output Parameters:
4014: + Nface - The number of faces with field values
4015: . uL - The field values at the left side of the face
4016: - uR - The field values at the right side of the face
4018: Level: developer
4020: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetFaceFields()`
4021: @*/
4022: PetscErrorCode DMPlexRestoreFaceFields(DM dm, PetscInt fStart, PetscInt fEnd, Vec locX, Vec locX_t, Vec faceGeometry, Vec cellGeometry, Vec locGrad, PetscInt *Nface, PetscScalar **uL, PetscScalar **uR)
4023: {
4024: PetscFunctionBegin;
4025: PetscCall(DMRestoreWorkArray(dm, 0, MPIU_SCALAR, uL));
4026: PetscCall(DMRestoreWorkArray(dm, 0, MPIU_SCALAR, uR));
4027: PetscFunctionReturn(PETSC_SUCCESS);
4028: }
4030: /*@C
4031: DMPlexGetFaceGeometry - Retrieve the geometric values for a chunk of faces
4033: Input Parameters:
4034: + dm - The `DM`
4035: . fStart - The first face to include
4036: . fEnd - The first face to exclude
4037: . faceGeometry - A local vector with face geometry
4038: - cellGeometry - A local vector with cell geometry
4040: Output Parameters:
4041: + Nface - The number of faces with field values
4042: . fgeom - The extract the face centroid and normal
4043: - vol - The cell volume
4045: Level: developer
4047: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetCellFields()`
4048: @*/
4049: PetscErrorCode DMPlexGetFaceGeometry(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, PetscInt *Nface, PetscFVFaceGeom **fgeom, PetscReal **vol)
4050: {
4051: DM dmFace, dmCell;
4052: DMLabel ghostLabel;
4053: const PetscScalar *facegeom, *cellgeom;
4054: PetscInt dim, numFaces = fEnd - fStart, iface, face;
4056: PetscFunctionBegin;
4060: PetscAssertPointer(fgeom, 7);
4061: PetscAssertPointer(vol, 8);
4062: PetscCall(DMGetDimension(dm, &dim));
4063: PetscCall(DMGetLabel(dm, "ghost", &ghostLabel));
4064: PetscCall(VecGetDM(faceGeometry, &dmFace));
4065: PetscCall(VecGetArrayRead(faceGeometry, &facegeom));
4066: PetscCall(VecGetDM(cellGeometry, &dmCell));
4067: PetscCall(VecGetArrayRead(cellGeometry, &cellgeom));
4068: PetscCall(PetscMalloc1(numFaces, fgeom));
4069: PetscCall(DMGetWorkArray(dm, numFaces * 2, MPIU_SCALAR, vol));
4070: for (face = fStart, iface = 0; face < fEnd; ++face) {
4071: const PetscInt *cells;
4072: PetscFVFaceGeom *fg;
4073: PetscFVCellGeom *cgL, *cgR;
4074: PetscFVFaceGeom *fgeoml = *fgeom;
4075: PetscReal *voll = *vol;
4076: PetscInt ghost, d, nchild, nsupp;
4078: PetscCall(DMLabelGetValue(ghostLabel, face, &ghost));
4079: PetscCall(DMPlexGetSupportSize(dm, face, &nsupp));
4080: PetscCall(DMPlexGetTreeChildren(dm, face, &nchild, NULL));
4081: if (ghost >= 0 || nsupp > 2 || nchild > 0) continue;
4082: PetscCall(DMPlexPointLocalRead(dmFace, face, facegeom, &fg));
4083: PetscCall(DMPlexGetSupport(dm, face, &cells));
4084: PetscCall(DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL));
4085: PetscCall(DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR));
4086: for (d = 0; d < dim; ++d) {
4087: fgeoml[iface].centroid[d] = fg->centroid[d];
4088: fgeoml[iface].normal[d] = fg->normal[d];
4089: }
4090: voll[iface * 2 + 0] = cgL->volume;
4091: voll[iface * 2 + 1] = cgR->volume;
4092: ++iface;
4093: }
4094: *Nface = iface;
4095: PetscCall(VecRestoreArrayRead(faceGeometry, &facegeom));
4096: PetscCall(VecRestoreArrayRead(cellGeometry, &cellgeom));
4097: PetscFunctionReturn(PETSC_SUCCESS);
4098: }
4100: /*@C
4101: DMPlexRestoreFaceGeometry - Restore the field values values for a chunk of faces
4103: Input Parameters:
4104: + dm - The `DM`
4105: . fStart - The first face to include
4106: . fEnd - The first face to exclude
4107: . faceGeometry - A local vector with face geometry
4108: - cellGeometry - A local vector with cell geometry
4110: Output Parameters:
4111: + Nface - The number of faces with field values
4112: . fgeom - The extract the face centroid and normal
4113: - vol - The cell volume
4115: Level: developer
4117: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetFaceFields()`
4118: @*/
4119: PetscErrorCode DMPlexRestoreFaceGeometry(DM dm, PetscInt fStart, PetscInt fEnd, Vec faceGeometry, Vec cellGeometry, PetscInt *Nface, PetscFVFaceGeom **fgeom, PetscReal **vol)
4120: {
4121: PetscFunctionBegin;
4122: PetscCall(PetscFree(*fgeom));
4123: PetscCall(DMRestoreWorkArray(dm, 0, MPIU_REAL, vol));
4124: PetscFunctionReturn(PETSC_SUCCESS);
4125: }
4127: PetscErrorCode DMSNESGetFEGeom(DMField coordField, IS pointIS, PetscQuadrature quad, PetscBool faceData, PetscFEGeom **geom)
4128: {
4129: char composeStr[33] = {0};
4130: PetscObjectId id;
4131: PetscContainer container;
4133: PetscFunctionBegin;
4134: PetscCall(PetscObjectGetId((PetscObject)quad, &id));
4135: PetscCall(PetscSNPrintf(composeStr, 32, "DMSNESGetFEGeom_%" PetscInt64_FMT "\n", id));
4136: PetscCall(PetscObjectQuery((PetscObject)pointIS, composeStr, (PetscObject *)&container));
4137: if (container) {
4138: PetscCall(PetscContainerGetPointer(container, (void **)geom));
4139: } else {
4140: PetscCall(DMFieldCreateFEGeom(coordField, pointIS, quad, faceData, geom));
4141: PetscCall(PetscContainerCreate(PETSC_COMM_SELF, &container));
4142: PetscCall(PetscContainerSetPointer(container, (void *)*geom));
4143: PetscCall(PetscContainerSetUserDestroy(container, PetscContainerUserDestroy_PetscFEGeom));
4144: PetscCall(PetscObjectCompose((PetscObject)pointIS, composeStr, (PetscObject)container));
4145: PetscCall(PetscContainerDestroy(&container));
4146: }
4147: PetscFunctionReturn(PETSC_SUCCESS);
4148: }
4150: PetscErrorCode DMSNESRestoreFEGeom(DMField coordField, IS pointIS, PetscQuadrature quad, PetscBool faceData, PetscFEGeom **geom)
4151: {
4152: PetscFunctionBegin;
4153: *geom = NULL;
4154: PetscFunctionReturn(PETSC_SUCCESS);
4155: }
4157: PetscErrorCode DMPlexComputeResidual_Patch_Internal(DM dm, PetscSection section, IS cellIS, PetscReal t, Vec locX, Vec locX_t, Vec locF, void *user)
4158: {
4159: DM_Plex *mesh = (DM_Plex *)dm->data;
4160: const char *name = "Residual";
4161: DM dmAux = NULL;
4162: DMLabel ghostLabel = NULL;
4163: PetscDS prob = NULL;
4164: PetscDS probAux = NULL;
4165: PetscBool useFEM = PETSC_FALSE;
4166: PetscBool isImplicit = (locX_t || t == PETSC_MIN_REAL) ? PETSC_TRUE : PETSC_FALSE;
4167: DMField coordField = NULL;
4168: Vec locA;
4169: PetscScalar *u = NULL, *u_t, *a, *uL = NULL, *uR = NULL;
4170: IS chunkIS;
4171: const PetscInt *cells;
4172: PetscInt cStart, cEnd, numCells;
4173: PetscInt Nf, f, totDim, totDimAux, numChunks, cellChunkSize, chunk, fStart, fEnd;
4174: PetscInt maxDegree = PETSC_MAX_INT;
4175: PetscFormKey key;
4176: PetscQuadrature affineQuad = NULL, *quads = NULL;
4177: PetscFEGeom *affineGeom = NULL, **geoms = NULL;
4179: PetscFunctionBegin;
4180: PetscCall(PetscLogEventBegin(DMPLEX_ResidualFEM, dm, 0, 0, 0));
4181: /* FEM+FVM */
4182: /* 1: Get sizes from dm and dmAux */
4183: PetscCall(DMGetLabel(dm, "ghost", &ghostLabel));
4184: PetscCall(DMGetDS(dm, &prob));
4185: PetscCall(PetscDSGetNumFields(prob, &Nf));
4186: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
4187: PetscCall(DMGetAuxiliaryVec(dm, NULL, 0, 0, &locA));
4188: if (locA) {
4189: PetscCall(VecGetDM(locA, &dmAux));
4190: PetscCall(DMGetDS(dmAux, &probAux));
4191: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
4192: }
4193: /* 2: Get geometric data */
4194: for (f = 0; f < Nf; ++f) {
4195: PetscObject obj;
4196: PetscClassId id;
4197: PetscBool fimp;
4199: PetscCall(PetscDSGetImplicit(prob, f, &fimp));
4200: if (isImplicit != fimp) continue;
4201: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
4202: PetscCall(PetscObjectGetClassId(obj, &id));
4203: if (id == PETSCFE_CLASSID) useFEM = PETSC_TRUE;
4204: PetscCheck(id != PETSCFV_CLASSID, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Use of FVM with PCPATCH not yet implemented");
4205: }
4206: if (useFEM) {
4207: PetscCall(DMGetCoordinateField(dm, &coordField));
4208: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
4209: if (maxDegree <= 1) {
4210: PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, &affineQuad));
4211: if (affineQuad) PetscCall(DMSNESGetFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &affineGeom));
4212: } else {
4213: PetscCall(PetscCalloc2(Nf, &quads, Nf, &geoms));
4214: for (f = 0; f < Nf; ++f) {
4215: PetscObject obj;
4216: PetscClassId id;
4217: PetscBool fimp;
4219: PetscCall(PetscDSGetImplicit(prob, f, &fimp));
4220: if (isImplicit != fimp) continue;
4221: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
4222: PetscCall(PetscObjectGetClassId(obj, &id));
4223: if (id == PETSCFE_CLASSID) {
4224: PetscFE fe = (PetscFE)obj;
4226: PetscCall(PetscFEGetQuadrature(fe, &quads[f]));
4227: PetscCall(PetscObjectReference((PetscObject)quads[f]));
4228: PetscCall(DMSNESGetFEGeom(coordField, cellIS, quads[f], PETSC_FALSE, &geoms[f]));
4229: }
4230: }
4231: }
4232: }
4233: /* Loop over chunks */
4234: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
4235: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
4236: if (useFEM) PetscCall(ISCreate(PETSC_COMM_SELF, &chunkIS));
4237: numCells = cEnd - cStart;
4238: numChunks = 1;
4239: cellChunkSize = numCells / numChunks;
4240: numChunks = PetscMin(1, numCells);
4241: key.label = NULL;
4242: key.value = 0;
4243: key.part = 0;
4244: for (chunk = 0; chunk < numChunks; ++chunk) {
4245: PetscScalar *elemVec, *fluxL = NULL, *fluxR = NULL;
4246: PetscReal *vol = NULL;
4247: PetscFVFaceGeom *fgeom = NULL;
4248: PetscInt cS = cStart + chunk * cellChunkSize, cE = PetscMin(cS + cellChunkSize, cEnd), numCells = cE - cS, c;
4249: PetscInt numFaces = 0;
4251: /* Extract field coefficients */
4252: if (useFEM) {
4253: PetscCall(ISGetPointSubrange(chunkIS, cS, cE, cells));
4254: PetscCall(DMPlexGetCellFields(dm, chunkIS, locX, locX_t, locA, &u, &u_t, &a));
4255: PetscCall(DMGetWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVec));
4256: PetscCall(PetscArrayzero(elemVec, numCells * totDim));
4257: }
4258: /* TODO We will interlace both our field coefficients (u, u_t, uL, uR, etc.) and our output (elemVec, fL, fR). I think this works */
4259: /* Loop over fields */
4260: for (f = 0; f < Nf; ++f) {
4261: PetscObject obj;
4262: PetscClassId id;
4263: PetscBool fimp;
4264: PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset;
4266: key.field = f;
4267: PetscCall(PetscDSGetImplicit(prob, f, &fimp));
4268: if (isImplicit != fimp) continue;
4269: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
4270: PetscCall(PetscObjectGetClassId(obj, &id));
4271: if (id == PETSCFE_CLASSID) {
4272: PetscFE fe = (PetscFE)obj;
4273: PetscFEGeom *geom = affineGeom ? affineGeom : geoms[f];
4274: PetscFEGeom *chunkGeom = NULL;
4275: PetscQuadrature quad = affineQuad ? affineQuad : quads[f];
4276: PetscInt Nq, Nb;
4278: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
4279: PetscCall(PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL));
4280: PetscCall(PetscFEGetDimension(fe, &Nb));
4281: blockSize = Nb;
4282: batchSize = numBlocks * blockSize;
4283: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
4284: numChunks = numCells / (numBatches * batchSize);
4285: Ne = numChunks * numBatches * batchSize;
4286: Nr = numCells % (numBatches * batchSize);
4287: offset = numCells - Nr;
4288: /* Integrate FE residual to get elemVec (need fields at quadrature points) */
4289: /* For FV, I think we use a P0 basis and the cell coefficients (for subdivided cells, we can tweak the basis tabulation to be the indicator function) */
4290: PetscCall(PetscFEGeomGetChunk(geom, 0, offset, &chunkGeom));
4291: PetscCall(PetscFEIntegrateResidual(prob, key, Ne, chunkGeom, u, u_t, probAux, a, t, elemVec));
4292: PetscCall(PetscFEGeomGetChunk(geom, offset, numCells, &chunkGeom));
4293: PetscCall(PetscFEIntegrateResidual(prob, key, Nr, chunkGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, &a[offset * totDimAux], t, &elemVec[offset * totDim]));
4294: PetscCall(PetscFEGeomRestoreChunk(geom, offset, numCells, &chunkGeom));
4295: } else if (id == PETSCFV_CLASSID) {
4296: PetscFV fv = (PetscFV)obj;
4298: Ne = numFaces;
4299: /* Riemann solve over faces (need fields at face centroids) */
4300: /* We need to evaluate FE fields at those coordinates */
4301: PetscCall(PetscFVIntegrateRHSFunction(fv, prob, f, Ne, fgeom, vol, uL, uR, fluxL, fluxR));
4302: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, f);
4303: }
4304: /* Loop over domain */
4305: if (useFEM) {
4306: /* Add elemVec to locX */
4307: for (c = cS; c < cE; ++c) {
4308: const PetscInt cell = cells ? cells[c] : c;
4309: const PetscInt cind = c - cStart;
4311: if (mesh->printFEM > 1) PetscCall(DMPrintCellVector(cell, name, totDim, &elemVec[cind * totDim]));
4312: if (ghostLabel) {
4313: PetscInt ghostVal;
4315: PetscCall(DMLabelGetValue(ghostLabel, cell, &ghostVal));
4316: if (ghostVal > 0) continue;
4317: }
4318: PetscCall(DMPlexVecSetClosure(dm, section, locF, cell, &elemVec[cind * totDim], ADD_ALL_VALUES));
4319: }
4320: }
4321: /* Handle time derivative */
4322: if (locX_t) {
4323: PetscScalar *x_t, *fa;
4325: PetscCall(VecGetArray(locF, &fa));
4326: PetscCall(VecGetArray(locX_t, &x_t));
4327: for (f = 0; f < Nf; ++f) {
4328: PetscFV fv;
4329: PetscObject obj;
4330: PetscClassId id;
4331: PetscInt pdim, d;
4333: PetscCall(PetscDSGetDiscretization(prob, f, &obj));
4334: PetscCall(PetscObjectGetClassId(obj, &id));
4335: if (id != PETSCFV_CLASSID) continue;
4336: fv = (PetscFV)obj;
4337: PetscCall(PetscFVGetNumComponents(fv, &pdim));
4338: for (c = cS; c < cE; ++c) {
4339: const PetscInt cell = cells ? cells[c] : c;
4340: PetscScalar *u_t, *r;
4342: if (ghostLabel) {
4343: PetscInt ghostVal;
4345: PetscCall(DMLabelGetValue(ghostLabel, cell, &ghostVal));
4346: if (ghostVal > 0) continue;
4347: }
4348: PetscCall(DMPlexPointLocalFieldRead(dm, cell, f, x_t, &u_t));
4349: PetscCall(DMPlexPointLocalFieldRef(dm, cell, f, fa, &r));
4350: for (d = 0; d < pdim; ++d) r[d] += u_t[d];
4351: }
4352: }
4353: PetscCall(VecRestoreArray(locX_t, &x_t));
4354: PetscCall(VecRestoreArray(locF, &fa));
4355: }
4356: if (useFEM) {
4357: PetscCall(DMPlexRestoreCellFields(dm, chunkIS, locX, locX_t, locA, &u, &u_t, &a));
4358: PetscCall(DMRestoreWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVec));
4359: }
4360: }
4361: if (useFEM) PetscCall(ISDestroy(&chunkIS));
4362: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
