Actual source code: ex19.c
1: /* Portions of this code are under:
2: Copyright (C) 2022 Advanced Micro Devices, Inc. All rights reserved.
3: */
4: static char help[] = "Nonlinear driven cavity with multigrid in 2d.\n \
5: \n\
6: The 2D driven cavity problem is solved in a velocity-vorticity formulation.\n\
7: The flow can be driven with the lid or with buoyancy or both:\n\
8: -lidvelocity <lid>, where <lid> = dimensionless velocity of lid\n\
9: -grashof <gr>, where <gr> = dimensionless temperature gradent\n\
10: -prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio\n\
11: -contours : draw contour plots of solution\n\n";
12: /* in HTML, '<' = '<' and '>' = '>' */
14: /*
15: See src/ksp/ksp/tutorials/ex45.c
16: */
18: /*F-----------------------------------------------------------------------
20: We thank David E. Keyes for contributing the driven cavity discretization within this example code.
22: This problem is modeled by the partial differential equation system
24: \begin{eqnarray}
25: - \triangle U - \nabla_y \Omega & = & 0 \\
26: - \triangle V + \nabla_x\Omega & = & 0 \\
27: - \triangle \Omega + \nabla \cdot ([U*\Omega,V*\Omega]) - GR* \nabla_x T & = & 0 \\
28: - \triangle T + PR* \nabla \cdot ([U*T,V*T]) & = & 0
29: \end{eqnarray}
31: in the unit square, which is uniformly discretized in each of x and y in this simple encoding.
33: No-slip, rigid-wall Dirichlet conditions are used for $ [U,V]$.
34: Dirichlet conditions are used for Omega, based on the definition of
35: vorticity: $ \Omega = - \nabla_y U + \nabla_x V$, where along each
36: constant coordinate boundary, the tangential derivative is zero.
37: Dirichlet conditions are used for T on the left and right walls,
38: and insulation homogeneous Neumann conditions are used for T on
39: the top and bottom walls.
41: A finite difference approximation with the usual 5-point stencil
42: is used to discretize the boundary value problem to obtain a
43: nonlinear system of equations. Upwinding is used for the divergence
44: (convective) terms and central for the gradient (source) terms.
46: The Jacobian can be either
47: * formed via finite differencing using coloring (the default), or
48: * applied matrix-free via the option -snes_mf
49: (for larger grid problems this variant may not converge
50: without a preconditioner due to ill-conditioning).
52: ------------------------------------------------------------------------F*/
54: /*
55: Include "petscdmda.h" so that we can use distributed arrays (DMDAs).
56: Include "petscsnes.h" so that we can use SNES solvers. Note that this
57: file automatically includes:
58: petscsys.h - base PETSc routines petscvec.h - vectors
59: petscmat.h - matrices
60: petscis.h - index sets petscksp.h - Krylov subspace methods
61: petscviewer.h - viewers petscpc.h - preconditioners
62: petscksp.h - linear solvers
63: */
64: #if defined(PETSC_APPLE_FRAMEWORK)
65: #import <PETSc/petscsnes.h>
66: #import <PETSc/petscdmda.h>
67: #else
68: #include <petscsnes.h>
69: #include <petscdm.h>
70: #include <petscdmda.h>
71: #endif
73: /*
74: User-defined routines and data structures
75: */
76: typedef struct {
77: PetscScalar u, v, omega, temp;
78: } Field;
80: PetscErrorCode FormFunctionLocal(DMDALocalInfo *, Field **, Field **, void *);
82: typedef struct {
83: PetscReal lidvelocity, prandtl, grashof; /* physical parameters */
84: PetscBool draw_contours; /* flag - 1 indicates drawing contours */
85: } AppCtx;
87: extern PetscErrorCode FormInitialGuess(AppCtx *, DM, Vec);
88: extern PetscErrorCode NonlinearGS(SNES, Vec, Vec, void *);
90: int main(int argc, char **argv)
91: {
92: AppCtx user; /* user-defined work context */
93: PetscInt mx, my, its;
94: MPI_Comm comm;
95: SNES snes;
96: DM da;
97: Vec x;
99: PetscFunctionBeginUser;
100: PetscCall(PetscInitialize(&argc, &argv, (char *)0, help));
101: comm = PETSC_COMM_WORLD;
102: PetscCall(SNESCreate(comm, &snes));
104: /*
105: Create distributed array object to manage parallel grid and vectors
106: for principal unknowns (x) and governing residuals (f)
107: */
108: PetscCall(DMDACreate2d(PETSC_COMM_WORLD, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DMDA_STENCIL_STAR, 4, 4, PETSC_DECIDE, PETSC_DECIDE, 4, 1, 0, 0, &da));
109: PetscCall(DMSetFromOptions(da));
110: PetscCall(DMSetUp(da));
111: PetscCall(SNESSetDM(snes, (DM)da));
112: PetscCall(SNESSetNGS(snes, NonlinearGS, (void *)&user));
114: PetscCall(DMDAGetInfo(da, 0, &mx, &my, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE, PETSC_IGNORE));
115: /*
116: Problem parameters (velocity of lid, prandtl, and grashof numbers)
117: */
118: user.lidvelocity = 1.0 / (mx * my);
119: user.prandtl = 1.0;
120: user.grashof = 1.0;
122: PetscCall(PetscOptionsGetReal(NULL, NULL, "-lidvelocity", &user.lidvelocity, NULL));
123: PetscCall(PetscOptionsGetReal(NULL, NULL, "-prandtl", &user.prandtl, NULL));
124: PetscCall(PetscOptionsGetReal(NULL, NULL, "-grashof", &user.grashof, NULL));
125: PetscCall(PetscOptionsHasName(NULL, NULL, "-contours", &user.draw_contours));
127: PetscCall(DMDASetFieldName(da, 0, "x_velocity"));
128: PetscCall(DMDASetFieldName(da, 1, "y_velocity"));
129: PetscCall(DMDASetFieldName(da, 2, "Omega"));
130: PetscCall(DMDASetFieldName(da, 3, "temperature"));
132: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
133: Create user context, set problem data, create vector data structures.
134: Also, compute the initial guess.