4363: /* TODO Could include boundary residual here (see DMPlexComputeResidual_Internal) */
4364: if (useFEM) {
4365: if (maxDegree <= 1) {
4366: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &affineGeom));
4367: PetscCall(PetscQuadratureDestroy(&affineQuad));
4368: } else {
4369: for (f = 0; f < Nf; ++f) {
4370: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, quads[f], PETSC_FALSE, &geoms[f]));
4371: PetscCall(PetscQuadratureDestroy(&quads[f]));
4372: }
4373: PetscCall(PetscFree2(quads, geoms));
4374: }
4375: }
4376: PetscCall(PetscLogEventEnd(DMPLEX_ResidualFEM, dm, 0, 0, 0));
4377: PetscFunctionReturn(PETSC_SUCCESS);
4378: }
4380: /*
4381: We always assemble JacP, and if the matrix is different from Jac and two different sets of point functions are provided, we also assemble Jac
4383: X - The local solution vector
4384: X_t - The local solution time derivative vector, or NULL
4385: */
4386: PetscErrorCode DMPlexComputeJacobian_Patch_Internal(DM dm, PetscSection section, PetscSection globalSection, IS cellIS, PetscReal t, PetscReal X_tShift, Vec X, Vec X_t, Mat Jac, Mat JacP, void *ctx)
4387: {
4388: DM_Plex *mesh = (DM_Plex *)dm->data;
4389: const char *name = "Jacobian", *nameP = "JacobianPre";
4390: DM dmAux = NULL;
4391: PetscDS prob, probAux = NULL;
4392: PetscSection sectionAux = NULL;
4393: Vec A;
4394: DMField coordField;
4395: PetscFEGeom *cgeomFEM;
4396: PetscQuadrature qGeom = NULL;
4397: Mat J = Jac, JP = JacP;
4398: PetscScalar *work, *u = NULL, *u_t = NULL, *a = NULL, *elemMat = NULL, *elemMatP = NULL, *elemMatD = NULL;
4399: PetscBool hasJac, hasPrec, hasDyn, assembleJac, *isFE, hasFV = PETSC_FALSE;
4400: const PetscInt *cells;
4401: PetscFormKey key;
4402: PetscInt Nf, fieldI, fieldJ, maxDegree, numCells, cStart, cEnd, numChunks, chunkSize, chunk, totDim, totDimAux = 0, sz, wsz, off = 0, offCell = 0;
4404: PetscFunctionBegin;
4405: PetscCall(ISGetLocalSize(cellIS, &numCells));
4406: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
4407: PetscCall(PetscLogEventBegin(DMPLEX_JacobianFEM, dm, 0, 0, 0));
4408: PetscCall(DMGetDS(dm, &prob));
4409: PetscCall(DMGetAuxiliaryVec(dm, NULL, 0, 0, &A));
4410: if (A) {
4411: PetscCall(VecGetDM(A, &dmAux));
4412: PetscCall(DMGetLocalSection(dmAux, §ionAux));
4413: PetscCall(DMGetDS(dmAux, &probAux));
4414: }
4415: /* Get flags */
4416: PetscCall(PetscDSGetNumFields(prob, &Nf));
4417: PetscCall(DMGetWorkArray(dm, Nf, MPIU_BOOL, &isFE));
4418: for (fieldI = 0; fieldI < Nf; ++fieldI) {
4419: PetscObject disc;
4420: PetscClassId id;
4421: PetscCall(PetscDSGetDiscretization(prob, fieldI, &disc));
4422: PetscCall(PetscObjectGetClassId(disc, &id));
4423: if (id == PETSCFE_CLASSID) {
4424: isFE[fieldI] = PETSC_TRUE;
4425: } else if (id == PETSCFV_CLASSID) {
4426: hasFV = PETSC_TRUE;
4427: isFE[fieldI] = PETSC_FALSE;
4428: }
4429: }
4430: PetscCall(PetscDSHasJacobian(prob, &hasJac));
4431: PetscCall(PetscDSHasJacobianPreconditioner(prob, &hasPrec));
4432: PetscCall(PetscDSHasDynamicJacobian(prob, &hasDyn));
4433: assembleJac = hasJac && hasPrec && (Jac != JacP) ? PETSC_TRUE : PETSC_FALSE;
4434: hasDyn = hasDyn && (X_tShift != 0.0) ? PETSC_TRUE : PETSC_FALSE;
4435: if (hasFV) PetscCall(MatSetOption(JP, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE)); /* No allocated space for FV stuff, so ignore the zero entries */
4436: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
4437: if (probAux) PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
4438: /* Compute batch sizes */
4439: if (isFE[0]) {
4440: PetscFE fe;
4441: PetscQuadrature q;
4442: PetscInt numQuadPoints, numBatches, batchSize, numBlocks, blockSize, Nb;
4444: PetscCall(PetscDSGetDiscretization(prob, 0, (PetscObject *)&fe));
4445: PetscCall(PetscFEGetQuadrature(fe, &q));
4446: PetscCall(PetscQuadratureGetData(q, NULL, NULL, &numQuadPoints, NULL, NULL));
4447: PetscCall(PetscFEGetDimension(fe, &Nb));
4448: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
4449: blockSize = Nb * numQuadPoints;
4450: batchSize = numBlocks * blockSize;
4451: chunkSize = numBatches * batchSize;
4452: numChunks = numCells / chunkSize + numCells % chunkSize;
4453: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
4454: } else {
4455: chunkSize = numCells;
4456: numChunks = 1;
4457: }
4458: /* Get work space */
4459: wsz = (((X ? 1 : 0) + (X_t ? 1 : 0) + (dmAux ? 1 : 0)) * totDim + ((hasJac ? 1 : 0) + (hasPrec ? 1 : 0) + (hasDyn ? 1 : 0)) * totDim * totDim) * chunkSize;
4460: PetscCall(DMGetWorkArray(dm, wsz, MPIU_SCALAR, &work));
4461: PetscCall(PetscArrayzero(work, wsz));
4462: off = 0;
4463: u = X ? (sz = chunkSize * totDim, off += sz, work + off - sz) : NULL;
4464: u_t = X_t ? (sz = chunkSize * totDim, off += sz, work + off - sz) : NULL;
4465: a = dmAux ? (sz = chunkSize * totDimAux, off += sz, work + off - sz) : NULL;
4466: elemMat = hasJac ? (sz = chunkSize * totDim * totDim, off += sz, work + off - sz) : NULL;
4467: elemMatP = hasPrec ? (sz = chunkSize * totDim * totDim, off += sz, work + off - sz) : NULL;
4468: elemMatD = hasDyn ? (sz = chunkSize * totDim * totDim, off += sz, work + off - sz) : NULL;
4469: PetscCheck(off == wsz, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error is workspace size %" PetscInt_FMT " should be %" PetscInt_FMT, off, wsz);
4470: /* Setup geometry */
4471: PetscCall(DMGetCoordinateField(dm, &coordField));
4472: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
4473: if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, &qGeom));
4474: if (!qGeom) {
4475: PetscFE fe;
4477: PetscCall(PetscDSGetDiscretization(prob, 0, (PetscObject *)&fe));
4478: PetscCall(PetscFEGetQuadrature(fe, &qGeom));
4479: PetscCall(PetscObjectReference((PetscObject)qGeom));
4480: }
4481: PetscCall(DMSNESGetFEGeom(coordField, cellIS, qGeom, PETSC_FALSE, &cgeomFEM));
4482: /* Compute volume integrals */
4483: if (assembleJac) PetscCall(MatZeroEntries(J));
4484: PetscCall(MatZeroEntries(JP));
4485: key.label = NULL;
4486: key.value = 0;
4487: key.part = 0;
4488: for (chunk = 0; chunk < numChunks; ++chunk, offCell += chunkSize) {
4489: const PetscInt Ncell = PetscMin(chunkSize, numCells - offCell);
4490: PetscInt c;
4492: /* Extract values */
4493: for (c = 0; c < Ncell; ++c) {
4494: const PetscInt cell = cells ? cells[c + offCell] : c + offCell;
4495: PetscScalar *x = NULL, *x_t = NULL;
4496: PetscInt i;
4498: if (X) {
4499: PetscCall(DMPlexVecGetClosure(dm, section, X, cell, NULL, &x));
4500: for (i = 0; i < totDim; ++i) u[c * totDim + i] = x[i];
4501: PetscCall(DMPlexVecRestoreClosure(dm, section, X, cell, NULL, &x));
4502: }
4503: if (X_t) {
4504: PetscCall(DMPlexVecGetClosure(dm, section, X_t, cell, NULL, &x_t));
4505: for (i = 0; i < totDim; ++i) u_t[c * totDim + i] = x_t[i];
4506: PetscCall(DMPlexVecRestoreClosure(dm, section, X_t, cell, NULL, &x_t));
4507: }
4508: if (dmAux) {
4509: PetscCall(DMPlexVecGetClosure(dmAux, sectionAux, A, cell, NULL, &x));
4510: for (i = 0; i < totDimAux; ++i) a[c * totDimAux + i] = x[i];
4511: PetscCall(DMPlexVecRestoreClosure(dmAux, sectionAux, A, cell, NULL, &x));
4512: }
4513: }
4514: for (fieldI = 0; fieldI < Nf; ++fieldI) {
4515: PetscFE fe;
4516: PetscCall(PetscDSGetDiscretization(prob, fieldI, (PetscObject *)&fe));
4517: for (fieldJ = 0; fieldJ < Nf; ++fieldJ) {
4518: key.field = fieldI * Nf + fieldJ;
4519: if (hasJac) PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN, key, Ncell, cgeomFEM, u, u_t, probAux, a, t, X_tShift, elemMat));
4520: if (hasPrec) PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_PRE, key, Ncell, cgeomFEM, u, u_t, probAux, a, t, X_tShift, elemMatP));
4521: if (hasDyn) PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_DYN, key, Ncell, cgeomFEM, u, u_t, probAux, a, t, X_tShift, elemMatD));
4522: }
4523: /* For finite volume, add the identity */
4524: if (!isFE[fieldI]) {
4525: PetscFV fv;
4526: PetscInt eOffset = 0, Nc, fc, foff;
4528: PetscCall(PetscDSGetFieldOffset(prob, fieldI, &foff));
4529: PetscCall(PetscDSGetDiscretization(prob, fieldI, (PetscObject *)&fv));
4530: PetscCall(PetscFVGetNumComponents(fv, &Nc));
4531: for (c = 0; c < chunkSize; ++c, eOffset += totDim * totDim) {
4532: for (fc = 0; fc < Nc; ++fc) {
4533: const PetscInt i = foff + fc;
4534: if (hasJac) elemMat[eOffset + i * totDim + i] = 1.0;
4535: if (hasPrec) elemMatP[eOffset + i * totDim + i] = 1.0;
4536: }
4537: }
4538: }
4539: }
4540: /* Add contribution from X_t */
4541: if (hasDyn) {
4542: for (c = 0; c < chunkSize * totDim * totDim; ++c) elemMat[c] += X_tShift * elemMatD[c];
4543: }
4544: /* Insert values into matrix */
4545: for (c = 0; c < Ncell; ++c) {
4546: const PetscInt cell = cells ? cells[c + offCell] : c + offCell;
4547: if (mesh->printFEM > 1) {
4548: if (hasJac) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMat[(c - cStart) * totDim * totDim]));
4549: if (hasPrec) PetscCall(DMPrintCellMatrix(cell, nameP, totDim, totDim, &elemMatP[(c - cStart) * totDim * totDim]));
4550: }
4551: if (assembleJac) PetscCall(DMPlexMatSetClosure_Internal(dm, section, globalSection, mesh->useMatClPerm, Jac, cell, &elemMat[(c - cStart) * totDim * totDim], ADD_VALUES));
4552: PetscCall(DMPlexMatSetClosure_Internal(dm, section, globalSection, mesh->useMatClPerm, JP, cell, &elemMat[(c - cStart) * totDim * totDim], ADD_VALUES));
4553: }
4554: }
4555: /* Cleanup */
4556: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, qGeom, PETSC_FALSE, &cgeomFEM));
4557: PetscCall(PetscQuadratureDestroy(&qGeom));
4558: if (hasFV) PetscCall(MatSetOption(JacP, MAT_IGNORE_ZERO_ENTRIES, PETSC_FALSE));
4559: PetscCall(DMRestoreWorkArray(dm, Nf, MPIU_BOOL, &isFE));
4560: PetscCall(DMRestoreWorkArray(dm, ((1 + (X_t ? 1 : 0) + (dmAux ? 1 : 0)) * totDim + ((hasJac ? 1 : 0) + (hasPrec ? 1 : 0) + (hasDyn ? 1 : 0)) * totDim * totDim) * chunkSize, MPIU_SCALAR, &work));
4561: /* Compute boundary integrals */
4562: /* PetscCall(DMPlexComputeBdJacobian_Internal(dm, X, X_t, t, X_tShift, Jac, JacP, ctx)); */
4563: /* Assemble matrix */
4564: if (assembleJac) {
4565: PetscCall(MatAssemblyBegin(Jac, MAT_FINAL_ASSEMBLY));
4566: PetscCall(MatAssemblyEnd(Jac, MAT_FINAL_ASSEMBLY));
4567: }
4568: PetscCall(MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY));
4569: PetscCall(MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY));
4570: PetscCall(PetscLogEventEnd(DMPLEX_JacobianFEM, dm, 0, 0, 0));
4571: PetscFunctionReturn(PETSC_SUCCESS);
4572: }
4574: /******** FEM Assembly Function ********/
4576: static PetscErrorCode DMConvertPlex_Internal(DM dm, DM *plex, PetscBool copy)
4577: {
4578: PetscBool isPlex;
4580: PetscFunctionBegin;
4581: PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMPLEX, &isPlex));
4582: if (isPlex) {
4583: *plex = dm;
4584: PetscCall(PetscObjectReference((PetscObject)dm));
4585: } else {
4586: PetscCall(PetscObjectQuery((PetscObject)dm, "dm_plex", (PetscObject *)plex));
4587: if (!*plex) {
4588: PetscCall(DMConvert(dm, DMPLEX, plex));
4589: PetscCall(PetscObjectCompose((PetscObject)dm, "dm_plex", (PetscObject)*plex));
4590: } else {
4591: PetscCall(PetscObjectReference((PetscObject)*plex));
4592: }
4593: if (copy) PetscCall(DMCopyAuxiliaryVec(dm, *plex));
4594: }
4595: PetscFunctionReturn(PETSC_SUCCESS);
4596: }
4598: /*@
4599: DMPlexGetGeometryFVM - Return precomputed geometric data
4601: Collective
4603: Input Parameter:
4604: . dm - The `DM`
4606: Output Parameters:
4607: + facegeom - The values precomputed from face geometry
4608: . cellgeom - The values precomputed from cell geometry
4609: - minRadius - The minimum radius over the mesh of an inscribed sphere in a cell
4611: Level: developer
4613: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMTSSetRHSFunctionLocal()`
4614: @*/
4615: PetscErrorCode DMPlexGetGeometryFVM(DM dm, Vec *facegeom, Vec *cellgeom, PetscReal *minRadius)
4616: {
4617: DM plex;
4619: PetscFunctionBegin;
4621: PetscCall(DMConvertPlex_Internal(dm, &plex, PETSC_TRUE));
4622: PetscCall(DMPlexGetDataFVM(plex, NULL, cellgeom, facegeom, NULL));
4623: if (minRadius) PetscCall(DMPlexGetMinRadius(plex, minRadius));
4624: PetscCall(DMDestroy(&plex));
4625: PetscFunctionReturn(PETSC_SUCCESS);
4626: }
4628: /*@
4629: DMPlexGetGradientDM - Return gradient data layout
4631: Collective
4633: Input Parameters:
4634: + dm - The `DM`
4635: - fv - The `PetscFV`
4637: Output Parameter:
4638: . dmGrad - The layout for gradient values
4640: Level: developer
4642: .seealso: [](ch_unstructured), `DM`, `DMPLEX`, `DMPlexGetGeometryFVM()`
4643: @*/
4644: PetscErrorCode DMPlexGetGradientDM(DM dm, PetscFV fv, DM *dmGrad)
4645: {
4646: DM plex;
4647: PetscBool computeGradients;
4649: PetscFunctionBegin;
4652: PetscAssertPointer(dmGrad, 3);
4653: PetscCall(PetscFVGetComputeGradients(fv, &computeGradients));
4654: if (!computeGradients) {
4655: *dmGrad = NULL;
4656: PetscFunctionReturn(PETSC_SUCCESS);
4657: }
4658: PetscCall(DMConvertPlex_Internal(dm, &plex, PETSC_TRUE));
4659: PetscCall(DMPlexGetDataFVM(plex, fv, NULL, NULL, dmGrad));
4660: PetscCall(DMDestroy(&plex));
4661: PetscFunctionReturn(PETSC_SUCCESS);
4662: }
4664: static PetscErrorCode DMPlexComputeBdResidual_Single_Internal(DM dm, PetscReal t, PetscWeakForm wf, PetscFormKey key, Vec locX, Vec locX_t, Vec locF, DMField coordField, IS facetIS)
4665: {
4666: DM_Plex *mesh = (DM_Plex *)dm->data;
4667: DM plex = NULL, plexA = NULL;
4668: const char *name = "BdResidual";
4669: DMEnclosureType encAux;
4670: PetscDS prob, probAux = NULL;
4671: PetscSection section, sectionAux = NULL;
4672: Vec locA = NULL;
4673: PetscScalar *u = NULL, *u_t = NULL, *a = NULL, *elemVec = NULL;
4674: PetscInt totDim, totDimAux = 0;
4676: PetscFunctionBegin;
4677: PetscCall(DMConvert(dm, DMPLEX, &plex));
4678: PetscCall(DMGetLocalSection(dm, §ion));
4679: PetscCall(DMGetDS(dm, &prob));
4680: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
4681: PetscCall(DMGetAuxiliaryVec(dm, key.label, key.value, key.part, &locA));
4682: if (locA) {
4683: DM dmAux;
4685: PetscCall(VecGetDM(locA, &dmAux));
4686: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
4687: PetscCall(DMConvert(dmAux, DMPLEX, &plexA));
4688: PetscCall(DMGetDS(plexA, &probAux));
4689: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
4690: PetscCall(DMGetLocalSection(plexA, §ionAux));
4691: }
4692: {
4693: PetscFEGeom *fgeom;
4694: PetscInt maxDegree;
4695: PetscQuadrature qGeom = NULL;
4696: IS pointIS;
4697: const PetscInt *points;
4698: PetscInt numFaces, face, Nq;