135: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
137: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
138: Create nonlinear solver context
140: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
141: PetscCall(DMSetApplicationContext(da, &user));
142: PetscCall(DMDASNESSetFunctionLocal(da, INSERT_VALUES, (PetscErrorCode(*)(DMDALocalInfo *, void *, void *, void *))FormFunctionLocal, &user));
143: PetscCall(SNESSetFromOptions(snes));
144: PetscCall(PetscPrintf(comm, "lid velocity = %g, prandtl # = %g, grashof # = %g\n", (double)user.lidvelocity, (double)user.prandtl, (double)user.grashof));
146: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
147: Solve the nonlinear system
148: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
149: PetscCall(DMCreateGlobalVector(da, &x));
150: PetscCall(FormInitialGuess(&user, da, x));
152: PetscCall(SNESSolve(snes, NULL, x));
154: PetscCall(SNESGetIterationNumber(snes, &its));
155: PetscCall(PetscPrintf(comm, "Number of SNES iterations = %" PetscInt_FMT "\n", its));
157: /*
158: Visualize solution
159: */
160: if (user.draw_contours) PetscCall(VecView(x, PETSC_VIEWER_DRAW_WORLD));
162: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
163: Free work space. All PETSc objects should be destroyed when they
164: are no longer needed.
165: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
166: PetscCall(VecDestroy(&x));
167: PetscCall(DMDestroy(&da));
168: PetscCall(SNESDestroy(&snes));
169: PetscCall(PetscFinalize());
170: return 0;
171: }
173: /* ------------------------------------------------------------------- */
175: /*
176: FormInitialGuess - Forms initial approximation.
178: Input Parameters:
179: user - user-defined application context
180: X - vector
182: Output Parameter:
183: X - vector
184: */
185: PetscErrorCode FormInitialGuess(AppCtx *user, DM da, Vec X)
186: {
187: PetscInt i, j, mx, xs, ys, xm, ym;
188: PetscReal grashof, dx;
189: Field **x;
191: PetscFunctionBeginUser;
192: grashof = user->grashof;
194: PetscCall(DMDAGetInfo(da, 0, &mx, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0));
195: dx = 1.0 / (mx - 1);
197: /*
198: Get local grid boundaries (for 2-dimensional DMDA):
199: xs, ys - starting grid indices (no ghost points)
200: xm, ym - widths of local grid (no ghost points)
201: */
202: PetscCall(DMDAGetCorners(da, &xs, &ys, NULL, &xm, &ym, NULL));
204: /*
205: Get a pointer to vector data.
206: - For default PETSc vectors, VecGetArray() returns a pointer to
207: the data array. Otherwise, the routine is implementation dependent.
208: - You MUST call VecRestoreArray() when you no longer need access to
209: the array.
210: */
211: PetscCall(DMDAVecGetArrayWrite(da, X, &x));
213: /*
214: Compute initial guess over the locally owned part of the grid
215: Initial condition is motionless fluid and equilibrium temperature
216: */
217: for (j = ys; j < ys + ym; j++) {
218: for (i = xs; i < xs + xm; i++) {
219: x[j][i].u = 0.0;
220: x[j][i].v = 0.0;
221: x[j][i].omega = 0.0;
222: x[j][i].temp = (grashof > 0) * i * dx;
223: }
224: }
226: /*
227: Restore vector
228: */
229: PetscCall(DMDAVecRestoreArrayWrite(da, X, &x));
230: PetscFunctionReturn(PETSC_SUCCESS);
231: }
233: PetscErrorCode FormFunctionLocal(DMDALocalInfo *info, Field **x, Field **f, void *ptr)
234: {
235: AppCtx *user = (AppCtx *)ptr;
236: PetscInt xints, xinte, yints, yinte, i, j;
237: PetscReal hx, hy, dhx, dhy, hxdhy, hydhx;
238: PetscReal grashof, prandtl, lid;
239: PetscScalar u, uxx, uyy, vx, vy, avx, avy, vxp, vxm, vyp, vym;
241: PetscFunctionBeginUser;
242: grashof = user->grashof;
243: prandtl = user->prandtl;
244: lid = user->lidvelocity;
246: /*
247: Define mesh intervals ratios for uniform grid.
249: Note: FD formulae below are normalized by multiplying through by
250: local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions.
252: */
253: dhx = (PetscReal)(info->mx - 1);
254: dhy = (PetscReal)(info->my - 1);
255: hx = 1.0 / dhx;
256: hy = 1.0 / dhy;
257: hxdhy = hx * dhy;
258: hydhx = hy * dhx;
260: xints = info->xs;
261: xinte = info->xs + info->xm;
262: yints = info->ys;
263: yinte = info->ys + info->ym;
265: /* Test whether we are on the bottom edge of the global array */
266: if (yints == 0) {
267: j = 0;
268: yints = yints + 1;
269: /* bottom edge */
270: for (i = info->xs; i < info->xs + info->xm; i++) {
271: f[j][i].u = x[j][i].u;
272: f[j][i].v = x[j][i].v;
273: f[j][i].omega = x[j][i].omega + (x[j + 1][i].u - x[j][i].u) * dhy;
274: f[j][i].temp = x[j][i].temp - x[j + 1][i].temp;
275: }
276: }
278: /* Test whether we are on the top edge of the global array */
279: if (yinte == info->my) {
280: j = info->my - 1;
281: yinte = yinte - 1;
282: /* top edge */
283: for (i = info->xs; i < info->xs + info->xm; i++) {
284: f[j][i].u = x[j][i].u - lid;
285: f[j][i].v = x[j][i].v;
286: f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j - 1][i].u) * dhy;
287: f[j][i].temp = x[j][i].temp - x[j - 1][i].temp;
288: }
289: }
291: /* Test whether we are on the left edge of the global array */
292: if (xints == 0) {
293: i = 0;
294: xints = xints + 1;
295: /* left edge */
296: for (j = info->ys; j < info->ys + info->ym; j++) {
297: f[j][i].u = x[j][i].u;
298: f[j][i].v = x[j][i].v;
299: f[j][i].omega = x[j][i].omega - (x[j][i + 1].v - x[j][i].v) * dhx;
300: f[j][i].temp = x[j][i].temp;
301: }
302: }
304: /* Test whether we are on the right edge of the global array */
305: if (xinte == info->mx) {
306: i = info->mx - 1;
307: xinte = xinte - 1;
308: /* right edge */
309: for (j = info->ys; j < info->ys + info->ym; j++) {
310: f[j][i].u = x[j][i].u;
311: f[j][i].v = x[j][i].v;
312: f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i - 1].v) * dhx;
313: f[j][i].temp = x[j][i].temp - (PetscReal)(grashof > 0);
314: }
315: }
317: /* Compute over the interior points */
318: for (j = yints; j < yinte; j++) {
319: for (i = xints; i < xinte; i++) {
320: /*
321: convective coefficients for upwinding
322: */
323: vx = x[j][i].u;
324: avx = PetscAbsScalar(vx);
325: vxp = .5 * (vx + avx);
326: vxm = .5 * (vx - avx);
327: vy = x[j][i].v;
328: avy = PetscAbsScalar(vy);
329: vyp = .5 * (vy + avy);
330: vym = .5 * (vy - avy);
332: /* U velocity */
333: u = x[j][i].u;
334: uxx = (2.0 * u - x[j][i - 1].u - x[j][i + 1].u) * hydhx;
335: uyy = (2.0 * u - x[j - 1][i].u - x[j + 1][i].u) * hxdhy;
336: f[j][i].u = uxx + uyy - .5 * (x[j + 1][i].omega - x[j - 1][i].omega) * hx;
338: /* V velocity */
339: u = x[j][i].v;
340: uxx = (2.0 * u - x[j][i - 1].v - x[j][i + 1].v) * hydhx;
341: uyy = (2.0 * u - x[j - 1][i].v - x[j + 1][i].v) * hxdhy;
342: f[j][i].v = uxx + uyy + .5 * (x[j][i + 1].omega - x[j][i - 1].omega) * hy;
344: /* Omega */
345: u = x[j][i].omega;
346: uxx = (2.0 * u - x[j][i - 1].omega - x[j][i + 1].omega) * hydhx;
347: uyy = (2.0 * u - x[j - 1][i].omega - x[j + 1][i].omega) * hxdhy;
348: f[j][i].omega = uxx + uyy + (vxp * (u - x[j][i - 1].omega) + vxm * (x[j][i + 1].omega - u)) * hy + (vyp * (u - x[j - 1][i].omega) + vym * (x[j + 1][i].omega - u)) * hx - .5 * grashof * (x[j][i + 1].temp - x[j][i - 1].temp) * hy;
350: /* Temperature */
351: u = x[j][i].temp;
352: uxx = (2.0 * u - x[j][i - 1].temp - x[j][i + 1].temp) * hydhx;
353: uyy = (2.0 * u - x[j - 1][i].temp - x[j + 1][i].temp) * hxdhy;
354: f[j][i].temp = uxx + uyy + prandtl * ((vxp * (u - x[j][i - 1].temp) + vxm * (x[j][i + 1].temp - u)) * hy + (vyp * (u - x[j - 1][i].temp) + vym * (x[j + 1][i].temp - u)) * hx);
355: }
356: }
358: /*
359: Flop count (multiply-adds are counted as 2 operations)
360: */
361: PetscCall(PetscLogFlops(84.0 * info->ym * info->xm));
362: PetscFunctionReturn(PETSC_SUCCESS);
363: }
365: /*
366: Performs sweeps of point block nonlinear Gauss-Seidel on all the local grid points
367: */
368: PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx)
369: {
370: DMDALocalInfo info;
371: Field **x, **b;
372: Vec localX, localB;
373: DM da;
374: PetscInt xints, xinte, yints, yinte, i, j, k, l;
375: PetscInt max_its, tot_its;
376: PetscInt sweeps;
377: PetscReal rtol, atol, stol;
378: PetscReal hx, hy, dhx, dhy, hxdhy, hydhx;
379: PetscReal grashof, prandtl, lid;
380: PetscScalar u, uxx, uyy, vx, vy, avx, avy, vxp, vxm, vyp, vym;
381: PetscScalar fu, fv, fomega, ftemp;
382: PetscScalar dfudu;
383: PetscScalar dfvdv;
384: PetscScalar dfodu, dfodv, dfodo;
385: PetscScalar dftdu, dftdv, dftdt;
386: PetscScalar yu = 0, yv = 0, yo = 0, yt = 0;
387: PetscScalar bjiu, bjiv, bjiomega, bjitemp;
388: PetscBool ptconverged;
389: PetscReal pfnorm, pfnorm0, pynorm, pxnorm;
390: AppCtx *user = (AppCtx *)ctx;
392: PetscFunctionBeginUser;
393: grashof = user->grashof;
394: prandtl = user->prandtl;
395: lid = user->lidvelocity;
396: tot_its = 0;
397: PetscCall(SNESNGSGetTolerances(snes, &rtol, &atol, &stol, &max_its));
398: PetscCall(SNESNGSGetSweeps(snes, &sweeps));
399: PetscCall(SNESGetDM(snes, (DM *)&da));
400: PetscCall(DMGetLocalVector(da, &localX));
401: if (B) PetscCall(DMGetLocalVector(da, &localB));
402: /*
403: Scatter ghost points to local vector, using the 2-step process
404: DMGlobalToLocalBegin(), DMGlobalToLocalEnd().
405: */
406: PetscCall(DMGlobalToLocalBegin(da, X, INSERT_VALUES, localX));
407: PetscCall(DMGlobalToLocalEnd(da, X, INSERT_VALUES, localX));
408: if (B) {
409: PetscCall(DMGlobalToLocalBegin(da, B, INSERT_VALUES, localB));
410: PetscCall(DMGlobalToLocalEnd(da, B, INSERT_VALUES, localB));
411: }
412: PetscCall(DMDAGetLocalInfo(da, &info));
413: PetscCall(DMDAVecGetArrayWrite(da, localX, &x));
414: if (B) PetscCall(DMDAVecGetArrayRead(da, localB, &b));
415: /* looks like a combination of the formfunction / formjacobian routines */
416: dhx = (PetscReal)(info.mx - 1);
417: dhy = (PetscReal)(info.my - 1);
418: hx = 1.0 / dhx;
419: hy = 1.0 / dhy;
420: hxdhy = hx * dhy;
421: hydhx = hy * dhx;
423: xints = info.xs;
424: xinte = info.xs + info.xm;
425: yints = info.ys;
426: yinte = info.ys + info.ym;
428: /* Set the boundary conditions on the momentum equations */
429: /* Test whether we are on the bottom edge of the global array */
430: if (yints == 0) {
431: j = 0;
432: /* bottom edge */
433: for (i = info.xs; i < info.xs + info.xm; i++) {
434: if (B) {
435: bjiu = b[j][i].u;
436: bjiv = b[j][i].v;
437: } else {
438: bjiu = 0.0;
439: bjiv = 0.0;
440: }
441: x[j][i].u = 0.0 + bjiu;
442: x[j][i].v = 0.0 + bjiv;
443: }
444: }
446: /* Test whether we are on the top edge of the global array */
447: if (yinte == info.my) {
448: j = info.my - 1;
449: /* top edge */
450: for (i = info.xs; i < info.xs + info.xm; i++) {
451: if (B) {
452: bjiu = b[j][i].u;
453: bjiv = b[j][i].v;
454: } else {
455: bjiu = 0.0;
456: bjiv = 0.0;
457: }
458: x[j][i].u = lid + bjiu;
459: x[j][i].v = bjiv;
460: }
461: }
463: /* Test whether we are on the left edge of the global array */
464: if (xints == 0) {
465: i = 0;
466: /* left edge */
467: for (j = info.ys; j < info.ys + info.ym; j++) {
468: if (B) {
469: bjiu = b[j][i].u;