4700: PetscCall(DMLabelGetStratumIS(key.label, key.value, &pointIS));
4701: if (!pointIS) goto end; /* No points with that id on this process */
4702: {
4703: IS isectIS;
4705: /* TODO: Special cases of ISIntersect where it is quick to check a priori if one is a superset of the other */
4706: PetscCall(ISIntersect_Caching_Internal(facetIS, pointIS, &isectIS));
4707: PetscCall(ISDestroy(&pointIS));
4708: pointIS = isectIS;
4709: }
4710: PetscCall(ISGetLocalSize(pointIS, &numFaces));
4711: PetscCall(ISGetIndices(pointIS, &points));
4712: PetscCall(PetscMalloc4(numFaces * totDim, &u, locX_t ? numFaces * totDim : 0, &u_t, numFaces * totDim, &elemVec, locA ? numFaces * totDimAux : 0, &a));
4713: PetscCall(DMFieldGetDegree(coordField, pointIS, NULL, &maxDegree));
4714: if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, pointIS, &qGeom));
4715: if (!qGeom) {
4716: PetscFE fe;
4718: PetscCall(PetscDSGetDiscretization(prob, key.field, (PetscObject *)&fe));
4719: PetscCall(PetscFEGetFaceQuadrature(fe, &qGeom));
4720: PetscCall(PetscObjectReference((PetscObject)qGeom));
4721: }
4722: PetscCall(PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL));
4723: PetscCall(DMSNESGetFEGeom(coordField, pointIS, qGeom, PETSC_TRUE, &fgeom));
4724: for (face = 0; face < numFaces; ++face) {
4725: const PetscInt point = points[face], *support;
4726: PetscScalar *x = NULL;
4727: PetscInt i;
4729: PetscCall(DMPlexGetSupport(dm, point, &support));
4730: PetscCall(DMPlexVecGetClosure(plex, section, locX, support[0], NULL, &x));
4731: for (i = 0; i < totDim; ++i) u[face * totDim + i] = x[i];
4732: PetscCall(DMPlexVecRestoreClosure(plex, section, locX, support[0], NULL, &x));
4733: if (locX_t) {
4734: PetscCall(DMPlexVecGetClosure(plex, section, locX_t, support[0], NULL, &x));
4735: for (i = 0; i < totDim; ++i) u_t[face * totDim + i] = x[i];
4736: PetscCall(DMPlexVecRestoreClosure(plex, section, locX_t, support[0], NULL, &x));
4737: }
4738: if (locA) {
4739: PetscInt subp;
4741: PetscCall(DMGetEnclosurePoint(plexA, dm, encAux, support[0], &subp));
4742: PetscCall(DMPlexVecGetClosure(plexA, sectionAux, locA, subp, NULL, &x));
4743: for (i = 0; i < totDimAux; ++i) a[face * totDimAux + i] = x[i];
4744: PetscCall(DMPlexVecRestoreClosure(plexA, sectionAux, locA, subp, NULL, &x));
4745: }
4746: }
4747: PetscCall(PetscArrayzero(elemVec, numFaces * totDim));
4748: {
4749: PetscFE fe;
4750: PetscInt Nb;
4751: PetscFEGeom *chunkGeom = NULL;
4752: /* Conforming batches */
4753: PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize;
4754: /* Remainder */
4755: PetscInt Nr, offset;
4757: PetscCall(PetscDSGetDiscretization(prob, key.field, (PetscObject *)&fe));
4758: PetscCall(PetscFEGetDimension(fe, &Nb));
4759: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
4760: /* TODO: documentation is unclear about what is going on with these numbers: how should Nb / Nq factor in ? */
4761: blockSize = Nb;
4762: batchSize = numBlocks * blockSize;
4763: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
4764: numChunks = numFaces / (numBatches * batchSize);
4765: Ne = numChunks * numBatches * batchSize;
4766: Nr = numFaces % (numBatches * batchSize);
4767: offset = numFaces - Nr;
4768: PetscCall(PetscFEGeomGetChunk(fgeom, 0, offset, &chunkGeom));
4769: PetscCall(PetscFEIntegrateBdResidual(prob, wf, key, Ne, chunkGeom, u, u_t, probAux, a, t, elemVec));
4770: PetscCall(PetscFEGeomRestoreChunk(fgeom, 0, offset, &chunkGeom));
4771: PetscCall(PetscFEGeomGetChunk(fgeom, offset, numFaces, &chunkGeom));
4772: PetscCall(PetscFEIntegrateBdResidual(prob, wf, key, Nr, chunkGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, &elemVec[offset * totDim]));
4773: PetscCall(PetscFEGeomRestoreChunk(fgeom, offset, numFaces, &chunkGeom));
4774: }
4775: for (face = 0; face < numFaces; ++face) {
4776: const PetscInt point = points[face], *support;
4778: if (mesh->printFEM > 1) PetscCall(DMPrintCellVector(point, name, totDim, &elemVec[face * totDim]));
4779: PetscCall(DMPlexGetSupport(plex, point, &support));
4780: PetscCall(DMPlexVecSetClosure(plex, NULL, locF, support[0], &elemVec[face * totDim], ADD_ALL_VALUES));
4781: }
4782: PetscCall(DMSNESRestoreFEGeom(coordField, pointIS, qGeom, PETSC_TRUE, &fgeom));
4783: PetscCall(PetscQuadratureDestroy(&qGeom));
4784: PetscCall(ISRestoreIndices(pointIS, &points));
4785: PetscCall(ISDestroy(&pointIS));
4786: PetscCall(PetscFree4(u, u_t, elemVec, a));
4787: }
4788: end:
4789: if (mesh->printFEM) {
4790: PetscSection s;
4791: Vec locFbc;
4792: PetscInt pStart, pEnd, maxDof;
4793: PetscScalar *zeroes;
4795: PetscCall(DMGetLocalSection(dm, &s));
4796: PetscCall(VecDuplicate(locF, &locFbc));
4797: PetscCall(VecCopy(locF, locFbc));
4798: PetscCall(PetscSectionGetChart(s, &pStart, &pEnd));
4799: PetscCall(PetscSectionGetMaxDof(s, &maxDof));
4800: PetscCall(PetscCalloc1(maxDof, &zeroes));
4801: for (PetscInt p = pStart; p < pEnd; p++) PetscCall(VecSetValuesSection(locFbc, s, p, zeroes, INSERT_BC_VALUES));
4802: PetscCall(PetscFree(zeroes));
4803: PetscCall(DMPrintLocalVec(dm, name, mesh->printTol, locFbc));
4804: PetscCall(VecDestroy(&locFbc));
4805: }
4806: PetscCall(DMDestroy(&plex));
4807: PetscCall(DMDestroy(&plexA));
4808: PetscFunctionReturn(PETSC_SUCCESS);
4809: }
4811: PetscErrorCode DMPlexComputeBdResidualSingle(DM dm, PetscReal t, PetscWeakForm wf, PetscFormKey key, Vec locX, Vec locX_t, Vec locF)
4812: {
4813: DMField coordField;
4814: DMLabel depthLabel;
4815: IS facetIS;
4816: PetscInt dim;
4818: PetscFunctionBegin;
4819: PetscCall(DMGetDimension(dm, &dim));
4820: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
4821: PetscCall(DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS));
4822: PetscCall(DMGetCoordinateField(dm, &coordField));
4823: PetscCall(DMPlexComputeBdResidual_Single_Internal(dm, t, wf, key, locX, locX_t, locF, coordField, facetIS));
4824: PetscCall(ISDestroy(&facetIS));
4825: PetscFunctionReturn(PETSC_SUCCESS);
4826: }
4828: static PetscErrorCode DMPlexComputeBdResidual_Internal(DM dm, Vec locX, Vec locX_t, PetscReal t, Vec locF, void *user)
4829: {
4830: PetscDS prob;
4831: PetscInt numBd, bd;
4832: DMField coordField = NULL;
4833: IS facetIS = NULL;
4834: DMLabel depthLabel;
4835: PetscInt dim;
4837: PetscFunctionBegin;
4838: PetscCall(DMGetDS(dm, &prob));
4839: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
4840: PetscCall(DMGetDimension(dm, &dim));
4841: PetscCall(DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS));
4842: PetscCall(PetscDSGetNumBoundary(prob, &numBd));
4843: for (bd = 0; bd < numBd; ++bd) {
4844: PetscWeakForm wf;
4845: DMBoundaryConditionType type;
4846: DMLabel label;
4847: const PetscInt *values;
4848: PetscInt field, numValues, v;
4849: PetscObject obj;
4850: PetscClassId id;
4851: PetscFormKey key;
4853: PetscCall(PetscDSGetBoundary(prob, bd, &wf, &type, NULL, &label, &numValues, &values, &field, NULL, NULL, NULL, NULL, NULL));
4854: if (type & DM_BC_ESSENTIAL) continue;
4855: PetscCall(PetscDSGetDiscretization(prob, field, &obj));
4856: PetscCall(PetscObjectGetClassId(obj, &id));
4857: if (id != PETSCFE_CLASSID) continue;
4858: if (!facetIS) {
4859: DMLabel depthLabel;
4860: PetscInt dim;
4862: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
4863: PetscCall(DMGetDimension(dm, &dim));
4864: PetscCall(DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS));
4865: }
4866: PetscCall(DMGetCoordinateField(dm, &coordField));
4867: for (v = 0; v < numValues; ++v) {
4868: key.label = label;
4869: key.value = values[v];
4870: key.field = field;
4871: key.part = 0;
4872: PetscCall(DMPlexComputeBdResidual_Single_Internal(dm, t, wf, key, locX, locX_t, locF, coordField, facetIS));
4873: }
4874: }
4875: PetscCall(ISDestroy(&facetIS));
4876: PetscFunctionReturn(PETSC_SUCCESS);
4877: }
4879: PetscErrorCode DMPlexComputeResidual_Internal(DM dm, PetscFormKey key, IS cellIS, PetscReal time, Vec locX, Vec locX_t, PetscReal t, Vec locF, void *user)
4880: {
4881: DM_Plex *mesh = (DM_Plex *)dm->data;
4882: const char *name = "Residual";
4883: DM dmAux = NULL;
4884: DM dmGrad = NULL;
4885: DMLabel ghostLabel = NULL;
4886: PetscDS ds = NULL;
4887: PetscDS dsAux = NULL;
4888: PetscSection section = NULL;
4889: PetscBool useFEM = PETSC_FALSE;
4890: PetscBool useFVM = PETSC_FALSE;
4891: PetscBool isImplicit = (locX_t || time == PETSC_MIN_REAL) ? PETSC_TRUE : PETSC_FALSE;
4892: PetscFV fvm = NULL;
4893: DMField coordField = NULL;
4894: Vec locA, cellGeometryFVM = NULL, faceGeometryFVM = NULL, locGrad = NULL;
4895: PetscScalar *u = NULL, *u_t, *a, *uL, *uR;
4896: IS chunkIS;
4897: const PetscInt *cells;
4898: PetscInt cStart, cEnd, numCells;
4899: PetscInt Nf, f, totDim, totDimAux, numChunks, cellChunkSize, faceChunkSize, chunk, fStart, fEnd;
4900: PetscInt maxDegree = PETSC_MAX_INT;
4901: PetscQuadrature affineQuad = NULL, *quads = NULL;
4902: PetscFEGeom *affineGeom = NULL, **geoms = NULL;
4904: PetscFunctionBegin;
4905: PetscCall(PetscLogEventBegin(DMPLEX_ResidualFEM, dm, 0, 0, 0));
4906: if (!cellIS) goto end;
4907: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
4908: if (cStart >= cEnd) goto end;
4909: /* TODO The places where we have to use isFE are probably the member functions for the PetscDisc class */
4910: /* TODO The FVM geometry is over-manipulated. Make the precalc functions return exactly what we need */
4911: /* FEM+FVM */
4912: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
4913: /* 1: Get sizes from dm and dmAux */
4914: PetscCall(DMGetLocalSection(dm, §ion));
4915: PetscCall(DMGetLabel(dm, "ghost", &ghostLabel));
4916: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &ds, NULL));
4917: PetscCall(PetscDSGetNumFields(ds, &Nf));
4918: PetscCall(PetscDSGetTotalDimension(ds, &totDim));
4919: PetscCall(DMGetAuxiliaryVec(dm, key.label, key.value, key.part, &locA));
4920: if (locA) {
4921: PetscInt subcell;
4922: PetscCall(VecGetDM(locA, &dmAux));
4923: PetscCall(DMGetEnclosurePoint(dmAux, dm, DM_ENC_UNKNOWN, cells ? cells[cStart] : cStart, &subcell));
4924: PetscCall(DMGetCellDS(dmAux, subcell, &dsAux, NULL));
4925: PetscCall(PetscDSGetTotalDimension(dsAux, &totDimAux));
4926: }
4927: /* 2: Get geometric data */
4928: for (f = 0; f < Nf; ++f) {
4929: PetscObject obj;
4930: PetscClassId id;
4931: PetscBool fimp;
4933: PetscCall(PetscDSGetImplicit(ds, f, &fimp));
4934: if (isImplicit != fimp) continue;
4935: PetscCall(PetscDSGetDiscretization(ds, f, &obj));
4936: PetscCall(PetscObjectGetClassId(obj, &id));
4937: if (id == PETSCFE_CLASSID) useFEM = PETSC_TRUE;
4938: if (id == PETSCFV_CLASSID) {
4939: useFVM = PETSC_TRUE;
4940: fvm = (PetscFV)obj;
4941: }
4942: }
4943: if (useFEM) {
4944: PetscCall(DMGetCoordinateField(dm, &coordField));
4945: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
4946: if (maxDegree <= 1) {
4947: PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, &affineQuad));
4948: if (affineQuad) PetscCall(DMSNESGetFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &affineGeom));
4949: } else {
4950: PetscCall(PetscCalloc2(Nf, &quads, Nf, &geoms));
4951: for (f = 0; f < Nf; ++f) {
4952: PetscObject obj;
4953: PetscClassId id;
4954: PetscBool fimp;
4956: PetscCall(PetscDSGetImplicit(ds, f, &fimp));
4957: if (isImplicit != fimp) continue;
4958: PetscCall(PetscDSGetDiscretization(ds, f, &obj));
4959: PetscCall(PetscObjectGetClassId(obj, &id));
4960: if (id == PETSCFE_CLASSID) {
4961: PetscFE fe = (PetscFE)obj;
4963: PetscCall(PetscFEGetQuadrature(fe, &quads[f]));
4964: PetscCall(PetscObjectReference((PetscObject)quads[f]));
4965: PetscCall(DMSNESGetFEGeom(coordField, cellIS, quads[f], PETSC_FALSE, &geoms[f]));
4966: }
4967: }
4968: }
4969: }
4970: // Handle non-essential (e.g. outflow) boundary values
4971: if (useFVM) {
4972: PetscCall(DMPlexInsertBoundaryValuesFVM(dm, fvm, locX, time, &locGrad));
4973: PetscCall(DMPlexGetGeometryFVM(dm, &faceGeometryFVM, &cellGeometryFVM, NULL));
4974: PetscCall(DMPlexGetGradientDM(dm, fvm, &dmGrad));
4975: }
4976: /* Loop over chunks */
4977: if (useFEM) PetscCall(ISCreate(PETSC_COMM_SELF, &chunkIS));
4978: numCells = cEnd - cStart;
4979: numChunks = 1;
4980: cellChunkSize = numCells / numChunks;
4981: faceChunkSize = (fEnd - fStart) / numChunks;
4982: numChunks = PetscMin(1, numCells);
4983: for (chunk = 0; chunk < numChunks; ++chunk) {
4984: PetscScalar *elemVec, *fluxL, *fluxR;
4985: PetscReal *vol;
4986: PetscFVFaceGeom *fgeom;
4987: PetscInt cS = cStart + chunk * cellChunkSize, cE = PetscMin(cS + cellChunkSize, cEnd), numCells = cE - cS, c;
4988: PetscInt fS = fStart + chunk * faceChunkSize, fE = PetscMin(fS + faceChunkSize, fEnd), numFaces = 0, face;
4990: /* Extract field coefficients */
4991: if (useFEM) {
4992: PetscCall(ISGetPointSubrange(chunkIS, cS, cE, cells));
4993: PetscCall(DMPlexGetCellFields(dm, chunkIS, locX, locX_t, locA, &u, &u_t, &a));
4994: PetscCall(DMGetWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVec));
4995: PetscCall(PetscArrayzero(elemVec, numCells * totDim));
4996: }
4997: if (useFVM) {
4998: PetscCall(DMPlexGetFaceFields(dm, fS, fE, locX, locX_t, faceGeometryFVM, cellGeometryFVM, locGrad, &numFaces, &uL, &uR));
4999: PetscCall(DMPlexGetFaceGeometry(dm, fS, fE, faceGeometryFVM, cellGeometryFVM, &numFaces, &fgeom, &vol));
5000: PetscCall(DMGetWorkArray(dm, numFaces * totDim, MPIU_SCALAR, &fluxL));
5001: PetscCall(DMGetWorkArray(dm, numFaces * totDim, MPIU_SCALAR, &fluxR));
5002: PetscCall(PetscArrayzero(fluxL, numFaces * totDim));
5003: PetscCall(PetscArrayzero(fluxR, numFaces * totDim));
5004: }
5005: /* TODO We will interlace both our field coefficients (u, u_t, uL, uR, etc.) and our output (elemVec, fL, fR). I think this works */
5006: /* Loop over fields */
5007: for (f = 0; f < Nf; ++f) {
5008: PetscObject obj;
5009: PetscClassId id;
5010: PetscBool fimp;
5011: PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset;
5013: key.field = f;
5014: PetscCall(PetscDSGetImplicit(ds, f, &fimp));
5015: if (isImplicit != fimp) continue;
5016: PetscCall(PetscDSGetDiscretization(ds, f, &obj));
5017: PetscCall(PetscObjectGetClassId(obj, &id));
5018: if (id == PETSCFE_CLASSID) {
5019: PetscFE fe = (PetscFE)obj;
5020: PetscFEGeom *geom = affineGeom ? affineGeom : geoms[f];
5021: PetscFEGeom *chunkGeom = NULL;
5022: PetscQuadrature quad = affineQuad ? affineQuad : quads[f];
5023: PetscInt Nq, Nb;
5025: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
5026: PetscCall(PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL));
5027: PetscCall(PetscFEGetDimension(fe, &Nb));
5028: blockSize = Nb;
5029: batchSize = numBlocks * blockSize;
5030: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
5031: numChunks = numCells / (numBatches * batchSize);
5032: Ne = numChunks * numBatches * batchSize;
5033: Nr = numCells % (numBatches * batchSize);
5034: offset = numCells - Nr;
5035: /* Integrate FE residual to get elemVec (need fields at quadrature points) */
5036: /* For FV, I think we use a P0 basis and the cell coefficients (for subdivided cells, we can tweak the basis tabulation to be the indicator function) */
5037: PetscCall(PetscFEGeomGetChunk(geom, 0, offset, &chunkGeom));
5038: PetscCall(PetscFEIntegrateResidual(ds, key, Ne, chunkGeom, u, u_t, dsAux, a, t, elemVec));
5039: PetscCall(PetscFEGeomGetChunk(geom, offset, numCells, &chunkGeom));
5040: PetscCall(PetscFEIntegrateResidual(ds, key, Nr, chunkGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), dsAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, &elemVec[offset * totDim]));
5041: PetscCall(PetscFEGeomRestoreChunk(geom, offset, numCells, &chunkGeom));
5042: } else if (id == PETSCFV_CLASSID) {
5043: PetscFV fv = (PetscFV)obj;
5045: Ne = numFaces;
5046: /* Riemann solve over faces (need fields at face centroids) */
5047: /* We need to evaluate FE fields at those coordinates */
5048: PetscCall(PetscFVIntegrateRHSFunction(fv, ds, f, Ne, fgeom, vol, uL, uR, fluxL, fluxR));
5049: } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Unknown discretization type for field %" PetscInt_FMT, f);
5050: }
5051: /* Loop over domain */
5052: if (useFEM) {
5053: /* Add elemVec to locX */
5054: for (c = cS; c < cE; ++c) {
5055: const PetscInt cell = cells ? cells[c] : c;
5056: const PetscInt cind = c - cStart;
5058: if (mesh->printFEM > 1) PetscCall(DMPrintCellVector(cell, name, totDim, &elemVec[cind * totDim]));
5059: if (ghostLabel) {
5060: PetscInt ghostVal;
5062: PetscCall(DMLabelGetValue(ghostLabel, cell, &ghostVal));
5063: if (ghostVal > 0) continue;
5064: }
5065: PetscCall(DMPlexVecSetClosure(dm, section, locF, cell, &elemVec[cind * totDim], ADD_ALL_VALUES));
5066: }
5067: }
5068: if (useFVM) {
5069: PetscScalar *fa;
5070: PetscInt iface;
5072: PetscCall(VecGetArray(locF, &fa));
5073: for (f = 0; f < Nf; ++f) {
5074: PetscFV fv;
5075: PetscObject obj;
5076: PetscClassId id;
5077: PetscInt cdim, foff, pdim;
5079: PetscCall(DMGetCoordinateDim(dm, &cdim));
5080: PetscCall(PetscDSGetDiscretization(ds, f, &obj));
5081: PetscCall(PetscDSGetFieldOffset(ds, f, &foff));
5082: PetscCall(PetscObjectGetClassId(obj, &id));
5083: if (id != PETSCFV_CLASSID) continue;
5084: fv = (PetscFV)obj;
5085: PetscCall(PetscFVGetNumComponents(fv, &pdim));
5086: /* Accumulate fluxes to cells */
5087: for (face = fS, iface = 0; face < fE; ++face) {
5088: const PetscInt *scells;
5089: PetscScalar *fL = NULL, *fR = NULL;
5090: PetscInt ghost, d, nsupp, nchild;
5092: PetscCall(DMLabelGetValue(ghostLabel, face, &ghost));
5093: PetscCall(DMPlexGetSupportSize(dm, face, &nsupp));
5094: PetscCall(DMPlexGetTreeChildren(dm, face, &nchild, NULL));
5095: if (ghost >= 0 || nsupp > 2 || nchild > 0) continue;
5096: PetscCall(DMPlexGetSupport(dm, face, &scells));
5097: PetscCall(DMLabelGetValue(ghostLabel, scells[0], &ghost));
5098: if (ghost <= 0) PetscCall(DMPlexPointLocalFieldRef(dm, scells[0], f, fa, &fL));
5099: PetscCall(DMLabelGetValue(ghostLabel, scells[1], &ghost));
5100: if (ghost <= 0) PetscCall(DMPlexPointLocalFieldRef(dm, scells[1], f, fa, &fR));
5101: if (mesh->printFVM > 1) {
5102: PetscCall(DMPrintCellVectorReal(face, "Residual: normal", cdim, fgeom[iface].normal));
5103: PetscCall(DMPrintCellVector(face, "Residual: left state", pdim, &uL[iface * totDim + foff]));
5104: PetscCall(DMPrintCellVector(face, "Residual: right state", pdim, &uR[iface * totDim + foff]));
5105: PetscCall(DMPrintCellVector(face, "Residual: left flux", pdim, &fluxL[iface * totDim + foff]));
5106: PetscCall(DMPrintCellVector(face, "Residual: right flux", pdim, &fluxR[iface * totDim + foff]));
5107: }
5108: for (d = 0; d < pdim; ++d) {
5109: if (fL) fL[d] -= fluxL[iface * totDim + foff + d];
5110: if (fR) fR[d] += fluxR[iface * totDim + foff + d];
5111: }
5112: ++iface;
5113: }
5114: }
5115: PetscCall(VecRestoreArray(locF, &fa));
5116: }
5117: /* Handle time derivative */
5118: if (locX_t) {
5119: PetscScalar *x_t, *fa;
5121: PetscCall(VecGetArray(locF, &fa));
5122: PetscCall(VecGetArray(locX_t, &x_t));
5123: for (f = 0; f < Nf; ++f) {
5124: PetscFV fv;
5125: PetscObject obj;
5126: PetscClassId id;
5127: PetscInt pdim, d;
5129: PetscCall(PetscDSGetDiscretization(ds, f, &obj));
5130: PetscCall(PetscObjectGetClassId(obj, &id));
5131: if (id != PETSCFV_CLASSID) continue;
5132: fv = (PetscFV)obj;
5133: PetscCall(PetscFVGetNumComponents(fv, &pdim));
5134: for (c = cS; c < cE; ++c) {
5135: const PetscInt cell = cells ? cells[c] : c;
5136: PetscScalar *u_t, *r;
5138: if (ghostLabel) {
5139: PetscInt ghostVal;
5141: PetscCall(DMLabelGetValue(ghostLabel, cell, &ghostVal));
5142: if (ghostVal > 0) continue;
5143: }
5144: PetscCall(DMPlexPointLocalFieldRead(dm, cell, f, x_t, &u_t));
5145: PetscCall(DMPlexPointLocalFieldRef(dm, cell, f, fa, &r));
5146: for (d = 0; d < pdim; ++d) r[d] += u_t[d];
5147: }
5148: }
5149: PetscCall(VecRestoreArray(locX_t, &x_t));
5150: PetscCall(VecRestoreArray(locF, &fa));
5151: }
5152: if (useFEM) {
5153: PetscCall(DMPlexRestoreCellFields(dm, chunkIS, locX, locX_t, locA, &u, &u_t, &a));
5154: PetscCall(DMRestoreWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVec));
5155: }
5156: if (useFVM) {
5157: PetscCall(DMPlexRestoreFaceFields(dm, fS, fE, locX, locX_t, faceGeometryFVM, cellGeometryFVM, locGrad, &numFaces, &uL, &uR));
5158: PetscCall(DMPlexRestoreFaceGeometry(dm, fS, fE, faceGeometryFVM, cellGeometryFVM, &numFaces, &fgeom, &vol));
5159: PetscCall(DMRestoreWorkArray(dm, numFaces * totDim, MPIU_SCALAR, &fluxL));
5160: PetscCall(DMRestoreWorkArray(dm, numFaces * totDim, MPIU_SCALAR, &fluxR));
5161: if (dmGrad) PetscCall(DMRestoreLocalVector(dmGrad, &locGrad));
5162: }
5163: }
5164: if (useFEM) PetscCall(ISDestroy(&chunkIS));
5165: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
5167: if (useFEM) {
5168: PetscCall(DMPlexComputeBdResidual_Internal(dm, locX, locX_t, t, locF, user));
5170: if (maxDegree <= 1) {
5171: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &affineGeom));
5172: PetscCall(PetscQuadratureDestroy(&affineQuad));
5173: } else {
5174: for (f = 0; f < Nf; ++f) {
5175: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, quads[f], PETSC_FALSE, &geoms[f]));
5176: PetscCall(PetscQuadratureDestroy(&quads[f]));
5177: }
5178: PetscCall(PetscFree2(quads, geoms));
5179: }
5180: }
5182: /* FEM */
5183: /* 1: Get sizes from dm and dmAux */
5184: /* 2: Get geometric data */
5185: /* 3: Handle boundary values */
5186: /* 4: Loop over domain */
5187: /* Extract coefficients */
5188: /* Loop over fields */
5189: /* Set tiling for FE*/
5190: /* Integrate FE residual to get elemVec */
5191: /* Loop over subdomain */
5192: /* Loop over quad points */
5193: /* Transform coords to real space */
5194: /* Evaluate field and aux fields at point */
5195: /* Evaluate residual at point */
5196: /* Transform residual to real space */
5197: /* Add residual to elemVec */
5198: /* Loop over domain */
5199: /* Add elemVec to locX */
5201: /* FVM */
5202: /* Get geometric data */
5203: /* If using gradients */
5204: /* Compute gradient data */
5205: /* Loop over domain faces */
5206: /* Count computational faces */
5207: /* Reconstruct cell gradient */
5208: /* Loop over domain cells */
5209: /* Limit cell gradients */
5210: /* Handle boundary values */
5211: /* Loop over domain faces */
5212: /* Read out field, centroid, normal, volume for each side of face */
5213: /* Riemann solve over faces */
5214: /* Loop over domain faces */
5215: /* Accumulate fluxes to cells */
5216: /* TODO Change printFEM to printDisc here */
5217: if (mesh->printFEM) {
5218: Vec locFbc;
5219: PetscInt pStart, pEnd, p, maxDof;
5220: PetscScalar *zeroes;
5222: PetscCall(VecDuplicate(locF, &locFbc));
5223: PetscCall(VecCopy(locF, locFbc));
5224: PetscCall(PetscSectionGetChart(section, &pStart, &pEnd));
5225: PetscCall(PetscSectionGetMaxDof(section, &maxDof));
5226: PetscCall(PetscCalloc1(maxDof, &zeroes));
5227: for (p = pStart; p < pEnd; p++) PetscCall(VecSetValuesSection(locFbc, section, p, zeroes, INSERT_BC_VALUES));
5228: PetscCall(PetscFree(zeroes));
5229: PetscCall(DMPrintLocalVec(dm, name, mesh->printTol, locFbc));
5230: PetscCall(VecDestroy(&locFbc));
5231: }
5232: end:
5233: PetscCall(PetscLogEventEnd(DMPLEX_ResidualFEM, dm, 0, 0, 0));
5234: PetscFunctionReturn(PETSC_SUCCESS);
5235: }
5237: /*
5238: 1) Allow multiple kernels for BdResidual for hybrid DS
5240: DONE 2) Get out dsAux for either side at the same time as cohesive cell dsAux
5242: DONE 3) Change DMGetCellFields() to get different aux data a[] for each side
5243: - I think I just need to replace a[] with the closure from each face
5245: 4) Run both kernels for each non-hybrid field with correct dsAux, and then hybrid field as before
5246: */
5247: PetscErrorCode DMPlexComputeResidual_Hybrid_Internal(DM dm, PetscFormKey key[], IS cellIS, PetscReal time, Vec locX, Vec locX_t, PetscReal t, Vec locF, void *user)
5248: {
5249: DM_Plex *mesh = (DM_Plex *)dm->data;
5250: const char *name = "Hybrid Residual";
5251: DM dmAux[3] = {NULL, NULL, NULL};
5252: DMLabel ghostLabel = NULL;
5253: PetscDS ds = NULL;
5254: PetscDS dsIn = NULL;
5255: PetscDS dsAux[3] = {NULL, NULL, NULL};
5256: Vec locA[3] = {NULL, NULL, NULL};
5257: DM dmScale[3] = {NULL, NULL, NULL};
5258: PetscDS dsScale[3] = {NULL, NULL, NULL};
5259: Vec locS[3] = {NULL, NULL, NULL};
5260: PetscSection section = NULL;
5261: DMField coordField = NULL;
5262: PetscScalar *a[3] = {NULL, NULL, NULL};
5263: PetscScalar *s[3] = {NULL, NULL, NULL};
5264: PetscScalar *u = NULL, *u_t;
5265: PetscScalar *elemVecNeg, *elemVecPos, *elemVecCoh;
5266: IS chunkIS;
5267: const PetscInt *cells;
5268: PetscInt *faces;
5269: PetscInt cStart, cEnd, numCells;
5270: PetscInt Nf, f, totDim, totDimIn, totDimAux[3], totDimScale[3], numChunks, cellChunkSize, chunk;
5271: PetscInt maxDegree = PETSC_MAX_INT;
5272: PetscQuadrature affineQuad = NULL, *quads = NULL;
5273: PetscFEGeom *affineGeom = NULL, **geoms = NULL;
5275: PetscFunctionBegin;
5276: PetscCall(PetscLogEventBegin(DMPLEX_ResidualFEM, dm, 0, 0, 0));
5277: if (!cellIS) goto end;
5278: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
5279: PetscCall(ISGetLocalSize(cellIS, &numCells));
5280: if (cStart >= cEnd) goto end;
5281: if ((key[0].label == key[1].label) && (key[0].value == key[1].value) && (key[0].part == key[1].part)) {
5282: const char *name;
5283: PetscCall(PetscObjectGetName((PetscObject)key[0].label, &name));
5284: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Form keys for each side of a cohesive surface must be different (%s, %" PetscInt_FMT ", %" PetscInt_FMT ")", name, key[0].value, key[0].part);
5285: }
5286: /* TODO The places where we have to use isFE are probably the member functions for the PetscDisc class */
5287: /* FEM */
5288: /* 1: Get sizes from dm and dmAux */
5289: PetscCall(DMGetSection(dm, §ion));
5290: PetscCall(DMGetLabel(dm, "ghost", &ghostLabel));
5291: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &ds, &dsIn));
5292: PetscCall(PetscDSGetNumFields(ds, &Nf));
5293: PetscCall(PetscDSGetTotalDimension(ds, &totDim));
5294: PetscCall(PetscDSGetTotalDimension(dsIn, &totDimIn));
5295: PetscCall(DMGetAuxiliaryVec(dm, key[2].label, key[2].value, key[2].part, &locA[2]));
5296: if (locA[2]) {
5297: const PetscInt cellStart = cells ? cells[cStart] : cStart;
5299: PetscCall(VecGetDM(locA[2], &dmAux[2]));
5300: PetscCall(DMGetCellDS(dmAux[2], cellStart, &dsAux[2], NULL));
5301: PetscCall(PetscDSGetTotalDimension(dsAux[2], &totDimAux[2]));
5302: {
5303: const PetscInt *cone;
5304: PetscInt c;
5306: PetscCall(DMPlexGetCone(dm, cellStart, &cone));
5307: for (c = 0; c < 2; ++c) {
5308: const PetscInt *support;
5309: PetscInt ssize, s;
5311: PetscCall(DMPlexGetSupport(dm, cone[c], &support));
5312: PetscCall(DMPlexGetSupportSize(dm, cone[c], &ssize));
5313: PetscCheck(ssize == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " from cell %" PetscInt_FMT " has support size %" PetscInt_FMT " != 2", cone[c], cellStart, ssize);
5314: if (support[0] == cellStart) s = 1;
5315: else if (support[1] == cellStart) s = 0;
5316: else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " does not have cell %" PetscInt_FMT " in its support", cone[c], cellStart);
5317: PetscCall(DMGetAuxiliaryVec(dm, key[c].label, key[c].value, key[c].part, &locA[c]));
5318: PetscCheck(locA[c], PETSC_COMM_SELF, PETSC_ERR_ARG_WRONGSTATE, "Must have auxiliary vector for (%p, %" PetscInt_FMT ", %" PetscInt_FMT ")", (void *)key[c].label, key[c].value, key[c].part);
5319: if (locA[c]) PetscCall(VecGetDM(locA[c], &dmAux[c]));
5320: else dmAux[c] = dmAux[2];
5321: PetscCall(DMGetCellDS(dmAux[c], support[s], &dsAux[c], NULL));
5322: PetscCall(PetscDSGetTotalDimension(dsAux[c], &totDimAux[c]));
5323: }
5324: }
5325: }
5326: /* Handle mass matrix scaling
5327: The field in key[2] is the field to be scaled, and the scaling field is the first in the dsScale */
5328: PetscCall(DMGetAuxiliaryVec(dm, key[2].label, -key[2].value, key[2].part, &locS[2]));
5329: if (locS[2]) {
5330: const PetscInt cellStart = cells ? cells[cStart] : cStart;
5331: PetscInt Nb, Nbs;
5333: PetscCall(VecGetDM(locS[2], &dmScale[2]));
5334: PetscCall(DMGetCellDS(dmScale[2], cellStart, &dsScale[2], NULL));
5335: PetscCall(PetscDSGetTotalDimension(dsScale[2], &totDimScale[2]));
5336: // BRAD: This is not set correctly
5337: key[2].field = 2;
5338: PetscCall(PetscDSGetFieldSize(ds, key[2].field, &Nb));
5339: PetscCall(PetscDSGetFieldSize(dsScale[2], 0, &Nbs));
5340: PetscCheck(Nb == Nbs, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Field %" PetscInt_FMT " of size %" PetscInt_FMT " cannot be scaled by field of size %" PetscInt_FMT, key[2].field, Nb, Nbs);
5341: {
5342: const PetscInt *cone;
5343: PetscInt c;
5345: locS[1] = locS[0] = locS[2];
5346: dmScale[1] = dmScale[0] = dmScale[2];
5347: PetscCall(DMPlexGetCone(dm, cellStart, &cone));