470: bjiv = b[j][i].v;
471: } else {
472: bjiu = 0.0;
473: bjiv = 0.0;
474: }
475: x[j][i].u = 0.0 + bjiu;
476: x[j][i].v = 0.0 + bjiv;
477: }
478: }
480: /* Test whether we are on the right edge of the global array */
481: if (xinte == info.mx) {
482: i = info.mx - 1;
483: /* right edge */
484: for (j = info.ys; j < info.ys + info.ym; j++) {
485: if (B) {
486: bjiu = b[j][i].u;
487: bjiv = b[j][i].v;
488: } else {
489: bjiu = 0.0;
490: bjiv = 0.0;
491: }
492: x[j][i].u = 0.0 + bjiu;
493: x[j][i].v = 0.0 + bjiv;
494: }
495: }
497: for (k = 0; k < sweeps; k++) {
498: for (j = info.ys; j < info.ys + info.ym; j++) {
499: for (i = info.xs; i < info.xs + info.xm; i++) {
500: ptconverged = PETSC_FALSE;
501: pfnorm0 = 0.0;
502: fu = 0.0;
503: fv = 0.0;
504: fomega = 0.0;
505: ftemp = 0.0;
506: /* Run Newton's method on a single grid point */
507: for (l = 0; l < max_its && !ptconverged; l++) {
508: if (B) {
509: bjiu = b[j][i].u;
510: bjiv = b[j][i].v;
511: bjiomega = b[j][i].omega;
512: bjitemp = b[j][i].temp;
513: } else {
514: bjiu = 0.0;
515: bjiv = 0.0;
516: bjiomega = 0.0;
517: bjitemp = 0.0;
518: }
520: if (i != 0 && i != info.mx - 1 && j != 0 && j != info.my - 1) {
521: /* U velocity */
522: u = x[j][i].u;
523: uxx = (2.0 * u - x[j][i - 1].u - x[j][i + 1].u) * hydhx;
524: uyy = (2.0 * u - x[j - 1][i].u - x[j + 1][i].u) * hxdhy;
525: fu = uxx + uyy - .5 * (x[j + 1][i].omega - x[j - 1][i].omega) * hx - bjiu;
526: dfudu = 2.0 * (hydhx + hxdhy);
527: /* V velocity */
528: u = x[j][i].v;
529: uxx = (2.0 * u - x[j][i - 1].v - x[j][i + 1].v) * hydhx;
530: uyy = (2.0 * u - x[j - 1][i].v - x[j + 1][i].v) * hxdhy;
531: fv = uxx + uyy + .5 * (x[j][i + 1].omega - x[j][i - 1].omega) * hy - bjiv;
532: dfvdv = 2.0 * (hydhx + hxdhy);
533: /*
534: convective coefficients for upwinding
535: */
536: vx = x[j][i].u;
537: avx = PetscAbsScalar(vx);
538: vxp = .5 * (vx + avx);
539: vxm = .5 * (vx - avx);
540: vy = x[j][i].v;
541: avy = PetscAbsScalar(vy);
542: vyp = .5 * (vy + avy);
543: vym = .5 * (vy - avy);
544: /* Omega */
545: u = x[j][i].omega;
546: uxx = (2.0 * u - x[j][i - 1].omega - x[j][i + 1].omega) * hydhx;
547: uyy = (2.0 * u - x[j - 1][i].omega - x[j + 1][i].omega) * hxdhy;
548: fomega = uxx + uyy + (vxp * (u - x[j][i - 1].omega) + vxm * (x[j][i + 1].omega - u)) * hy + (vyp * (u - x[j - 1][i].omega) + vym * (x[j + 1][i].omega - u)) * hx - .5 * grashof * (x[j][i + 1].temp - x[j][i - 1].temp) * hy - bjiomega;
549: /* convective coefficient derivatives */
550: dfodo = 2.0 * (hydhx + hxdhy) + ((vxp - vxm) * hy + (vyp - vym) * hx);
551: if (PetscRealPart(vx) > 0.0) dfodu = (u - x[j][i - 1].omega) * hy;
552: else dfodu = (x[j][i + 1].omega - u) * hy;
554: if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j - 1][i].omega) * hx;
555: else dfodv = (x[j + 1][i].omega - u) * hx;
557: /* Temperature */
558: u = x[j][i].temp;
559: uxx = (2.0 * u - x[j][i - 1].temp - x[j][i + 1].temp) * hydhx;
560: uyy = (2.0 * u - x[j - 1][i].temp - x[j + 1][i].temp) * hxdhy;
561: ftemp = uxx + uyy + prandtl * ((vxp * (u - x[j][i - 1].temp) + vxm * (x[j][i + 1].temp - u)) * hy + (vyp * (u - x[j - 1][i].temp) + vym * (x[j + 1][i].temp - u)) * hx) - bjitemp;
562: dftdt = 2.0 * (hydhx + hxdhy) + prandtl * ((vxp - vxm) * hy + (vyp - vym) * hx);
563: if (PetscRealPart(vx) > 0.0) dftdu = prandtl * (u - x[j][i - 1].temp) * hy;
564: else dftdu = prandtl * (x[j][i + 1].temp - u) * hy;
566: if (PetscRealPart(vy) > 0.0) dftdv = prandtl * (u - x[j - 1][i].temp) * hx;
567: else dftdv = prandtl * (x[j + 1][i].temp - u) * hx;
569: /* invert the system:
570: [ dfu / du 0 0 0 ][yu] = [fu]
571: [ 0 dfv / dv 0 0 ][yv] [fv]
572: [ dfo / du dfo / dv dfo / do 0 ][yo] [fo]
573: [ dft / du dft / dv 0 dft / dt ][yt] [ft]
574: by simple back-substitution
575: */
576: yu = fu / dfudu;
577: yv = fv / dfvdv;
578: yo = (fomega - (dfodu * yu + dfodv * yv)) / dfodo;
579: yt = (ftemp - (dftdu * yu + dftdv * yv)) / dftdt;
581: x[j][i].u = x[j][i].u - yu;
582: x[j][i].v = x[j][i].v - yv;
583: x[j][i].temp = x[j][i].temp - yt;
584: x[j][i].omega = x[j][i].omega - yo;
585: }
586: if (i == 0) {
587: fomega = x[j][i].omega - (x[j][i + 1].v - x[j][i].v) * dhx - bjiomega;
588: ftemp = x[j][i].temp - bjitemp;
589: yo = fomega;
590: yt = ftemp;
591: x[j][i].omega = x[j][i].omega - fomega;
592: x[j][i].temp = x[j][i].temp - ftemp;
593: }
594: if (i == info.mx - 1) {
595: fomega = x[j][i].omega - (x[j][i].v - x[j][i - 1].v) * dhx - bjiomega;
596: ftemp = x[j][i].temp - (PetscReal)(grashof > 0) - bjitemp;
597: yo = fomega;
598: yt = ftemp;
599: x[j][i].omega = x[j][i].omega - fomega;
600: x[j][i].temp = x[j][i].temp - ftemp;
601: }
602: if (j == 0) {
603: fomega = x[j][i].omega + (x[j + 1][i].u - x[j][i].u) * dhy - bjiomega;
604: ftemp = x[j][i].temp - x[j + 1][i].temp - bjitemp;
605: yo = fomega;
606: yt = ftemp;
607: x[j][i].omega = x[j][i].omega - fomega;
608: x[j][i].temp = x[j][i].temp - ftemp;
609: }
610: if (j == info.my - 1) {
611: fomega = x[j][i].omega + (x[j][i].u - x[j - 1][i].u) * dhy - bjiomega;
612: ftemp = x[j][i].temp - x[j - 1][i].temp - bjitemp;
613: yo = fomega;
614: yt = ftemp;
615: x[j][i].omega = x[j][i].omega - fomega;
616: x[j][i].temp = x[j][i].temp - ftemp;
617: }
618: tot_its++;
619: pfnorm = PetscRealPart(fu * fu + fv * fv + fomega * fomega + ftemp * ftemp);
620: pfnorm = PetscSqrtReal(pfnorm);
621: pynorm = PetscRealPart(yu * yu + yv * yv + yo * yo + yt * yt);
622: pynorm = PetscSqrtReal(pynorm);