5348: for (c = 0; c < 2; ++c) {
5349: const PetscInt *support;
5350: PetscInt ssize, s;
5352: PetscCall(DMPlexGetSupport(dm, cone[c], &support));
5353: PetscCall(DMPlexGetSupportSize(dm, cone[c], &ssize));
5354: PetscCheck(ssize == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " from cell %" PetscInt_FMT " has support size %" PetscInt_FMT " != 2", cone[c], cellStart, ssize);
5355: if (support[0] == cellStart) s = 1;
5356: else if (support[1] == cellStart) s = 0;
5357: else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " does not have cell %" PetscInt_FMT " in its support", cone[c], cellStart);
5358: PetscCall(DMGetCellDS(dmScale[c], support[s], &dsScale[c], NULL));
5359: PetscCall(PetscDSGetTotalDimension(dsScale[c], &totDimScale[c]));
5360: }
5361: }
5362: }
5363: /* 2: Setup geometric data */
5364: PetscCall(DMGetCoordinateField(dm, &coordField));
5365: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
5366: if (maxDegree > 1) {
5367: PetscCall(PetscCalloc2(Nf, &quads, Nf, &geoms));
5368: for (f = 0; f < Nf; ++f) {
5369: PetscFE fe;
5371: PetscCall(PetscDSGetDiscretization(ds, f, (PetscObject *)&fe));
5372: if (fe) {
5373: PetscCall(PetscFEGetQuadrature(fe, &quads[f]));
5374: PetscCall(PetscObjectReference((PetscObject)quads[f]));
5375: }
5376: }
5377: }
5378: /* Loop over chunks */
5379: cellChunkSize = numCells;
5380: numChunks = !numCells ? 0 : PetscCeilReal(((PetscReal)numCells) / cellChunkSize);
5381: PetscCall(PetscCalloc1(2 * cellChunkSize, &faces));
5382: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 2 * cellChunkSize, faces, PETSC_USE_POINTER, &chunkIS));
5383: /* Extract field coefficients */
5384: /* NOTE This needs the end cap faces to have identical orientations */
5385: PetscCall(DMPlexGetHybridCellFields(dm, cellIS, locX, locX_t, locA[2], &u, &u_t, &a[2]));
5386: PetscCall(DMPlexGetHybridFields(dm, dmAux, dsAux, cellIS, locA, PETSC_TRUE, a));
5387: PetscCall(DMPlexGetHybridFields(dm, dmScale, dsScale, cellIS, locS, PETSC_TRUE, s));
5388: PetscCall(DMGetWorkArray(dm, cellChunkSize * totDim, MPIU_SCALAR, &elemVecNeg));
5389: PetscCall(DMGetWorkArray(dm, cellChunkSize * totDim, MPIU_SCALAR, &elemVecPos));
5390: PetscCall(DMGetWorkArray(dm, cellChunkSize * totDim, MPIU_SCALAR, &elemVecCoh));
5391: for (chunk = 0; chunk < numChunks; ++chunk) {
5392: PetscInt cS = cStart + chunk * cellChunkSize, cE = PetscMin(cS + cellChunkSize, cEnd), numCells = cE - cS, c;
5394: PetscCall(PetscArrayzero(elemVecNeg, cellChunkSize * totDim));
5395: PetscCall(PetscArrayzero(elemVecPos, cellChunkSize * totDim));
5396: PetscCall(PetscArrayzero(elemVecCoh, cellChunkSize * totDim));
5397: /* Get faces */
5398: for (c = cS; c < cE; ++c) {
5399: const PetscInt cell = cells ? cells[c] : c;
5400: const PetscInt *cone;
5401: PetscCall(DMPlexGetCone(dm, cell, &cone));
5402: faces[(c - cS) * 2 + 0] = cone[0];
5403: faces[(c - cS) * 2 + 1] = cone[1];
5404: }
5405: PetscCall(ISGeneralSetIndices(chunkIS, 2 * cellChunkSize, faces, PETSC_USE_POINTER));
5406: /* Get geometric data */
5407: if (maxDegree <= 1) {
5408: if (!affineQuad) PetscCall(DMFieldCreateDefaultQuadrature(coordField, chunkIS, &affineQuad));
5409: if (affineQuad) PetscCall(DMSNESGetFEGeom(coordField, chunkIS, affineQuad, PETSC_TRUE, &affineGeom));
5410: } else {
5411: for (f = 0; f < Nf; ++f) {
5412: if (quads[f]) PetscCall(DMSNESGetFEGeom(coordField, chunkIS, quads[f], PETSC_TRUE, &geoms[f]));
5413: }
5414: }
5415: /* Loop over fields */
5416: for (f = 0; f < Nf; ++f) {
5417: PetscFE fe;
5418: PetscFEGeom *geom = affineGeom ? affineGeom : geoms[f];
5419: PetscFEGeom *chunkGeom = NULL, *remGeom = NULL;
5420: PetscQuadrature quad = affineQuad ? affineQuad : quads[f];
5421: PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset, Nq, Nb;
5422: PetscBool isCohesiveField;
5424: PetscCall(PetscDSGetDiscretization(ds, f, (PetscObject *)&fe));
5425: if (!fe) continue;
5426: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
5427: PetscCall(PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL));
5428: PetscCall(PetscFEGetDimension(fe, &Nb));
5429: blockSize = Nb;
5430: batchSize = numBlocks * blockSize;
5431: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
5432: numChunks = numCells / (numBatches * batchSize);
5433: Ne = numChunks * numBatches * batchSize;
5434: Nr = numCells % (numBatches * batchSize);
5435: offset = numCells - Nr;
5436: PetscCall(PetscFEGeomGetChunk(geom, 0, offset * 2, &chunkGeom));
5437: PetscCall(PetscFEGeomGetChunk(geom, offset * 2, numCells * 2, &remGeom));
5438: PetscCall(PetscDSGetCohesive(ds, f, &isCohesiveField));
5439: chunkGeom->isCohesive = remGeom->isCohesive = PETSC_TRUE;
5440: key[0].field = f;
5441: key[1].field = f;
5442: key[2].field = f;
5443: PetscCall(PetscFEIntegrateHybridResidual(ds, dsIn, key[0], 0, Ne, chunkGeom, u, u_t, dsAux[0], a[0], t, elemVecNeg));
5444: PetscCall(PetscFEIntegrateHybridResidual(ds, dsIn, key[0], 0, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[0], PetscSafePointerPlusOffset(a[0], offset * totDimAux[0]), t, &elemVecNeg[offset * totDim]));
5445: PetscCall(PetscFEIntegrateHybridResidual(ds, dsIn, key[1], 1, Ne, chunkGeom, u, u_t, dsAux[1], a[1], t, elemVecPos));
5446: PetscCall(PetscFEIntegrateHybridResidual(ds, dsIn, key[1], 1, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[1], PetscSafePointerPlusOffset(a[1], offset * totDimAux[1]), t, &elemVecPos[offset * totDim]));
5447: PetscCall(PetscFEIntegrateHybridResidual(ds, dsIn, key[2], 2, Ne, chunkGeom, u, u_t, dsAux[2], a[2], t, elemVecCoh));
5448: PetscCall(PetscFEIntegrateHybridResidual(ds, dsIn, key[2], 2, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[2], PetscSafePointerPlusOffset(a[2], offset * totDimAux[2]), t, &elemVecCoh[offset * totDim]));
5449: PetscCall(PetscFEGeomRestoreChunk(geom, offset, numCells, &remGeom));
5450: PetscCall(PetscFEGeomRestoreChunk(geom, 0, offset, &chunkGeom));
5451: }
5452: /* Add elemVec to locX */
5453: for (c = cS; c < cE; ++c) {
5454: const PetscInt cell = cells ? cells[c] : c;
5455: const PetscInt cind = c - cStart;
5456: PetscInt i;
5458: /* Scale element values */
5459: if (locS[0]) {
5460: PetscInt Nb, off = cind * totDim, soff = cind * totDimScale[0];
5461: PetscBool cohesive;
5463: for (f = 0; f < Nf; ++f) {
5464: PetscCall(PetscDSGetFieldSize(ds, f, &Nb));
5465: PetscCall(PetscDSGetCohesive(ds, f, &cohesive));
5466: if (f == key[2].field) {
5467: PetscCheck(cohesive, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Scaling should not happen for face fields");
5468: // No cohesive scaling field is currently input
5469: for (i = 0; i < Nb; ++i) elemVecCoh[off + i] += s[0][soff + i] * elemVecNeg[off + i] + s[1][soff + i] * elemVecPos[off + i];
5470: off += Nb;
5471: } else {
5472: const PetscInt N = cohesive ? Nb : Nb * 2;
5474: for (i = 0; i < N; ++i) elemVecCoh[off + i] += elemVecNeg[off + i] + elemVecPos[off + i];
5475: off += N;
5476: }
5477: }
5478: } else {
5479: for (i = cind * totDim; i < (cind + 1) * totDim; ++i) elemVecCoh[i] += elemVecNeg[i] + elemVecPos[i];
5480: }
5481: if (mesh->printFEM > 1) PetscCall(DMPrintCellVector(cell, name, totDim, &elemVecCoh[cind * totDim]));
5482: if (ghostLabel) {
5483: PetscInt ghostVal;
5485: PetscCall(DMLabelGetValue(ghostLabel, cell, &ghostVal));
5486: if (ghostVal > 0) continue;
5487: }
5488: PetscCall(DMPlexVecSetClosure(dm, section, locF, cell, &elemVecCoh[cind * totDim], ADD_ALL_VALUES));
5489: }
5490: }
5491: PetscCall(DMPlexRestoreCellFields(dm, cellIS, locX, locX_t, locA[2], &u, &u_t, &a[2]));
5492: PetscCall(DMPlexRestoreHybridFields(dm, dmAux, dsAux, cellIS, locA, PETSC_TRUE, a));
5493: PetscCall(DMPlexRestoreHybridFields(dm, dmScale, dsScale, cellIS, locS, PETSC_TRUE, s));
5494: PetscCall(DMRestoreWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVecNeg));
5495: PetscCall(DMRestoreWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVecPos));
5496: PetscCall(DMRestoreWorkArray(dm, numCells * totDim, MPIU_SCALAR, &elemVecCoh));
5497: PetscCall(PetscFree(faces));
5498: PetscCall(ISDestroy(&chunkIS));
5499: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
5500: if (maxDegree <= 1) {
5501: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &affineGeom));
5502: PetscCall(PetscQuadratureDestroy(&affineQuad));
5503: } else {
5504: for (f = 0; f < Nf; ++f) {
5505: if (geoms) PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, quads[f], PETSC_FALSE, &geoms[f]));
5506: if (quads) PetscCall(PetscQuadratureDestroy(&quads[f]));
5507: }
5508: PetscCall(PetscFree2(quads, geoms));
5509: }
5510: if (mesh->printFEM) {
5511: Vec locFbc;
5512: PetscInt pStart, pEnd, p, maxDof;
5513: PetscScalar *zeroes;
5515: PetscCall(VecDuplicate(locF, &locFbc));
5516: PetscCall(VecCopy(locF, locFbc));
5517: PetscCall(PetscSectionGetChart(section, &pStart, &pEnd));
5518: PetscCall(PetscSectionGetMaxDof(section, &maxDof));
5519: PetscCall(PetscCalloc1(maxDof, &zeroes));
5520: for (p = pStart; p < pEnd; p++) PetscCall(VecSetValuesSection(locFbc, section, p, zeroes, INSERT_BC_VALUES));
5521: PetscCall(PetscFree(zeroes));
5522: PetscCall(DMPrintLocalVec(dm, name, mesh->printTol, locFbc));
5523: PetscCall(VecDestroy(&locFbc));
5524: }
5525: end:
5526: PetscCall(PetscLogEventEnd(DMPLEX_ResidualFEM, dm, 0, 0, 0));
5527: PetscFunctionReturn(PETSC_SUCCESS);
5528: }
5530: static PetscErrorCode DMPlexComputeBdJacobian_Single_Internal(DM dm, PetscReal t, PetscWeakForm wf, DMLabel label, PetscInt numValues, const PetscInt values[], PetscInt fieldI, Vec locX, Vec locX_t, PetscReal X_tShift, Mat Jac, Mat JacP, DMField coordField, IS facetIS)
5531: {
5532: DM_Plex *mesh = (DM_Plex *)dm->data;
5533: DM plex = NULL, plexA = NULL, tdm;
5534: DMEnclosureType encAux;
5535: PetscDS ds, dsAux = NULL;
5536: PetscSection section, sectionAux = NULL;
5537: PetscSection globalSection;
5538: Vec locA = NULL, tv;
5539: PetscScalar *u = NULL, *u_t = NULL, *a = NULL, *elemMat = NULL, *elemMatP = NULL;
5540: PetscInt v;
5541: PetscInt Nf, totDim, totDimAux = 0;
5542: PetscBool hasJac = PETSC_FALSE, hasPrec = PETSC_FALSE, transform;
5544: PetscFunctionBegin;
5545: PetscCall(DMHasBasisTransform(dm, &transform));
5546: PetscCall(DMGetBasisTransformDM_Internal(dm, &tdm));
5547: PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
5548: PetscCall(DMGetLocalSection(dm, §ion));
5549: PetscCall(DMGetDS(dm, &ds));
5550: PetscCall(PetscDSGetNumFields(ds, &Nf));
5551: PetscCall(PetscDSGetTotalDimension(ds, &totDim));
5552: PetscCall(PetscWeakFormHasBdJacobian(wf, &hasJac));
5553: PetscCall(PetscWeakFormHasBdJacobianPreconditioner(wf, &hasPrec));
5554: if (!hasJac && !hasPrec) PetscFunctionReturn(PETSC_SUCCESS);
5555: PetscCall(DMConvert(dm, DMPLEX, &plex));
5556: PetscCall(DMGetAuxiliaryVec(dm, label, values[0], 0, &locA));
5557: if (locA) {
5558: DM dmAux;
5560: PetscCall(VecGetDM(locA, &dmAux));
5561: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
5562: PetscCall(DMConvert(dmAux, DMPLEX, &plexA));
5563: PetscCall(DMGetDS(plexA, &dsAux));
5564: PetscCall(PetscDSGetTotalDimension(dsAux, &totDimAux));
5565: PetscCall(DMGetLocalSection(plexA, §ionAux));
5566: }
5568: PetscCall(DMGetGlobalSection(dm, &globalSection));
5569: for (v = 0; v < numValues; ++v) {
5570: PetscFEGeom *fgeom;
5571: PetscInt maxDegree;
5572: PetscQuadrature qGeom = NULL;
5573: IS pointIS;
5574: const PetscInt *points;
5575: PetscFormKey key;
5576: PetscInt numFaces, face, Nq;
5578: key.label = label;
5579: key.value = values[v];
5580: key.part = 0;
5581: PetscCall(DMLabelGetStratumIS(label, values[v], &pointIS));
5582: if (!pointIS) continue; /* No points with that id on this process */
5583: {
5584: IS isectIS;
5586: /* TODO: Special cases of ISIntersect where it is quick to check a prior if one is a superset of the other */
5587: PetscCall(ISIntersect_Caching_Internal(facetIS, pointIS, &isectIS));
5588: PetscCall(ISDestroy(&pointIS));
5589: pointIS = isectIS;
5590: }
5591: PetscCall(ISGetLocalSize(pointIS, &numFaces));
5592: PetscCall(ISGetIndices(pointIS, &points));
5593: PetscCall(PetscMalloc5(numFaces * totDim, &u, locX_t ? numFaces * totDim : 0, &u_t, hasJac ? numFaces * totDim * totDim : 0, &elemMat, hasPrec ? numFaces * totDim * totDim : 0, &elemMatP, locA ? numFaces * totDimAux : 0, &a));
5594: PetscCall(DMFieldGetDegree(coordField, pointIS, NULL, &maxDegree));
5595: if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, pointIS, &qGeom));
5596: if (!qGeom) {
5597: PetscFE fe;
5599: PetscCall(PetscDSGetDiscretization(ds, fieldI, (PetscObject *)&fe));
5600: PetscCall(PetscFEGetFaceQuadrature(fe, &qGeom));
5601: PetscCall(PetscObjectReference((PetscObject)qGeom));
5602: }
5603: PetscCall(PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL));
5604: PetscCall(DMSNESGetFEGeom(coordField, pointIS, qGeom, PETSC_TRUE, &fgeom));
5605: for (face = 0; face < numFaces; ++face) {
5606: const PetscInt point = points[face], *support;
5607: PetscScalar *x = NULL;
5608: PetscInt i;
5610: PetscCall(DMPlexGetSupport(dm, point, &support));
5611: PetscCall(DMPlexVecGetClosure(plex, section, locX, support[0], NULL, &x));
5612: for (i = 0; i < totDim; ++i) u[face * totDim + i] = x[i];
5613: PetscCall(DMPlexVecRestoreClosure(plex, section, locX, support[0], NULL, &x));
5614: if (locX_t) {
5615: PetscCall(DMPlexVecGetClosure(plex, section, locX_t, support[0], NULL, &x));
5616: for (i = 0; i < totDim; ++i) u_t[face * totDim + i] = x[i];
5617: PetscCall(DMPlexVecRestoreClosure(plex, section, locX_t, support[0], NULL, &x));
5618: }
5619: if (locA) {
5620: PetscInt subp;
5621: PetscCall(DMGetEnclosurePoint(plexA, dm, encAux, support[0], &subp));
5622: PetscCall(DMPlexVecGetClosure(plexA, sectionAux, locA, subp, NULL, &x));
5623: for (i = 0; i < totDimAux; ++i) a[face * totDimAux + i] = x[i];
5624: PetscCall(DMPlexVecRestoreClosure(plexA, sectionAux, locA, subp, NULL, &x));
5625: }
5626: }
5627: if (elemMat) PetscCall(PetscArrayzero(elemMat, numFaces * totDim * totDim));
5628: if (elemMatP) PetscCall(PetscArrayzero(elemMatP, numFaces * totDim * totDim));
5629: {
5630: PetscFE fe;
5631: PetscInt Nb;
5632: /* Conforming batches */
5633: PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize;
5634: /* Remainder */
5635: PetscFEGeom *chunkGeom = NULL;
5636: PetscInt fieldJ, Nr, offset;
5638: PetscCall(PetscDSGetDiscretization(ds, fieldI, (PetscObject *)&fe));
5639: PetscCall(PetscFEGetDimension(fe, &Nb));
5640: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
5641: blockSize = Nb;
5642: batchSize = numBlocks * blockSize;
5643: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
5644: numChunks = numFaces / (numBatches * batchSize);
5645: Ne = numChunks * numBatches * batchSize;
5646: Nr = numFaces % (numBatches * batchSize);
5647: offset = numFaces - Nr;
5648: PetscCall(PetscFEGeomGetChunk(fgeom, 0, offset, &chunkGeom));
5649: for (fieldJ = 0; fieldJ < Nf; ++fieldJ) {
5650: key.field = fieldI * Nf + fieldJ;
5651: if (hasJac) PetscCall(PetscFEIntegrateBdJacobian(ds, wf, PETSCFE_JACOBIAN, key, Ne, chunkGeom, u, u_t, dsAux, a, t, X_tShift, elemMat));
5652: if (hasPrec) PetscCall(PetscFEIntegrateBdJacobian(ds, wf, PETSCFE_JACOBIAN_PRE, key, Ne, chunkGeom, u, u_t, dsAux, a, t, X_tShift, elemMatP));
5653: }
5654: PetscCall(PetscFEGeomGetChunk(fgeom, offset, numFaces, &chunkGeom));
5655: for (fieldJ = 0; fieldJ < Nf; ++fieldJ) {
5656: key.field = fieldI * Nf + fieldJ;
5657: if (hasJac)
5658: PetscCall(PetscFEIntegrateBdJacobian(ds, wf, PETSCFE_JACOBIAN, key, Nr, chunkGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), dsAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, X_tShift, &elemMat[offset * totDim * totDim]));
5659: if (hasPrec)
5660: PetscCall(PetscFEIntegrateBdJacobian(ds, wf, PETSCFE_JACOBIAN_PRE, key, Nr, chunkGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), dsAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, X_tShift, &elemMatP[offset * totDim * totDim]));
5661: }
5662: PetscCall(PetscFEGeomRestoreChunk(fgeom, offset, numFaces, &chunkGeom));
5663: }
5664: for (face = 0; face < numFaces; ++face) {
5665: const PetscInt point = points[face], *support;
5667: /* Transform to global basis before insertion in Jacobian */
5668: PetscCall(DMPlexGetSupport(plex, point, &support));
5669: if (hasJac && transform) PetscCall(DMPlexBasisTransformPointTensor_Internal(dm, tdm, tv, support[0], PETSC_TRUE, totDim, &elemMat[face * totDim * totDim]));
5670: if (hasPrec && transform) PetscCall(DMPlexBasisTransformPointTensor_Internal(dm, tdm, tv, support[0], PETSC_TRUE, totDim, &elemMatP[face * totDim * totDim]));
5671: if (hasPrec) {
5672: if (hasJac) {
5673: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(point, "BdJacobian", totDim, totDim, &elemMat[face * totDim * totDim]));
5674: PetscCall(DMPlexMatSetClosure_Internal(plex, section, globalSection, mesh->useMatClPerm, Jac, support[0], &elemMat[face * totDim * totDim], ADD_VALUES));
5675: }
5676: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(point, "BdJacobian", totDim, totDim, &elemMatP[face * totDim * totDim]));
5677: PetscCall(DMPlexMatSetClosure_Internal(plex, section, globalSection, mesh->useMatClPerm, JacP, support[0], &elemMatP[face * totDim * totDim], ADD_VALUES));
5678: } else {
5679: if (hasJac) {
5680: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(point, "BdJacobian", totDim, totDim, &elemMat[face * totDim * totDim]));
5681: PetscCall(DMPlexMatSetClosure_Internal(plex, section, globalSection, mesh->useMatClPerm, Jac, support[0], &elemMat[face * totDim * totDim], ADD_VALUES));
5682: }
5683: }
5684: }
5685: PetscCall(DMSNESRestoreFEGeom(coordField, pointIS, qGeom, PETSC_TRUE, &fgeom));
5686: PetscCall(PetscQuadratureDestroy(&qGeom));
5687: PetscCall(ISRestoreIndices(pointIS, &points));
5688: PetscCall(ISDestroy(&pointIS));
5689: PetscCall(PetscFree5(u, u_t, elemMat, elemMatP, a));
5690: }
5691: if (plex) PetscCall(DMDestroy(&plex));
5692: if (plexA) PetscCall(DMDestroy(&plexA));
5693: PetscFunctionReturn(PETSC_SUCCESS);
5694: }
5696: PetscErrorCode DMPlexComputeBdJacobianSingle(DM dm, PetscReal t, PetscWeakForm wf, DMLabel label, PetscInt numValues, const PetscInt values[], PetscInt field, Vec locX, Vec locX_t, PetscReal X_tShift, Mat Jac, Mat JacP)
5697: {
5698: DMField coordField;
5699: DMLabel depthLabel;
5700: IS facetIS;
5701: PetscInt dim;
5703: PetscFunctionBegin;
5704: PetscCall(DMGetDimension(dm, &dim));
5705: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
5706: PetscCall(DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS));
5707: PetscCall(DMGetCoordinateField(dm, &coordField));
5708: PetscCall(DMPlexComputeBdJacobian_Single_Internal(dm, t, wf, label, numValues, values, field, locX, locX_t, X_tShift, Jac, JacP, coordField, facetIS));
5709: PetscCall(ISDestroy(&facetIS));
5710: PetscFunctionReturn(PETSC_SUCCESS);
5711: }
5713: static PetscErrorCode DMPlexComputeBdJacobian_Internal(DM dm, Vec locX, Vec locX_t, PetscReal t, PetscReal X_tShift, Mat Jac, Mat JacP, void *user)
5714: {
5715: PetscDS prob;
5716: PetscInt dim, numBd, bd;
5717: DMLabel depthLabel;
5718: DMField coordField = NULL;
5719: IS facetIS;
5721: PetscFunctionBegin;
5722: PetscCall(DMGetDS(dm, &prob));
5723: PetscCall(DMPlexGetDepthLabel(dm, &depthLabel));
5724: PetscCall(DMGetDimension(dm, &dim));
5725: PetscCall(DMLabelGetStratumIS(depthLabel, dim - 1, &facetIS));
5726: PetscCall(PetscDSGetNumBoundary(prob, &numBd));
5727: PetscCall(DMGetCoordinateField(dm, &coordField));
5728: for (bd = 0; bd < numBd; ++bd) {
5729: PetscWeakForm wf;
5730: DMBoundaryConditionType type;
5731: DMLabel label;
5732: const PetscInt *values;
5733: PetscInt fieldI, numValues;
5734: PetscObject obj;
5735: PetscClassId id;
5737: PetscCall(PetscDSGetBoundary(prob, bd, &wf, &type, NULL, &label, &numValues, &values, &fieldI, NULL, NULL, NULL, NULL, NULL));
5738: if (type & DM_BC_ESSENTIAL) continue;
5739: PetscCall(PetscDSGetDiscretization(prob, fieldI, &obj));
5740: PetscCall(PetscObjectGetClassId(obj, &id));
5741: if (id != PETSCFE_CLASSID) continue;
5742: PetscCall(DMPlexComputeBdJacobian_Single_Internal(dm, t, wf, label, numValues, values, fieldI, locX, locX_t, X_tShift, Jac, JacP, coordField, facetIS));
5743: }
5744: PetscCall(ISDestroy(&facetIS));
5745: PetscFunctionReturn(PETSC_SUCCESS);
5746: }
5748: PetscErrorCode DMPlexComputeJacobian_Internal(DM dm, PetscFormKey key, IS cellIS, PetscReal t, PetscReal X_tShift, Vec X, Vec X_t, Mat Jac, Mat JacP, void *user)
5749: {
5750: DM_Plex *mesh = (DM_Plex *)dm->data;
5751: const char *name = "Jacobian";
5752: DM dmAux = NULL, plex, tdm;
5753: DMEnclosureType encAux;
5754: Vec A, tv;
5755: DMField coordField;
5756: PetscDS prob, probAux = NULL;
5757: PetscSection section, globalSection, sectionAux;
5758: PetscScalar *elemMat, *elemMatP, *elemMatD, *u, *u_t, *a = NULL;
5759: const PetscInt *cells;
5760: PetscInt Nf, fieldI, fieldJ;
5761: PetscInt totDim, totDimAux = 0, cStart, cEnd, numCells, c;
5762: PetscBool hasJac = PETSC_FALSE, hasPrec = PETSC_FALSE, hasDyn, hasFV = PETSC_FALSE, transform;
5764: PetscFunctionBegin;
5765: PetscCall(PetscLogEventBegin(DMPLEX_JacobianFEM, dm, 0, 0, 0));
5766: if (!cellIS) goto end;
5767: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
5768: PetscCall(ISGetLocalSize(cellIS, &numCells));
5769: if (cStart >= cEnd) goto end;
5770: PetscCall(DMHasBasisTransform(dm, &transform));
5771: PetscCall(DMGetBasisTransformDM_Internal(dm, &tdm));
5772: PetscCall(DMGetBasisTransformVec_Internal(dm, &tv));
5773: PetscCall(DMGetLocalSection(dm, §ion));
5774: PetscCall(DMGetGlobalSection(dm, &globalSection));
5775: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &prob, NULL));
5776: PetscCall(PetscDSGetNumFields(prob, &Nf));
5777: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
5778: PetscCall(PetscDSHasJacobian(prob, &hasJac));
5779: PetscCall(PetscDSHasJacobianPreconditioner(prob, &hasPrec));
5780: /* user passed in the same matrix, avoid double contributions and
5781: only assemble the Jacobian */
5782: if (hasJac && Jac == JacP) hasPrec = PETSC_FALSE;
5783: PetscCall(PetscDSHasDynamicJacobian(prob, &hasDyn));
5784: hasDyn = hasDyn && (X_tShift != 0.0) ? PETSC_TRUE : PETSC_FALSE;
5785: PetscCall(DMGetAuxiliaryVec(dm, key.label, key.value, key.part, &A));
5786: if (A) {
5787: PetscCall(VecGetDM(A, &dmAux));
5788: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
5789: PetscCall(DMConvert(dmAux, DMPLEX, &plex));
5790: PetscCall(DMGetLocalSection(plex, §ionAux));
5791: PetscCall(DMGetDS(dmAux, &probAux));
5792: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
5793: }
5794: PetscCall(PetscMalloc5(numCells * totDim, &u, X_t ? numCells * totDim : 0, &u_t, hasJac ? numCells * totDim * totDim : 0, &elemMat, hasPrec ? numCells * totDim * totDim : 0, &elemMatP, hasDyn ? numCells * totDim * totDim : 0, &elemMatD));
5795: if (dmAux) PetscCall(PetscMalloc1(numCells * totDimAux, &a));
5796: PetscCall(DMGetCoordinateField(dm, &coordField));
5797: for (c = cStart; c < cEnd; ++c) {
5798: const PetscInt cell = cells ? cells[c] : c;
5799: const PetscInt cind = c - cStart;
5800: PetscScalar *x = NULL, *x_t = NULL;
5801: PetscInt i;
5803: PetscCall(DMPlexVecGetClosure(dm, section, X, cell, NULL, &x));
5804: for (i = 0; i < totDim; ++i) u[cind * totDim + i] = x[i];
5805: PetscCall(DMPlexVecRestoreClosure(dm, section, X, cell, NULL, &x));
5806: if (X_t) {
5807: PetscCall(DMPlexVecGetClosure(dm, section, X_t, cell, NULL, &x_t));
5808: for (i = 0; i < totDim; ++i) u_t[cind * totDim + i] = x_t[i];
5809: PetscCall(DMPlexVecRestoreClosure(dm, section, X_t, cell, NULL, &x_t));
5810: }
5811: if (dmAux) {
5812: PetscInt subcell;
5813: PetscCall(DMGetEnclosurePoint(dmAux, dm, encAux, cell, &subcell));
5814: PetscCall(DMPlexVecGetClosure(plex, sectionAux, A, subcell, NULL, &x));
5815: for (i = 0; i < totDimAux; ++i) a[cind * totDimAux + i] = x[i];
5816: PetscCall(DMPlexVecRestoreClosure(plex, sectionAux, A, subcell, NULL, &x));
5817: }
5818: }
5819: if (hasJac) PetscCall(PetscArrayzero(elemMat, numCells * totDim * totDim));
5820: if (hasPrec) PetscCall(PetscArrayzero(elemMatP, numCells * totDim * totDim));
5821: if (hasDyn) PetscCall(PetscArrayzero(elemMatD, numCells * totDim * totDim));
5822: for (fieldI = 0; fieldI < Nf; ++fieldI) {
5823: PetscClassId id;
5824: PetscFE fe;
5825: PetscQuadrature qGeom = NULL;
5826: PetscInt Nb;
5827: /* Conforming batches */
5828: PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize;
5829: /* Remainder */
5830: PetscInt Nr, offset, Nq;
5831: PetscInt maxDegree;
5832: PetscFEGeom *cgeomFEM, *chunkGeom = NULL, *remGeom = NULL;
5834: PetscCall(PetscDSGetDiscretization(prob, fieldI, (PetscObject *)&fe));
5835: PetscCall(PetscObjectGetClassId((PetscObject)fe, &id));
5836: if (id == PETSCFV_CLASSID) {
5837: hasFV = PETSC_TRUE;
5838: continue;
5839: }
5840: PetscCall(PetscFEGetDimension(fe, &Nb));
5841: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
5842: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
5843: if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, &qGeom));
5844: if (!qGeom) {
5845: PetscCall(PetscFEGetQuadrature(fe, &qGeom));
5846: PetscCall(PetscObjectReference((PetscObject)qGeom));
5847: }
5848: PetscCall(PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL));
5849: PetscCall(DMSNESGetFEGeom(coordField, cellIS, qGeom, PETSC_FALSE, &cgeomFEM));
5850: blockSize = Nb;
5851: batchSize = numBlocks * blockSize;
5852: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
5853: numChunks = numCells / (numBatches * batchSize);
5854: Ne = numChunks * numBatches * batchSize;
5855: Nr = numCells % (numBatches * batchSize);
5856: offset = numCells - Nr;
5857: PetscCall(PetscFEGeomGetChunk(cgeomFEM, 0, offset, &chunkGeom));
5858: PetscCall(PetscFEGeomGetChunk(cgeomFEM, offset, numCells, &remGeom));
5859: for (fieldJ = 0; fieldJ < Nf; ++fieldJ) {
5860: key.field = fieldI * Nf + fieldJ;
5861: if (hasJac) {
5862: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN, key, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMat));
5863: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN, key, Nr, remGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, X_tShift, &elemMat[offset * totDim * totDim]));
5864: }
5865: if (hasPrec) {
5866: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_PRE, key, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMatP));
5867: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_PRE, key, Nr, remGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, X_tShift, &elemMatP[offset * totDim * totDim]));
5868: }
5869: if (hasDyn) {
5870: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_DYN, key, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMatD));
5871: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_DYN, key, Nr, remGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, X_tShift, &elemMatD[offset * totDim * totDim]));
5872: }
5873: }
5874: PetscCall(PetscFEGeomRestoreChunk(cgeomFEM, offset, numCells, &remGeom));
5875: PetscCall(PetscFEGeomRestoreChunk(cgeomFEM, 0, offset, &chunkGeom));
5876: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, qGeom, PETSC_FALSE, &cgeomFEM));
5877: PetscCall(PetscQuadratureDestroy(&qGeom));
5878: }
5879: /* Add contribution from X_t */
5880: if (hasDyn) {
5881: for (c = 0; c < numCells * totDim * totDim; ++c) elemMat[c] += X_tShift * elemMatD[c];
5882: }
5883: if (hasFV) {
5884: PetscClassId id;
5885: PetscFV fv;
5886: PetscInt offsetI, NcI, NbI = 1, fc, f;
5888: for (fieldI = 0; fieldI < Nf; ++fieldI) {
5889: PetscCall(PetscDSGetDiscretization(prob, fieldI, (PetscObject *)&fv));
5890: PetscCall(PetscDSGetFieldOffset(prob, fieldI, &offsetI));
5891: PetscCall(PetscObjectGetClassId((PetscObject)fv, &id));
5892: if (id != PETSCFV_CLASSID) continue;
5893: /* Put in the weighted identity */
5894: PetscCall(PetscFVGetNumComponents(fv, &NcI));
5895: for (c = cStart; c < cEnd; ++c) {
5896: const PetscInt cind = c - cStart;
5897: const PetscInt eOffset = cind * totDim * totDim;
5898: PetscReal vol;
5900: PetscCall(DMPlexComputeCellGeometryFVM(dm, c, &vol, NULL, NULL));
5901: for (fc = 0; fc < NcI; ++fc) {
5902: for (f = 0; f < NbI; ++f) {
5903: const PetscInt i = offsetI + f * NcI + fc;
5904: if (hasPrec) {
5905: if (hasJac) elemMat[eOffset + i * totDim + i] = vol;
5906: elemMatP[eOffset + i * totDim + i] = vol;
5907: } else {
5908: elemMat[eOffset + i * totDim + i] = vol;
5909: }
5910: }
5911: }
5912: }
5913: }
5914: /* No allocated space for FV stuff, so ignore the zero entries */
5915: PetscCall(MatSetOption(JacP, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
5916: }
5917: /* Insert values into matrix */
5918: for (c = cStart; c < cEnd; ++c) {
5919: const PetscInt cell = cells ? cells[c] : c;
5920: const PetscInt cind = c - cStart;