623: pxnorm = PetscRealPart(x[j][i].u * x[j][i].u + x[j][i].v * x[j][i].v + x[j][i].omega * x[j][i].omega + x[j][i].temp * x[j][i].temp);
624: pxnorm = PetscSqrtReal(pxnorm);
625: if (l == 0) pfnorm0 = pfnorm;
626: if (rtol * pfnorm0 > pfnorm || atol > pfnorm || pxnorm * stol > pynorm) ptconverged = PETSC_TRUE;
627: }
628: }
629: }
630: }
631: PetscCall(DMDAVecRestoreArrayWrite(da, localX, &x));
632: if (B) PetscCall(DMDAVecRestoreArrayRead(da, localB, &b));
633: PetscCall(DMLocalToGlobalBegin(da, localX, INSERT_VALUES, X));
634: PetscCall(DMLocalToGlobalEnd(da, localX, INSERT_VALUES, X));
635: PetscCall(PetscLogFlops(tot_its * (84.0 + 41.0 + 26.0)));
636: PetscCall(DMRestoreLocalVector(da, &localX));
637: if (B) PetscCall(DMRestoreLocalVector(da, &localB));
638: PetscFunctionReturn(PETSC_SUCCESS);
639: }
641: /*TEST
643: test:
644: nsize: 2
645: args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full
646: requires: !single
648: test:
649: suffix: 10
650: nsize: 3
651: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres
652: requires: !single
654: test:
655: suffix: 11
656: nsize: 4
657: requires: pastix
658: args: -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_pc_factor_mat_solver_type pastix -pc_redundant_number 2 -da_refine 4 -ksp_type fgmres
660: test:
661: suffix: 12
662: nsize: 12
663: requires: pastix
664: args: -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_pc_factor_mat_solver_type pastix -pc_redundant_number 5 -da_refine 4 -ksp_type fgmres
666: test:
667: suffix: 13
668: nsize: 3
669: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres -snes_mf_operator
670: requires: !single
672: test:
673: suffix: 14
674: nsize: 4
675: args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres
676: requires: !single
678: test:
679: suffix: 14_ds
680: nsize: 4
681: args: -snes_converged_reason -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres -mat_fd_type ds
682: output_file: output/ex19_2.out
683: requires: !single
685: test:
686: suffix: 17
687: args: -snes_monitor_short -ksp_pc_side right
688: requires: !single
690: test:
691: suffix: 18
692: args: -snes_monitor_ksp draw::draw_lg -ksp_pc_side right
693: requires: x !single
695: test:
696: suffix: 19
697: nsize: 2
698: args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc
699: requires: !single
701: test:
702: suffix: 20
703: nsize: 2
704: args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -snes_type newtontrdc -snes_trdc_use_cauchy false
705: requires: !single
707: test:
708: suffix: 2
709: nsize: 4
710: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds
711: requires: !single
713: test:
714: suffix: 2_bcols1
715: nsize: 4
716: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols
717: output_file: output/ex19_2.out
718: requires: !single
720: test:
721: suffix: 3
722: nsize: 4
723: requires: mumps
724: args: -da_refine 3 -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_ksp_type preonly -redundant_pc_factor_mat_solver_type mumps -pc_redundant_number 2
726: test:
727: suffix: 4
728: nsize: 12
729: requires: mumps
730: args: -da_refine 3 -snes_monitor_short -pc_type redundant -dm_mat_type mpiaij -redundant_ksp_type preonly -redundant_pc_factor_mat_solver_type mumps -pc_redundant_number 5
731: output_file: output/ex19_3.out
733: test:
734: suffix: 6
735: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1
736: requires: !single
738: test:
739: suffix: 7
740: nsize: 3
741: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres
743: requires: !single
744: test:
745: suffix: 8
746: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_block_size 2 -pc_fieldsplit_0_fields 0,1 -pc_fieldsplit_1_fields 0,1 -pc_fieldsplit_type multiplicative -snes_view -fieldsplit_pc_type lu -da_refine 1 -ksp_type fgmres
747: requires: !single
749: test:
750: suffix: 9
751: nsize: 3
752: args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres
753: requires: !single
755: test:
756: suffix: aspin
757: nsize: 4
758: args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short -npc_sub_ksp_type preonly -npc_sub_pc_type lu
759: requires: !single
761: test:
762: suffix: bcgsl
763: nsize: 2
764: args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view
765: requires: !single
767: test:
768: suffix: bcols1
769: nsize: 2
770: args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1
771: output_file: output/ex19_1.out
772: requires: !single
774: test:
775: suffix: bjacobi
776: nsize: 4
777: args: -da_refine 4 -ksp_type fgmres -pc_type bjacobi -pc_bjacobi_blocks 2 -sub_ksp_type gmres -sub_ksp_max_it 2 -sub_pc_type bjacobi -sub_sub_ksp_type preonly -sub_sub_pc_type ilu -snes_monitor_short
778: requires: !single
780: test:
781: suffix: cgne
782: args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned
783: filter: grep -v HERMITIAN
784: requires: !single
786: test:
787: suffix: cgs
788: args: -da_refine 1 -ksp_monitor_short -ksp_type cgs
789: requires: !single
791: test:
792: suffix: composite_fieldsplit
793: args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,none -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -snes_monitor_short -ksp_monitor_short
794: requires: !single
796: test:
797: suffix: composite_fieldsplit_bjacobi
798: args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,bjacobi -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -sub_1_pc_bjacobi_blocks 16 -sub_1_sub_pc_type lu -snes_monitor_short -ksp_monitor_short
799: requires: !single