5922: /* Transform to global basis before insertion in Jacobian */
5923: if (transform) PetscCall(DMPlexBasisTransformPointTensor_Internal(dm, tdm, tv, cell, PETSC_TRUE, totDim, &elemMat[cind * totDim * totDim]));
5924: if (hasPrec) {
5925: if (hasJac) {
5926: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMat[cind * totDim * totDim]));
5927: PetscCall(DMPlexMatSetClosure_Internal(dm, section, globalSection, mesh->useMatClPerm, Jac, cell, &elemMat[cind * totDim * totDim], ADD_VALUES));
5928: }
5929: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMatP[cind * totDim * totDim]));
5930: PetscCall(DMPlexMatSetClosure_Internal(dm, section, globalSection, mesh->useMatClPerm, JacP, cell, &elemMatP[cind * totDim * totDim], ADD_VALUES));
5931: } else {
5932: if (hasJac) {
5933: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMat[cind * totDim * totDim]));
5934: PetscCall(DMPlexMatSetClosure_Internal(dm, section, globalSection, mesh->useMatClPerm, JacP, cell, &elemMat[cind * totDim * totDim], ADD_VALUES));
5935: }
5936: }
5937: }
5938: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
5939: if (hasFV) PetscCall(MatSetOption(JacP, MAT_IGNORE_ZERO_ENTRIES, PETSC_FALSE));
5940: PetscCall(PetscFree5(u, u_t, elemMat, elemMatP, elemMatD));
5941: if (dmAux) {
5942: PetscCall(PetscFree(a));
5943: PetscCall(DMDestroy(&plex));
5944: }
5945: /* Compute boundary integrals */
5946: PetscCall(DMPlexComputeBdJacobian_Internal(dm, X, X_t, t, X_tShift, Jac, JacP, user));
5947: /* Assemble matrix */
5948: end: {
5949: PetscBool assOp = hasJac && hasPrec ? PETSC_TRUE : PETSC_FALSE, gassOp;
5951: PetscCall(MPIU_Allreduce(&assOp, &gassOp, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)dm)));
5952: if (hasJac && hasPrec) {
5953: PetscCall(MatAssemblyBegin(Jac, MAT_FINAL_ASSEMBLY));
5954: PetscCall(MatAssemblyEnd(Jac, MAT_FINAL_ASSEMBLY));
5955: }
5956: }
5957: PetscCall(MatAssemblyBegin(JacP, MAT_FINAL_ASSEMBLY));
5958: PetscCall(MatAssemblyEnd(JacP, MAT_FINAL_ASSEMBLY));
5959: PetscCall(PetscLogEventEnd(DMPLEX_JacobianFEM, dm, 0, 0, 0));
5960: PetscFunctionReturn(PETSC_SUCCESS);
5961: }
5963: PetscErrorCode DMPlexComputeJacobian_Hybrid_Internal(DM dm, PetscFormKey key[], IS cellIS, PetscReal t, PetscReal X_tShift, Vec locX, Vec locX_t, Mat Jac, Mat JacP, void *user)
5964: {
5965: DM_Plex *mesh = (DM_Plex *)dm->data;
5966: const char *name = "Hybrid Jacobian";
5967: DM dmAux[3] = {NULL, NULL, NULL};
5968: DMLabel ghostLabel = NULL;
5969: DM plex = NULL;
5970: DM plexA = NULL;
5971: PetscDS ds = NULL;
5972: PetscDS dsIn = NULL;
5973: PetscDS dsAux[3] = {NULL, NULL, NULL};
5974: Vec locA[3] = {NULL, NULL, NULL};
5975: DM dmScale[3] = {NULL, NULL, NULL};
5976: PetscDS dsScale[3] = {NULL, NULL, NULL};
5977: Vec locS[3] = {NULL, NULL, NULL};
5978: PetscSection section = NULL;
5979: PetscSection sectionAux[3] = {NULL, NULL, NULL};
5980: DMField coordField = NULL;
5981: PetscScalar *a[3] = {NULL, NULL, NULL};
5982: PetscScalar *s[3] = {NULL, NULL, NULL};
5983: PetscScalar *u = NULL, *u_t;
5984: PetscScalar *elemMatNeg, *elemMatPos, *elemMatCoh;
5985: PetscScalar *elemMatNegP, *elemMatPosP, *elemMatCohP;
5986: PetscSection globalSection;
5987: IS chunkIS;
5988: const PetscInt *cells;
5989: PetscInt *faces;
5990: PetscInt cStart, cEnd, numCells;
5991: PetscInt Nf, fieldI, fieldJ, totDim, totDimIn, totDimAux[3], totDimScale[3], numChunks, cellChunkSize, chunk;
5992: PetscInt maxDegree = PETSC_MAX_INT;
5993: PetscQuadrature affineQuad = NULL, *quads = NULL;
5994: PetscFEGeom *affineGeom = NULL, **geoms = NULL;
5995: PetscBool hasBdJac, hasBdPrec;
5997: PetscFunctionBegin;
5998: PetscCall(PetscLogEventBegin(DMPLEX_JacobianFEM, dm, 0, 0, 0));
5999: if (!cellIS) goto end;
6000: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
6001: PetscCall(ISGetLocalSize(cellIS, &numCells));
6002: if (cStart >= cEnd) goto end;
6003: if ((key[0].label == key[1].label) && (key[0].value == key[1].value) && (key[0].part == key[1].part)) {
6004: const char *name;
6005: PetscCall(PetscObjectGetName((PetscObject)key[0].label, &name));
6006: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Form keys for each side of a cohesive surface must be different (%s, %" PetscInt_FMT ", %" PetscInt_FMT ")", name, key[0].value, key[0].part);
6007: }
6008: PetscCall(DMConvert(dm, DMPLEX, &plex));
6009: PetscCall(DMGetSection(dm, §ion));
6010: PetscCall(DMGetGlobalSection(dm, &globalSection));
6011: PetscCall(DMGetLabel(dm, "ghost", &ghostLabel));
6012: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &ds, &dsIn));
6013: PetscCall(PetscDSGetNumFields(ds, &Nf));
6014: PetscCall(PetscDSGetTotalDimension(ds, &totDim));
6015: PetscCall(PetscDSGetTotalDimension(dsIn, &totDimIn));
6016: PetscCall(PetscDSHasBdJacobian(ds, &hasBdJac));
6017: PetscCall(PetscDSHasBdJacobianPreconditioner(ds, &hasBdPrec));
6018: PetscCall(DMGetAuxiliaryVec(dm, key[2].label, key[2].value, key[2].part, &locA[2]));
6019: if (locA[2]) {
6020: const PetscInt cellStart = cells ? cells[cStart] : cStart;
6022: PetscCall(VecGetDM(locA[2], &dmAux[2]));
6023: PetscCall(DMConvert(dmAux[2], DMPLEX, &plexA));
6024: PetscCall(DMGetSection(dmAux[2], §ionAux[2]));
6025: PetscCall(DMGetCellDS(dmAux[2], cellStart, &dsAux[2], NULL));
6026: PetscCall(PetscDSGetTotalDimension(dsAux[2], &totDimAux[2]));
6027: {
6028: const PetscInt *cone;
6029: PetscInt c;
6031: PetscCall(DMPlexGetCone(dm, cellStart, &cone));
6032: for (c = 0; c < 2; ++c) {
6033: const PetscInt *support;
6034: PetscInt ssize, s;
6036: PetscCall(DMPlexGetSupport(dm, cone[c], &support));
6037: PetscCall(DMPlexGetSupportSize(dm, cone[c], &ssize));
6038: PetscCheck(ssize == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " from cell %" PetscInt_FMT " has support size %" PetscInt_FMT " != 2", cone[c], cellStart, ssize);
6039: if (support[0] == cellStart) s = 1;
6040: else if (support[1] == cellStart) s = 0;
6041: else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " does not have cell %" PetscInt_FMT " in its support", cone[c], cellStart);
6042: PetscCall(DMGetAuxiliaryVec(dm, key[c].label, key[c].value, key[c].part, &locA[c]));
6043: if (locA[c]) PetscCall(VecGetDM(locA[c], &dmAux[c]));
6044: else dmAux[c] = dmAux[2];
6045: PetscCall(DMGetCellDS(dmAux[c], support[s], &dsAux[c], NULL));
6046: PetscCall(PetscDSGetTotalDimension(dsAux[c], &totDimAux[c]));
6047: }
6048: }
6049: }
6050: /* Handle mass matrix scaling
6051: The field in key[2] is the field to be scaled, and the scaling field is the first in the dsScale */
6052: PetscCall(DMGetAuxiliaryVec(dm, key[2].label, -key[2].value, key[2].part, &locS[2]));
6053: if (locS[2]) {
6054: const PetscInt cellStart = cells ? cells[cStart] : cStart;
6055: PetscInt Nb, Nbs;
6057: PetscCall(VecGetDM(locS[2], &dmScale[2]));
6058: PetscCall(DMGetCellDS(dmScale[2], cells ? cells[cStart] : cStart, &dsScale[2], NULL));
6059: PetscCall(PetscDSGetTotalDimension(dsScale[2], &totDimScale[2]));
6060: // BRAD: This is not set correctly
6061: key[2].field = 2;
6062: PetscCall(PetscDSGetFieldSize(ds, key[2].field, &Nb));
6063: PetscCall(PetscDSGetFieldSize(dsScale[2], 0, &Nbs));
6064: PetscCheck(Nb == Nbs, PETSC_COMM_SELF, PETSC_ERR_ARG_INCOMP, "Field %" PetscInt_FMT " of size %" PetscInt_FMT " cannot be scaled by field of size %" PetscInt_FMT, key[2].field, Nb, Nbs);
6065: {
6066: const PetscInt *cone;
6067: PetscInt c;
6069: locS[1] = locS[0] = locS[2];
6070: dmScale[1] = dmScale[0] = dmScale[2];
6071: PetscCall(DMPlexGetCone(dm, cellStart, &cone));
6072: for (c = 0; c < 2; ++c) {
6073: const PetscInt *support;
6074: PetscInt ssize, s;
6076: PetscCall(DMPlexGetSupport(dm, cone[c], &support));
6077: PetscCall(DMPlexGetSupportSize(dm, cone[c], &ssize));
6078: PetscCheck(ssize == 2, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " from cell %" PetscInt_FMT " has support size %" PetscInt_FMT " != 2", cone[c], cellStart, ssize);
6079: if (support[0] == cellStart) s = 1;
6080: else if (support[1] == cellStart) s = 0;
6081: else SETERRQ(PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Face %" PetscInt_FMT " does not have cell %" PetscInt_FMT " in its support", cone[c], cellStart);
6082: PetscCall(DMGetCellDS(dmScale[c], support[s], &dsScale[c], NULL));
6083: PetscCall(PetscDSGetTotalDimension(dsScale[c], &totDimScale[c]));
6084: }
6085: }
6086: }
6087: /* 2: Setup geometric data */
6088: PetscCall(DMGetCoordinateField(dm, &coordField));
6089: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
6090: if (maxDegree > 1) {
6091: PetscInt f;
6092: PetscCall(PetscCalloc2(Nf, &quads, Nf, &geoms));
6093: for (f = 0; f < Nf; ++f) {
6094: PetscFE fe;
6096: PetscCall(PetscDSGetDiscretization(ds, f, (PetscObject *)&fe));
6097: if (fe) {
6098: PetscCall(PetscFEGetQuadrature(fe, &quads[f]));
6099: PetscCall(PetscObjectReference((PetscObject)quads[f]));
6100: }
6101: }
6102: }
6103: /* Loop over chunks */
6104: cellChunkSize = numCells;
6105: numChunks = !numCells ? 0 : PetscCeilReal(((PetscReal)numCells) / cellChunkSize);
6106: PetscCall(PetscCalloc1(2 * cellChunkSize, &faces));
6107: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 1 * cellChunkSize, faces, PETSC_USE_POINTER, &chunkIS));
6108: /* Extract field coefficients */
6109: /* NOTE This needs the end cap faces to have identical orientations */
6110: PetscCall(DMPlexGetHybridCellFields(dm, cellIS, locX, locX_t, locA[2], &u, &u_t, &a[2]));
6111: PetscCall(DMPlexGetHybridFields(dm, dmAux, dsAux, cellIS, locA, PETSC_TRUE, a));
6112: PetscCall(DMPlexGetHybridFields(dm, dmScale, dsScale, cellIS, locS, PETSC_TRUE, s));
6113: PetscCall(DMGetWorkArray(dm, hasBdJac ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatNeg));
6114: PetscCall(DMGetWorkArray(dm, hasBdJac ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatPos));
6115: PetscCall(DMGetWorkArray(dm, hasBdJac ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatCoh));
6116: PetscCall(DMGetWorkArray(dm, hasBdPrec ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatNegP));
6117: PetscCall(DMGetWorkArray(dm, hasBdPrec ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatPosP));
6118: PetscCall(DMGetWorkArray(dm, hasBdPrec ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatCohP));
6119: for (chunk = 0; chunk < numChunks; ++chunk) {
6120: PetscInt cS = cStart + chunk * cellChunkSize, cE = PetscMin(cS + cellChunkSize, cEnd), numCells = cE - cS, c;
6122: if (hasBdJac) {
6123: PetscCall(PetscArrayzero(elemMatNeg, cellChunkSize * totDim * totDim));
6124: PetscCall(PetscArrayzero(elemMatPos, cellChunkSize * totDim * totDim));
6125: PetscCall(PetscArrayzero(elemMatCoh, cellChunkSize * totDim * totDim));
6126: }
6127: if (hasBdPrec) {
6128: PetscCall(PetscArrayzero(elemMatNegP, cellChunkSize * totDim * totDim));
6129: PetscCall(PetscArrayzero(elemMatPosP, cellChunkSize * totDim * totDim));
6130: PetscCall(PetscArrayzero(elemMatCohP, cellChunkSize * totDim * totDim));
6131: }
6132: /* Get faces */
6133: for (c = cS; c < cE; ++c) {
6134: const PetscInt cell = cells ? cells[c] : c;
6135: const PetscInt *cone;
6136: PetscCall(DMPlexGetCone(plex, cell, &cone));
6137: faces[(c - cS) * 2 + 0] = cone[0];
6138: faces[(c - cS) * 2 + 1] = cone[1];
6139: }
6140: PetscCall(ISGeneralSetIndices(chunkIS, 2 * cellChunkSize, faces, PETSC_USE_POINTER));
6141: if (maxDegree <= 1) {
6142: if (!affineQuad) PetscCall(DMFieldCreateDefaultQuadrature(coordField, chunkIS, &affineQuad));
6143: if (affineQuad) PetscCall(DMSNESGetFEGeom(coordField, chunkIS, affineQuad, PETSC_TRUE, &affineGeom));
6144: } else {
6145: PetscInt f;
6146: for (f = 0; f < Nf; ++f) {
6147: if (quads[f]) PetscCall(DMSNESGetFEGeom(coordField, chunkIS, quads[f], PETSC_TRUE, &geoms[f]));
6148: }
6149: }
6151: for (fieldI = 0; fieldI < Nf; ++fieldI) {
6152: PetscFE feI;
6153: PetscFEGeom *geom = affineGeom ? affineGeom : geoms[fieldI];
6154: PetscFEGeom *chunkGeom = NULL, *remGeom = NULL;
6155: PetscQuadrature quad = affineQuad ? affineQuad : quads[fieldI];
6156: PetscInt numChunks, numBatches, batchSize, numBlocks, blockSize, Ne, Nr, offset, Nq, Nb;
6157: PetscBool isCohesiveField;
6159: PetscCall(PetscDSGetDiscretization(ds, fieldI, (PetscObject *)&feI));
6160: if (!feI) continue;
6161: PetscCall(PetscFEGetTileSizes(feI, NULL, &numBlocks, NULL, &numBatches));
6162: PetscCall(PetscQuadratureGetData(quad, NULL, NULL, &Nq, NULL, NULL));
6163: PetscCall(PetscFEGetDimension(feI, &Nb));
6164: blockSize = Nb;
6165: batchSize = numBlocks * blockSize;
6166: PetscCall(PetscFESetTileSizes(feI, blockSize, numBlocks, batchSize, numBatches));
6167: numChunks = numCells / (numBatches * batchSize);
6168: Ne = numChunks * numBatches * batchSize;
6169: Nr = numCells % (numBatches * batchSize);
6170: offset = numCells - Nr;
6171: PetscCall(PetscFEGeomGetChunk(geom, 0, offset * 2, &chunkGeom));
6172: PetscCall(PetscFEGeomGetChunk(geom, offset * 2, numCells * 2, &remGeom));
6173: PetscCall(PetscDSGetCohesive(ds, fieldI, &isCohesiveField));
6174: for (fieldJ = 0; fieldJ < Nf; ++fieldJ) {
6175: PetscFE feJ;
6177: PetscCall(PetscDSGetDiscretization(ds, fieldJ, (PetscObject *)&feJ));
6178: if (!feJ) continue;
6179: key[0].field = fieldI * Nf + fieldJ;
6180: key[1].field = fieldI * Nf + fieldJ;
6181: key[2].field = fieldI * Nf + fieldJ;
6182: if (hasBdJac) {
6183: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN, key[0], 0, Ne, chunkGeom, u, u_t, dsAux[0], a[0], t, X_tShift, elemMatNeg));
6184: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN, key[0], 0, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[0], PetscSafePointerPlusOffset(a[0], offset * totDimAux[0]), t, X_tShift, &elemMatNeg[offset * totDim * totDim]));
6185: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN, key[1], 1, Ne, chunkGeom, u, u_t, dsAux[1], a[1], t, X_tShift, elemMatPos));
6186: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN, key[1], 1, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[1], PetscSafePointerPlusOffset(a[1], offset * totDimAux[1]), t, X_tShift, &elemMatPos[offset * totDim * totDim]));
6187: }
6188: if (hasBdPrec) {
6189: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN_PRE, key[0], 0, Ne, chunkGeom, u, u_t, dsAux[0], a[0], t, X_tShift, elemMatNegP));
6190: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN_PRE, key[0], 0, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[0], &a[0][offset * totDimAux[0]], t, X_tShift, &elemMatNegP[offset * totDim * totDim]));
6191: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN_PRE, key[1], 1, Ne, chunkGeom, u, u_t, dsAux[1], a[1], t, X_tShift, elemMatPosP));
6192: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN_PRE, key[1], 1, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[1], &a[1][offset * totDimAux[1]], t, X_tShift, &elemMatPosP[offset * totDim * totDim]));
6193: }
6194: if (hasBdJac) {
6195: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN, key[2], 2, Ne, chunkGeom, u, u_t, dsAux[2], a[2], t, X_tShift, elemMatCoh));
6196: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN, key[2], 2, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[2], PetscSafePointerPlusOffset(a[2], offset * totDimAux[2]), t, X_tShift, &elemMatCoh[offset * totDim * totDim]));
6197: }
6198: if (hasBdPrec) {
6199: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN_PRE, key[2], 2, Ne, chunkGeom, u, u_t, dsAux[2], a[2], t, X_tShift, elemMatCohP));
6200: PetscCall(PetscFEIntegrateHybridJacobian(ds, dsIn, PETSCFE_JACOBIAN_PRE, key[2], 2, Nr, remGeom, &u[offset * totDimIn], PetscSafePointerPlusOffset(u_t, offset * totDimIn), dsAux[2], &a[2][offset * totDimAux[2]], t, X_tShift, &elemMatCohP[offset * totDim * totDim]));
6201: }
6202: }
6203: PetscCall(PetscFEGeomRestoreChunk(geom, offset, numCells, &remGeom));
6204: PetscCall(PetscFEGeomRestoreChunk(geom, 0, offset, &chunkGeom));
6205: }
6206: /* Insert values into matrix */
6207: for (c = cS; c < cE; ++c) {
6208: const PetscInt cell = cells ? cells[c] : c;
6209: const PetscInt cind = c - cS, coff = cind * totDim * totDim;
6210: PetscInt i, j;
6212: /* Scale element values */
6213: if (locS[0]) {
6214: PetscInt Nb, soff = cind * totDimScale[0], off = 0;
6215: PetscBool cohesive;
6217: for (fieldI = 0; fieldI < Nf; ++fieldI) {
6218: PetscCall(PetscDSGetFieldSize(ds, fieldI, &Nb));
6219: PetscCall(PetscDSGetCohesive(ds, fieldI, &cohesive));
6221: if (fieldI == key[2].field) {
6222: PetscCheck(cohesive, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Scaling should not happen for face fields");
6223: for (i = 0; i < Nb; ++i) {
6224: for (j = 0; j < totDim; ++j) elemMatCoh[coff + (off + i) * totDim + j] += s[0][soff + i] * elemMatNeg[coff + (off + i) * totDim + j] + s[1][soff + i] * elemMatPos[coff + (off + i) * totDim + j];
6225: if (hasBdPrec)
6226: for (j = 0; j < totDim; ++j) elemMatCohP[coff + (off + i) * totDim + j] += s[0][soff + i] * elemMatNegP[coff + (off + i) * totDim + j] + s[1][soff + i] * elemMatPosP[coff + (off + i) * totDim + j];
6227: }
6228: off += Nb;
6229: } else {
6230: const PetscInt N = cohesive ? Nb : Nb * 2;
6232: for (i = 0; i < N; ++i) {
6233: for (j = 0; j < totDim; ++j) elemMatCoh[coff + (off + i) * totDim + j] += elemMatNeg[coff + (off + i) * totDim + j] + elemMatPos[coff + (off + i) * totDim + j];
6234: if (hasBdPrec)
6235: for (j = 0; j < totDim; ++j) elemMatCohP[coff + (off + i) * totDim + j] += elemMatNegP[coff + (off + i) * totDim + j] + elemMatPosP[coff + (off + i) * totDim + j];
6236: }
6237: off += N;
6238: }
6239: }
6240: } else {
6241: for (i = 0; i < totDim * totDim; ++i) elemMatCoh[coff + i] += elemMatNeg[coff + i] + elemMatPos[coff + i];
6242: if (hasBdPrec)
6243: for (i = 0; i < totDim * totDim; ++i) elemMatCohP[coff + i] += elemMatNegP[coff + i] + elemMatPosP[coff + i];
6244: }
6245: if (hasBdPrec) {
6246: if (hasBdJac) {
6247: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMatCoh[cind * totDim * totDim]));
6248: PetscCall(DMPlexMatSetClosure_Internal(plex, section, globalSection, mesh->useMatClPerm, Jac, cell, &elemMatCoh[cind * totDim * totDim], ADD_VALUES));
6249: }
6250: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMatCohP[cind * totDim * totDim]));
6251: PetscCall(DMPlexMatSetClosure(plex, section, globalSection, JacP, cell, &elemMatCohP[cind * totDim * totDim], ADD_VALUES));
6252: } else if (hasBdJac) {
6253: if (mesh->printFEM > 1) PetscCall(DMPrintCellMatrix(cell, name, totDim, totDim, &elemMatCoh[cind * totDim * totDim]));
6254: PetscCall(DMPlexMatSetClosure_Internal(plex, section, globalSection, mesh->useMatClPerm, JacP, cell, &elemMatCoh[cind * totDim * totDim], ADD_VALUES));
6255: }
6256: }
6257: }
6258: PetscCall(DMPlexRestoreCellFields(dm, cellIS, locX, locX_t, locA[2], &u, &u_t, &a[2]));
6259: PetscCall(DMPlexRestoreHybridFields(dm, dmAux, dsAux, cellIS, locA, PETSC_TRUE, a));
6260: PetscCall(DMRestoreWorkArray(dm, hasBdJac ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatNeg));
6261: PetscCall(DMRestoreWorkArray(dm, hasBdJac ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatPos));
6262: PetscCall(DMRestoreWorkArray(dm, hasBdJac ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatCoh));
6263: PetscCall(DMRestoreWorkArray(dm, hasBdPrec ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatNegP));
6264: PetscCall(DMRestoreWorkArray(dm, hasBdPrec ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatPosP));
6265: PetscCall(DMRestoreWorkArray(dm, hasBdPrec ? cellChunkSize * totDim * totDim : 0, MPIU_SCALAR, &elemMatCohP));
6266: PetscCall(PetscFree(faces));
6267: PetscCall(ISDestroy(&chunkIS));
6268: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
6269: if (maxDegree <= 1) {
6270: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, affineQuad, PETSC_FALSE, &affineGeom));
6271: PetscCall(PetscQuadratureDestroy(&affineQuad));
6272: } else {
6273: PetscInt f;
6274: for (f = 0; f < Nf; ++f) {
6275: if (geoms) PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, quads[f], PETSC_FALSE, &geoms[f]));
6276: if (quads) PetscCall(PetscQuadratureDestroy(&quads[f]));
6277: }
6278: PetscCall(PetscFree2(quads, geoms));
6279: }
6280: if (dmAux[2]) PetscCall(DMDestroy(&plexA));
6281: PetscCall(DMDestroy(&plex));
6282: end:
6283: PetscCall(PetscLogEventEnd(DMPLEX_JacobianFEM, dm, 0, 0, 0));
6284: PetscFunctionReturn(PETSC_SUCCESS);
6285: }
6287: /*
6288: DMPlexComputeJacobian_Action_Internal - Form the local portion of the Jacobian action Z = J(X) Y at the local solution X using pointwise functions specified by the user.
6290: Input Parameters:
6291: + dm - The mesh
6292: . key - The PetscWeakFormKey indicating where integration should happen
6293: . cellIS - The cells to integrate over
6294: . t - The time
6295: . X_tShift - The multiplier for the Jacobian with respect to X_t
6296: . X - Local solution vector
6297: . X_t - Time-derivative of the local solution vector
6298: . Y - Local input vector
6299: - user - the user context
6301: Output Parameter:
6302: . Z - Local output vector
6304: Note:
6305: We form the residual one batch of elements at a time. This allows us to offload work onto an accelerator,
6306: like a GPU, or vectorize on a multicore machine.
6307: */
6308: PetscErrorCode DMPlexComputeJacobian_Action_Internal(DM dm, PetscFormKey key, IS cellIS, PetscReal t, PetscReal X_tShift, Vec X, Vec X_t, Vec Y, Vec Z, void *user)
6309: {
6310: DM_Plex *mesh = (DM_Plex *)dm->data;
6311: const char *name = "Jacobian";
6312: DM dmAux = NULL, plex, plexAux = NULL;
6313: DMEnclosureType encAux;
6314: Vec A;
6315: DMField coordField;
6316: PetscDS prob, probAux = NULL;
6317: PetscQuadrature quad;
6318: PetscSection section, globalSection, sectionAux;
6319: PetscScalar *elemMat, *elemMatD, *u, *u_t, *a = NULL, *y, *z;
6320: const PetscInt *cells;
6321: PetscInt Nf, fieldI, fieldJ;
6322: PetscInt totDim, totDimAux = 0, cStart, cEnd, numCells, c;
6323: PetscBool hasDyn;
6325: PetscFunctionBegin;
6326: if (!cellIS) PetscFunctionReturn(PETSC_SUCCESS);
6327: PetscCall(PetscLogEventBegin(DMPLEX_JacobianFEM, dm, 0, 0, 0));
6328: PetscCall(DMConvert(dm, DMPLEX, &plex));
6329: PetscCall(ISGetLocalSize(cellIS, &numCells));
6330: PetscCall(ISGetPointRange(cellIS, &cStart, &cEnd, &cells));
6331: PetscCall(DMGetLocalSection(dm, §ion));
6332: PetscCall(DMGetGlobalSection(dm, &globalSection));
6333: PetscCall(DMGetCellDS(dm, cells ? cells[cStart] : cStart, &prob, NULL));
6334: PetscCall(PetscDSGetNumFields(prob, &Nf));
6335: PetscCall(PetscDSGetTotalDimension(prob, &totDim));
6336: PetscCall(PetscDSHasDynamicJacobian(prob, &hasDyn));
6337: hasDyn = hasDyn && (X_tShift != 0.0) ? PETSC_TRUE : PETSC_FALSE;
6338: PetscCall(DMGetAuxiliaryVec(dm, key.label, key.value, key.part, &A));
6339: if (A) {
6340: PetscCall(VecGetDM(A, &dmAux));
6341: PetscCall(DMGetEnclosureRelation(dmAux, dm, &encAux));
6342: PetscCall(DMConvert(dmAux, DMPLEX, &plexAux));
6343: PetscCall(DMGetLocalSection(plexAux, §ionAux));
6344: PetscCall(DMGetDS(dmAux, &probAux));
6345: PetscCall(PetscDSGetTotalDimension(probAux, &totDimAux));
6346: }
6347: PetscCall(VecSet(Z, 0.0));
6348: PetscCall(PetscMalloc6(numCells * totDim, &u, X_t ? numCells * totDim : 0, &u_t, numCells * totDim * totDim, &elemMat, hasDyn ? numCells * totDim * totDim : 0, &elemMatD, numCells * totDim, &y, totDim, &z));
6349: if (dmAux) PetscCall(PetscMalloc1(numCells * totDimAux, &a));
6350: PetscCall(DMGetCoordinateField(dm, &coordField));
6351: for (c = cStart; c < cEnd; ++c) {
6352: const PetscInt cell = cells ? cells[c] : c;
6353: const PetscInt cind = c - cStart;
6354: PetscScalar *x = NULL, *x_t = NULL;
6355: PetscInt i;
6357: PetscCall(DMPlexVecGetClosure(plex, section, X, cell, NULL, &x));
6358: for (i = 0; i < totDim; ++i) u[cind * totDim + i] = x[i];
6359: PetscCall(DMPlexVecRestoreClosure(plex, section, X, cell, NULL, &x));
6360: if (X_t) {
6361: PetscCall(DMPlexVecGetClosure(plex, section, X_t, cell, NULL, &x_t));
6362: for (i = 0; i < totDim; ++i) u_t[cind * totDim + i] = x_t[i];
6363: PetscCall(DMPlexVecRestoreClosure(plex, section, X_t, cell, NULL, &x_t));
6364: }
6365: if (dmAux) {
6366: PetscInt subcell;
6367: PetscCall(DMGetEnclosurePoint(dmAux, dm, encAux, cell, &subcell));
6368: PetscCall(DMPlexVecGetClosure(plexAux, sectionAux, A, subcell, NULL, &x));
6369: for (i = 0; i < totDimAux; ++i) a[cind * totDimAux + i] = x[i];
6370: PetscCall(DMPlexVecRestoreClosure(plexAux, sectionAux, A, subcell, NULL, &x));
6371: }
6372: PetscCall(DMPlexVecGetClosure(plex, section, Y, cell, NULL, &x));
6373: for (i = 0; i < totDim; ++i) y[cind * totDim + i] = x[i];
6374: PetscCall(DMPlexVecRestoreClosure(plex, section, Y, cell, NULL, &x));
6375: }
6376: PetscCall(PetscArrayzero(elemMat, numCells * totDim * totDim));
6377: if (hasDyn) PetscCall(PetscArrayzero(elemMatD, numCells * totDim * totDim));
6378: for (fieldI = 0; fieldI < Nf; ++fieldI) {
6379: PetscFE fe;
6380: PetscInt Nb;
6381: /* Conforming batches */
6382: PetscInt numChunks, numBatches, numBlocks, Ne, blockSize, batchSize;
6383: /* Remainder */
6384: PetscInt Nr, offset, Nq;
6385: PetscQuadrature qGeom = NULL;
6386: PetscInt maxDegree;
6387: PetscFEGeom *cgeomFEM, *chunkGeom = NULL, *remGeom = NULL;
6389: PetscCall(PetscDSGetDiscretization(prob, fieldI, (PetscObject *)&fe));
6390: PetscCall(PetscFEGetQuadrature(fe, &quad));
6391: PetscCall(PetscFEGetDimension(fe, &Nb));
6392: PetscCall(PetscFEGetTileSizes(fe, NULL, &numBlocks, NULL, &numBatches));
6393: PetscCall(DMFieldGetDegree(coordField, cellIS, NULL, &maxDegree));
6394: if (maxDegree <= 1) PetscCall(DMFieldCreateDefaultQuadrature(coordField, cellIS, &qGeom));
6395: if (!qGeom) {
6396: PetscCall(PetscFEGetQuadrature(fe, &qGeom));
6397: PetscCall(PetscObjectReference((PetscObject)qGeom));
6398: }
6399: PetscCall(PetscQuadratureGetData(qGeom, NULL, NULL, &Nq, NULL, NULL));
6400: PetscCall(DMSNESGetFEGeom(coordField, cellIS, qGeom, PETSC_FALSE, &cgeomFEM));
6401: blockSize = Nb;
6402: batchSize = numBlocks * blockSize;
6403: PetscCall(PetscFESetTileSizes(fe, blockSize, numBlocks, batchSize, numBatches));
6404: numChunks = numCells / (numBatches * batchSize);
6405: Ne = numChunks * numBatches * batchSize;
6406: Nr = numCells % (numBatches * batchSize);
6407: offset = numCells - Nr;
6408: PetscCall(PetscFEGeomGetChunk(cgeomFEM, 0, offset, &chunkGeom));
6409: PetscCall(PetscFEGeomGetChunk(cgeomFEM, offset, numCells, &remGeom));
6410: for (fieldJ = 0; fieldJ < Nf; ++fieldJ) {
6411: key.field = fieldI * Nf + fieldJ;
6412: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN, key, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMat));
6413: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN, key, Nr, remGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, PetscSafePointerPlusOffset(a, offset * totDimAux), t, X_tShift, &elemMat[offset * totDim * totDim]));
6414: if (hasDyn) {
6415: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_DYN, key, Ne, chunkGeom, u, u_t, probAux, a, t, X_tShift, elemMatD));
6416: PetscCall(PetscFEIntegrateJacobian(prob, PETSCFE_JACOBIAN_DYN, key, Nr, remGeom, &u[offset * totDim], PetscSafePointerPlusOffset(u_t, offset * totDim), probAux, &a[offset * totDimAux], t, X_tShift, &elemMatD[offset * totDim * totDim]));
6417: }
6418: }
6419: PetscCall(PetscFEGeomRestoreChunk(cgeomFEM, offset, numCells, &remGeom));
6420: PetscCall(PetscFEGeomRestoreChunk(cgeomFEM, 0, offset, &chunkGeom));
6421: PetscCall(DMSNESRestoreFEGeom(coordField, cellIS, qGeom, PETSC_FALSE, &cgeomFEM));
6422: PetscCall(PetscQuadratureDestroy(&qGeom));
6423: }
6424: if (hasDyn) {
6425: for (c = 0; c < numCells * totDim * totDim; ++c) elemMat[c] += X_tShift * elemMatD[c];
6426: }
6427: for (c = cStart; c < cEnd; ++c) {
6428: const PetscInt cell = cells ? cells[c] : c;
6429: const PetscInt cind = c - cStart;
6430: const PetscBLASInt M = totDim, one = 1;
6431: const PetscScalar a = 1.0, b = 0.0;
6433: PetscCallBLAS("BLASgemv", BLASgemv_("N", &M, &M, &a, &elemMat[cind * totDim * totDim], &M, &y[cind * totDim], &one, &b, z, &one));
6434: if (mesh->printFEM > 1) {
6435: PetscCall(DMPrintCellMatrix(c, name, totDim, totDim, &elemMat[cind * totDim * totDim]));
6436: PetscCall(DMPrintCellVector(c, "Y", totDim, &y[cind * totDim]));
6437: PetscCall(DMPrintCellVector(c, "Z", totDim, z));
6438: }
6439: PetscCall(DMPlexVecSetClosure(dm, section, Z, cell, z, ADD_VALUES));
6440: }
6441: PetscCall(PetscFree6(u, u_t, elemMat, elemMatD, y, z));
6442: if (mesh->printFEM) {
6443: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)Z), "Z:\n"));
6444: PetscCall(VecView(Z, NULL));
6445: }
6446: PetscCall(ISRestorePointRange(cellIS, &cStart, &cEnd, &cells));
6447: PetscCall(PetscFree(a));
6448: PetscCall(DMDestroy(&plexAux));
6449: PetscCall(DMDestroy(&plex));
6450: PetscCall(PetscLogEventEnd(DMPLEX_JacobianFEM, dm, 0, 0, 0));
6451: PetscFunctionReturn(PETSC_SUCCESS);
6452: }