801: test:
802: suffix: composite_fieldsplit_bjacobi_2
803: nsize: 4
804: args: -ksp_type fgmres -pc_type composite -pc_composite_type MULTIPLICATIVE -pc_composite_pcs fieldsplit,bjacobi -sub_0_pc_fieldsplit_block_size 4 -sub_0_pc_fieldsplit_type additive -sub_0_pc_fieldsplit_0_fields 0,1,2 -sub_0_pc_fieldsplit_1_fields 3 -sub_1_pc_bjacobi_blocks 16 -sub_1_sub_pc_type lu -snes_monitor_short -ksp_monitor_short
805: requires: !single
807: test:
808: suffix: composite_gs_newton
809: nsize: 2
810: args: -da_refine 3 -grashof 4e4 -lidvelocity 100 -snes_monitor_short -snes_type composite -snes_composite_type additiveoptimal -snes_composite_sneses ngs,newtonls -sub_0_snes_max_it 20 -sub_1_pc_type mg
811: requires: !single
813: test:
814: suffix: cuda
815: requires: cuda !single
816: args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5
818: test:
819: suffix: hip
820: requires: hip !single
821: args: -dm_vec_type hip -dm_mat_type aijhipsparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5
823: test:
824: suffix: draw
825: args: -pc_type fieldsplit -snes_view draw -fieldsplit_x_velocity_pc_type mg -fieldsplit_x_velocity_pc_mg_galerkin pmat -fieldsplit_x_velocity_pc_mg_levels 2 -da_refine 1 -fieldsplit_x_velocity_mg_coarse_pc_type svd
826: requires: x !single
828: test:
829: suffix: drawports
830: args: -snes_monitor_solution draw::draw_ports -da_refine 1
831: output_file: output/ex19_draw.out
832: requires: x !single
834: test:
835: suffix: fas
836: args: -da_refine 4 -snes_monitor_short -snes_type fas -fas_levels_snes_type ngs -fas_levels_snes_ngs_sweeps 3 -fas_levels_snes_ngs_atol 0.0 -fas_levels_snes_ngs_stol 0.0 -grashof 4e4 -snes_fas_smoothup 6 -snes_fas_smoothdown 6 -lidvelocity 100
837: requires: !single
839: test:
840: suffix: fas_full
841: args: -da_refine 4 -snes_monitor_short -snes_type fas -snes_fas_type full -snes_fas_full_downsweep -fas_levels_snes_type ngs -fas_levels_snes_ngs_sweeps 3 -fas_levels_snes_ngs_atol 0.0 -fas_levels_snes_ngs_stol 0.0 -grashof 4e4 -snes_fas_smoothup 6 -snes_fas_smoothdown 6 -lidvelocity 100
842: requires: !single
844: test:
845: suffix: fdcoloring_ds
846: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds
847: output_file: output/ex19_2.out
848: requires: !single
850: test:
851: suffix: fdcoloring_ds_baij
852: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij
853: output_file: output/ex19_2.out
854: requires: !single
856: test:
857: suffix: fdcoloring_ds_bcols1
858: args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1
859: output_file: output/ex19_2.out
860: requires: !single
862: test:
863: suffix: fdcoloring_wp
864: args: -da_refine 3 -snes_monitor_short -pc_type mg
865: requires: !single
867: test:
868: suffix: fdcoloring_wp_baij
869: args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij
870: output_file: output/ex19_fdcoloring_wp.out
871: requires: !single
873: test:
874: suffix: fdcoloring_wp_bcols1
875: args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1
876: output_file: output/ex19_fdcoloring_wp.out
877: requires: !single
879: test:
880: suffix: fieldsplit_2
881: args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type additive -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -snes_monitor_short -ksp_monitor_short
882: requires: !single
884: test:
885: suffix: fieldsplit_3
886: args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type additive -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short
887: requires: !single
889: test:
890: suffix: fieldsplit_4
891: args: -ksp_type fgmres -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short
892: requires: !single
894: # HYPRE PtAP broken with complex numbers
895: test:
896: suffix: fieldsplit_hypre
897: nsize: 2
898: requires: hypre mumps !complex !defined(PETSC_HAVE_HYPRE_DEVICE)
899: args: -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_0_pc_factor_mat_solver_type mumps -fieldsplit_1_pc_type hypre -fieldsplit_1_pc_hypre_type boomeramg -snes_monitor_short -ksp_monitor_short
901: test:
902: suffix: fieldsplit_mumps
903: nsize: 2
904: requires: mumps
905: args: -pc_type fieldsplit -pc_fieldsplit_block_size 4 -pc_fieldsplit_type SCHUR -pc_fieldsplit_0_fields 0,1,2 -pc_fieldsplit_1_fields 3 -fieldsplit_0_pc_type lu -fieldsplit_1_pc_type lu -snes_monitor_short -ksp_monitor_short -fieldsplit_0_pc_factor_mat_solver_type mumps -fieldsplit_1_pc_factor_mat_solver_type mumps
906: output_file: output/ex19_fieldsplit_5.out
908: test:
909: suffix: greedy_coloring
910: nsize: 2
911: args: -da_refine 3 -snes_monitor_short -snes_fd_color -snes_fd_color_use_mat -mat_coloring_type greedy -mat_coloring_weight_type lf -mat_coloring_view> ex19_greedy_coloring.tmp 2>&1
912: requires: !single
914: # HYPRE PtAP broken with complex numbers
915: test:
916: suffix: hypre
917: nsize: 2
918: requires: hypre !complex !defined(PETSC_HAVE_HYPRE_DEVICE)
919: args: -da_refine 3 -snes_monitor_short -pc_type hypre -ksp_norm_type unpreconditioned
921: # ibcgs is broken when using device vectors
922: test:
923: suffix: ibcgs
924: nsize: 2
925: args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view
926: requires: !complex !single
928: test:
929: suffix: kaczmarz
930: nsize: 2
931: args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view
932: requires: !single
934: test:
935: suffix: klu
936: requires: suitesparse
937: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu
938: output_file: output/ex19_superlu.out
940: test:
941: suffix: klu_2
942: requires: suitesparse
943: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -pc_factor_mat_ordering_type nd
944: output_file: output/ex19_superlu.out
946: test:
947: suffix: klu_3
948: requires: suitesparse
949: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0
950: output_file: output/ex19_superlu.out
952: test:
953: suffix: ml
954: nsize: 2
955: requires: ml
956: args: -da_refine 3 -snes_monitor_short -pc_type ml
958: test:
959: suffix: ngmres_fas
960: args: -da_refine 4 -snes_monitor_short -snes_type ngmres -npc_fas_levels_snes_type ngs -npc_fas_levels_snes_ngs_sweeps 3 -npc_fas_levels_snes_ngs_atol 0.0 -npc_fas_levels_snes_ngs_stol 0.0 -npc_snes_type fas -npc_fas_levels_snes_type ngs -npc_snes_max_it 1 -npc_snes_fas_smoothup 6 -npc_snes_fas_smoothdown 6 -lidvelocity 100 -grashof 4e4
961: requires: !single
963: test:
964: suffix: ngmres_fas_gssecant
965: args: -da_refine 3 -snes_monitor_short -snes_type ngmres -npc_snes_type fas -npc_fas_levels_snes_type ngs -npc_fas_levels_snes_max_it 6 -npc_fas_levels_snes_ngs_secant -npc_fas_levels_snes_ngs_max_it 1 -npc_fas_coarse_snes_max_it 1 -lidvelocity 100 -grashof 4e4
966: requires: !single
968: test:
969: suffix: ngmres_fas_ms
970: nsize: 2
971: args: -snes_grid_sequence 2 -lidvelocity 200 -grashof 1e4 -snes_monitor_short -snes_view -snes_converged_reason -snes_type ngmres -npc_snes_type fas -npc_fas_coarse_snes_type newtonls -npc_fas_coarse_ksp_type preonly -npc_snes_max_it 1
972: requires: !single
974: test:
975: suffix: ngmres_nasm
976: nsize: 4
977: args: -da_refine 4 -da_overlap 2 -snes_monitor_short -snes_type ngmres -snes_max_it 10 -npc_snes_type nasm -npc_snes_nasm_type basic -grashof 4e4 -lidvelocity 100
978: requires: !single
980: test:
981: suffix: ngs
982: args: -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4
983: requires: !single
985: test:
986: suffix: ngs_fd
987: args: -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4
988: requires: !single
990: test:
991: suffix: parms
992: nsize: 2
993: requires: parms
994: args: -pc_type parms -ksp_monitor_short -snes_view
996: test:
997: suffix: superlu
998: requires: superlu
999: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu
1001: test:
1002: suffix: superlu_sell
1003: requires: superlu
1004: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu -dm_mat_type sell -pc_factor_mat_ordering_type natural
1005: output_file: output/ex19_superlu.out
1007: test:
1008: suffix: superlu_dist
1009: requires: superlu_dist
1010: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist
1011: output_file: output/ex19_superlu.out
1013: test:
1014: suffix: superlu_dist_2
1015: nsize: 2
1016: requires: superlu_dist
1017: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist
1018: output_file: output/ex19_superlu.out
1020: test:
1021: suffix: superlu_dist_3d
1022: nsize: 4
1023: requires: superlu_dist !defined(PETSCTEST_VALGRIND)
1024: filter: grep -v iam | grep -v openMP
1025: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist -mat_superlu_dist_3d -mat_superlu_dist_d 2 -snes_view -snes_monitor -ksp_monitor
1027: test:
1028: suffix: superlu_dist_2s
1029: nsize: 2
1030: requires: superlu_dist defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
1031: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist -pc_precision single
1032: output_file: output/ex19_superlu.out
1034: test:
1035: suffix: superlu_dist_3ds
1036: nsize: 4
1037: requires: superlu_dist !defined(PETSCTEST_VALGRIND) defined(PETSC_HAVE_SUPERLU_DIST_SINGLE)
1038: filter: grep -v iam | grep -v openMP
1039: args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist -mat_superlu_dist_3d -mat_superlu_dist_d 2 -snes_view -snes_monitor -ksp_monitor -pc_precision single
1041: test:
1042: suffix: superlu_equil
1043: requires: superlu
1044: args: -da_grid_x 20 -da_grid_y 20 -{snes,ksp}_monitor_short -pc_type lu -pc_factor_mat_solver_type superlu -mat_superlu_equil
1046: test:
1047: suffix: superlu_equil_sell
1048: requires: superlu
1049: args: -da_grid_x 20 -da_grid_y 20 -{snes,ksp}_monitor_short -pc_type lu -pc_factor_mat_solver_type superlu -mat_superlu_equil -dm_mat_type sell -pc_factor_mat_ordering_type natural
1050: output_file: output/ex19_superlu_equil.out
1052: test:
1053: suffix: tcqmr
1054: args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr
1055: requires: !single
1057: test:
1058: suffix: tfqmr
1059: args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr
1060: requires: !single
1062: test:
1063: suffix: umfpack
1064: requires: suitesparse
1065: args: -da_refine 2 -pc_type lu -pc_factor_mat_solver_type umfpack -snes_view -snes_monitor_short -ksp_monitor_short -pc_factor_mat_ordering_type external
1067: test:
1068: suffix: tut_1
1069: nsize: 4
1070: requires: !single
1071: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view
1073: test:
1074: suffix: tut_2
1075: nsize: 4
1076: requires: !single
1077: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type mg
1079: # HYPRE PtAP broken with complex numbers
1080: test:
1081: suffix: tut_3
1082: nsize: 4
1083: requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE)
1084: args: -da_refine 5 -snes_monitor -snes_converged_reason -pc_type hypre -dm_mat_type {{aij baij}}
1086: test:
1087: suffix: tut_3_seq
1088: nsize: 1
1089: requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_DEVICE)
1090: args: -da_refine 1 -snes_monitor -snes_converged_reason -pc_type hypre -dm_mat_type {{seqaij mpiaij seqbaij mpibaij}}
1092: test:
1093: suffix: tut_8
1094: nsize: 4
1095: requires: ml !single
1096: args: -da_refine 5 -snes_monitor -ksp_monitor -snes_view -pc_type ml
1098: test:
1099: suffix: tut_4
1100: nsize: 1
1101: requires: !single
1102: args: -da_refine 5 -log_view
1103: filter: head -n 2
1104: filter_output: head -n 2
1106: test:
1107: suffix: tut_5
1108: nsize: 1
1109: requires: !single
1110: args: -da_refine 5 -log_view -pc_type mg
1111: filter: head -n 2
1112: filter_output: head -n 2
1114: test:
1115: suffix: tut_6
1116: nsize: 4
1117: requires: !single
1118: args: -da_refine 5 -log_view
1119: filter: head -n 2
1120: filter_output: head -n 2
1122: test:
1123: suffix: tut_7
1124: nsize: 4
1125: requires: !single
1126: args: -da_refine 5 -log_view -pc_type mg
1127: filter: head -n 2
1128: filter_output: head -n 2
1130: test:
1131: suffix: cuda_1
1132: nsize: 1
1133: requires: cuda
1134: args: -snes_monitor -dm_mat_type seqaijcusparse -dm_vec_type seqcuda -pc_type gamg -ksp_monitor -mg_levels_ksp_max_it 1
1136: test:
1137: suffix: cuda_2
1138: nsize: 3
1139: requires: cuda !single
1140: args: -snes_monitor -dm_mat_type mpiaijcusparse -dm_vec_type mpicuda -pc_type gamg -ksp_monitor -mg_levels_ksp_max_it 1
1142: test:
1143: suffix: cuda_dm_bind_below
1144: nsize: 2
1145: requires: cuda defined(PETSC_USE_LOG)
1146: args: -dm_mat_type aijcusparse -dm_vec_type cuda -da_refine 3 -pc_type mg -mg_levels_ksp_type chebyshev -mg_levels_pc_type jacobi -log_view -pc_mg_log -dm_bind_below 10000
1147: filter: awk "/Level/ {print \$NF}"
1149: test:
1150: suffix: hip_1
1151: nsize: 1
1152: requires: hip
1153: args: -snes_monitor -dm_mat_type mpiaijhipsparse -dm_vec_type hip -pc_type gamg -ksp_monitor -mg_levels_ksp_max_it 1
1155: test:
1156: suffix: hip_2
1157: nsize: 3
1158: requires: hip !single
1159: args: -snes_monitor -dm_mat_type mpiaijhipsparse -dm_vec_type mpihip -pc_type gamg -ksp_monitor -mg_levels_ksp_max_it 1
1161: test:
1162: suffix: hip_dm_bind_below
1163: nsize: 2
1164: requires: hip
1165: args: -dm_mat_type aijhipsparse -dm_vec_type hip -da_refine 3 -pc_type mg -mg_levels_ksp_type chebyshev -mg_levels_pc_type jacobi -log_view -pc_mg_log -dm_bind_below 10000
1166: filter: awk "/Level/ {print \$NF}"
1168: test:
1169: suffix: viennacl_dm_bind_below
1170: nsize: 2
1171: requires: viennacl
1172: args: -dm_mat_type aijviennacl -dm_vec_type viennacl -da_refine 3 -pc_type mg -mg_levels_ksp_type chebyshev -mg_levels_pc_type jacobi -log_view -pc_mg_log -dm_bind_below 10000
1173: filter: awk "/Level/ {print \$NF}"
1175: test:
1176: suffix: seqbaijmkl
1177: nsize: 1
1178: requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
1179: args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view
1181: test:
1182: suffix: mpibaijmkl
1183: nsize: 2
1184: requires: defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
1185: args: -dm_mat_type baij -snes_monitor -ksp_monitor -snes_view
1187: test:
1188: suffix: cpardiso
1189: nsize: 4
1190: requires: mkl_cpardiso
1191: args: -pc_type lu -pc_factor_mat_solver_type mkl_cpardiso -ksp_monitor
1193: test:
1194: suffix: logviewmemory
1195: requires: defined(PETSC_USE_LOG) !defined(PETSC_HAVE_THREADSAFETY)
1196: args: -log_view -log_view_memory -da_refine 4
1197: filter: grep MatFDColorSetUp | wc -w | xargs -I % sh -c "expr % \> 21"
1199: test:
1200: suffix: fs
1201: requires: !single
1202: args: -pc_type fieldsplit -da_refine 3 -all_ksp_monitor -fieldsplit_y_velocity_pc_type lu -fieldsplit_temperature_pc_type lu -fieldsplit_x_velocity_pc_type lu -snes_view
1204: test:
1205: suffix: asm_matconvert
1206: args: -mat_type aij -pc_type asm -pc_asm_sub_mat_type dense -snes_view
1208: test:
1209: suffix: euclid
1210: nsize: 2
1211: requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE)
1212: args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid
1214: test:
1215: suffix: euclid_bj
1216: nsize: 2
1217: requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE)
1218: args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_bj
1220: test:
1221: suffix: euclid_droptolerance
1222: nsize: 1
1223: requires: hypre !single !complex !defined(PETSC_HAVE_HYPRE_MIXEDINT) !defined(PETSC_HAVE_HYPRE_DEVICE)
1224: args: -da_refine 2 -ksp_monitor -snes_monitor -snes_view -pc_type hypre -pc_hypre_type euclid -pc_hypre_euclid_droptolerance .1
1226: test:
1227: suffix: failure_size
1228: nsize: 1
1229: requires: !defined(PETSC_USE_64BIT_INDICES) !defined(PETSCTEST_VALGRIND)
1230: args: -da_refine 100 -petsc_ci_portable_error_output -error_output_stdout
1231: filter: grep -E -v "(memory block|leaked context|not freed before MPI_Finalize|Could be the program crashed)"
1233: testset:
1234: requires: hpddm cuda
1235: args: -snes_monitor -ksp_converged_reason -ksp_type hpddm -pc_type jacobi -dm_mat_type aijcusparse -dm_vec_type cuda
1236: test:
1237: suffix: hpddm_cuda
1238: filter: sed -e "s/Linear solve converged due to CONVERGED_RTOL iterations 15/Linear solve converged due to CONVERGED_RTOL iterations 14/g"
1239: args: -ksp_hpddm_type {{gmres gcrodr}separate output} -ksp_hpddm_precision {{single double}shared output}
1240: test:
1241: suffix: hpddm_cuda_right
1242: filter: sed -e "s/Linear solve converged due to CONVERGED_RTOL iterations 15/Linear solve converged due to CONVERGED_RTOL iterations 14/g"
1243: args: -ksp_hpddm_type gcrodr -ksp_pc_side right
1244: output_file: output/ex19_hpddm_cuda_ksp_hpddm_type-gcrodr.out
1246: TEST*/