static char help[] = "Nonlinear driven cavity with multigrid in 2d.\n \ \n\ The 2D driven cavity problem is solved in a velocity-vorticity formulation.\n\ The flow can be driven with the lid or with bouyancy or both:\n\ -lidvelocity <lid>, where <lid> = dimensionless velocity of lid\n\ -grashof <gr>, where <gr> = dimensionless temperature gradent\n\ -prandtl <pr>, where <pr> = dimensionless thermal/momentum diffusity ratio\n\ -contours : draw contour plots of solution\n\n"; /* in HTML, '<' = '<' and '>' = '>' */ /* See src/ksp/ksp/examples/tutorials/ex45.c */ /*T Concepts: SNES^solving a system of nonlinear equations (parallel multicomponent example); Concepts: DMDA^using distributed arrays; Concepts: multicomponent Processors: n T*/ /*F----------------------------------------------------------------------- We thank David E. Keyes for contributing the driven cavity discretization within this example code. This problem is modeled by the partial differential equation system \begin{eqnarray} - \triangle U - \nabla_y \Omega & = & 0 \\ - \triangle V + \nabla_x\Omega & = & 0 \\ - \triangle \Omega + \nabla \cdot ([U*\Omega,V*\Omega]) - GR* \nabla_x T & = & 0 \\ - \triangle T + PR* \nabla \cdot ([U*T,V*T]) & = & 0 \end{eqnarray} in the unit square, which is uniformly discretized in each of x and y in this simple encoding. No-slip, rigid-wall Dirichlet conditions are used for $[U,V]$. Dirichlet conditions are used for Omega, based on the definition of vorticity: $\Omega = - \nabla_y U + \nabla_x V$, where along each constant coordinate boundary, the tangential derivative is zero. Dirichlet conditions are used for T on the left and right walls, and insulation homogeneous Neumann conditions are used for T on the top and bottom walls. A finite difference approximation with the usual 5-point stencil is used to discretize the boundary value problem to obtain a nonlinear system of equations. Upwinding is used for the divergence (convective) terms and central for the gradient (source) terms. The Jacobian can be either * formed via finite differencing using coloring (the default), or * applied matrix-free via the option -snes_mf (for larger grid problems this variant may not converge without a preconditioner due to ill-conditioning). ------------------------------------------------------------------------F*/ /* Include "petscdmda.h" so that we can use distributed arrays (DMDAs). Include "petscsnes.h" so that we can use SNES solvers. Note that this file automatically includes: petscsys.h - base PETSc routines petscvec.h - vectors petscmat.h - matrices petscis.h - index sets petscksp.h - Krylov subspace methods petscviewer.h - viewers petscpc.h - preconditioners petscksp.h - linear solvers */ #if defined(PETSC_APPLE_FRAMEWORK) #import #import #else #include #include #include #endif /* User-defined routines and data structures */ typedef struct { PetscScalar u,v,omega,temp; } Field; PetscErrorCode FormFunctionLocal(DMDALocalInfo*,Field**,Field**,void*); typedef struct { PetscReal lidvelocity,prandtl,grashof; /* physical parameters */ PetscBool draw_contours; /* flag - 1 indicates drawing contours */ } AppCtx; extern PetscErrorCode FormInitialGuess(AppCtx*,DM,Vec); extern PetscErrorCode NonlinearGS(SNES,Vec,Vec,void*); int main(int argc,char **argv) { AppCtx user; /* user-defined work context */ PetscInt mx,my,its; PetscErrorCode ierr; MPI_Comm comm; SNES snes; DM da; Vec x; ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return(1); PetscFunctionBeginUser; comm = PETSC_COMM_WORLD; ierr = SNESCreate(comm,&snes);CHKERRQ(ierr); /* Create distributed array object to manage parallel grid and vectors for principal unknowns (x) and governing residuals (f) */ ierr = DMDACreate2d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,DM_BOUNDARY_NONE,DMDA_STENCIL_STAR,4,4,PETSC_DECIDE,PETSC_DECIDE,4,1,0,0,&da);CHKERRQ(ierr); ierr = DMSetFromOptions(da);CHKERRQ(ierr); ierr = DMSetUp(da);CHKERRQ(ierr); ierr = SNESSetDM(snes,(DM)da);CHKERRQ(ierr); ierr = SNESSetNGS(snes, NonlinearGS, (void*)&user);CHKERRQ(ierr); ierr = 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);CHKERRQ(ierr); /* Problem parameters (velocity of lid, prandtl, and grashof numbers) */ user.lidvelocity = 1.0/(mx*my); user.prandtl = 1.0; user.grashof = 1.0; ierr = PetscOptionsGetReal(NULL,NULL,"-lidvelocity",&user.lidvelocity,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetReal(NULL,NULL,"-prandtl",&user.prandtl,NULL);CHKERRQ(ierr); ierr = PetscOptionsGetReal(NULL,NULL,"-grashof",&user.grashof,NULL);CHKERRQ(ierr); ierr = PetscOptionsHasName(NULL,NULL,"-contours",&user.draw_contours);CHKERRQ(ierr); ierr = DMDASetFieldName(da,0,"x_velocity");CHKERRQ(ierr); ierr = DMDASetFieldName(da,1,"y_velocity");CHKERRQ(ierr); ierr = DMDASetFieldName(da,2,"Omega");CHKERRQ(ierr); ierr = DMDASetFieldName(da,3,"temperature");CHKERRQ(ierr); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Create user context, set problem data, create vector data structures. Also, compute the initial guess. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Create nonlinear solver context - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = DMSetApplicationContext(da,&user);CHKERRQ(ierr); ierr = DMDASNESSetFunctionLocal(da,INSERT_VALUES,(PetscErrorCode (*)(DMDALocalInfo*,void*,void*,void*))FormFunctionLocal,&user);CHKERRQ(ierr); ierr = SNESSetFromOptions(snes);CHKERRQ(ierr); ierr = PetscPrintf(comm,"lid velocity = %g, prandtl # = %g, grashof # = %g\n",(double)user.lidvelocity,(double)user.prandtl,(double)user.grashof);CHKERRQ(ierr); /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Solve the nonlinear system - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = DMCreateGlobalVector(da,&x);CHKERRQ(ierr); ierr = FormInitialGuess(&user,da,x);CHKERRQ(ierr); ierr = SNESSolve(snes,NULL,x);CHKERRQ(ierr); ierr = SNESGetIterationNumber(snes,&its);CHKERRQ(ierr); ierr = PetscPrintf(comm,"Number of SNES iterations = %D\n", its);CHKERRQ(ierr); /* Visualize solution */ if (user.draw_contours) { ierr = VecView(x,PETSC_VIEWER_DRAW_WORLD);CHKERRQ(ierr); } /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Free work space. All PETSc objects should be destroyed when they are no longer needed. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ ierr = VecDestroy(&x);CHKERRQ(ierr); ierr = DMDestroy(&da);CHKERRQ(ierr); ierr = SNESDestroy(&snes);CHKERRQ(ierr); ierr = PetscFinalize(); return ierr; } /* ------------------------------------------------------------------- */ /* FormInitialGuess - Forms initial approximation. Input Parameters: user - user-defined application context X - vector Output Parameter: X - vector */ PetscErrorCode FormInitialGuess(AppCtx *user,DM da,Vec X) { PetscInt i,j,mx,xs,ys,xm,ym; PetscErrorCode ierr; PetscReal grashof,dx; Field **x; PetscFunctionBeginUser; grashof = user->grashof; ierr = DMDAGetInfo(da,0,&mx,0,0,0,0,0,0,0,0,0,0,0);CHKERRQ(ierr); dx = 1.0/(mx-1); /* Get local grid boundaries (for 2-dimensional DMDA): xs, ys - starting grid indices (no ghost points) xm, ym - widths of local grid (no ghost points) */ ierr = DMDAGetCorners(da,&xs,&ys,NULL,&xm,&ym,NULL);CHKERRQ(ierr); /* Get a pointer to vector data. - For default PETSc vectors, VecGetArray() returns a pointer to the data array. Otherwise, the routine is implementation dependent. - You MUST call VecRestoreArray() when you no longer need access to the array. */ ierr = DMDAVecGetArray(da,X,&x);CHKERRQ(ierr); /* Compute initial guess over the locally owned part of the grid Initial condition is motionless fluid and equilibrium temperature */ for (j=ys; j0)*i*dx; } } /* Restore vector */ ierr = DMDAVecRestoreArray(da,X,&x);CHKERRQ(ierr); PetscFunctionReturn(0); } PetscErrorCode FormFunctionLocal(DMDALocalInfo *info,Field **x,Field **f,void *ptr) { AppCtx *user = (AppCtx*)ptr; PetscErrorCode ierr; PetscInt xints,xinte,yints,yinte,i,j; PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; PetscReal grashof,prandtl,lid; PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; PetscFunctionBeginUser; grashof = user->grashof; prandtl = user->prandtl; lid = user->lidvelocity; /* Define mesh intervals ratios for uniform grid. Note: FD formulae below are normalized by multiplying through by local volume element (i.e. hx*hy) to obtain coefficients O(1) in two dimensions. */ dhx = (PetscReal)(info->mx-1); dhy = (PetscReal)(info->my-1); hx = 1.0/dhx; hy = 1.0/dhy; hxdhy = hx*dhy; hydhx = hy*dhx; xints = info->xs; xinte = info->xs+info->xm; yints = info->ys; yinte = info->ys+info->ym; /* Test whether we are on the bottom edge of the global array */ if (yints == 0) { j = 0; yints = yints + 1; /* bottom edge */ for (i=info->xs; ixs+info->xm; i++) { f[j][i].u = x[j][i].u; f[j][i].v = x[j][i].v; f[j][i].omega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy; f[j][i].temp = x[j][i].temp-x[j+1][i].temp; } } /* Test whether we are on the top edge of the global array */ if (yinte == info->my) { j = info->my - 1; yinte = yinte - 1; /* top edge */ for (i=info->xs; ixs+info->xm; i++) { f[j][i].u = x[j][i].u - lid; f[j][i].v = x[j][i].v; f[j][i].omega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy; f[j][i].temp = x[j][i].temp-x[j-1][i].temp; } } /* Test whether we are on the left edge of the global array */ if (xints == 0) { i = 0; xints = xints + 1; /* left edge */ for (j=info->ys; jys+info->ym; j++) { f[j][i].u = x[j][i].u; f[j][i].v = x[j][i].v; f[j][i].omega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx; f[j][i].temp = x[j][i].temp; } } /* Test whether we are on the right edge of the global array */ if (xinte == info->mx) { i = info->mx - 1; xinte = xinte - 1; /* right edge */ for (j=info->ys; jys+info->ym; j++) { f[j][i].u = x[j][i].u; f[j][i].v = x[j][i].v; f[j][i].omega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx; f[j][i].temp = x[j][i].temp - (PetscReal)(grashof>0); } } /* Compute over the interior points */ for (j=yints; jym*info->xm);CHKERRQ(ierr); PetscFunctionReturn(0); } PetscErrorCode NonlinearGS(SNES snes, Vec X, Vec B, void *ctx) { DMDALocalInfo info; Field **x,**b; PetscErrorCode ierr; Vec localX, localB; DM da; PetscInt xints,xinte,yints,yinte,i,j,k,l; PetscInt max_its,tot_its; PetscInt sweeps; PetscReal rtol,atol,stol; PetscReal hx,hy,dhx,dhy,hxdhy,hydhx; PetscReal grashof,prandtl,lid; PetscScalar u,uxx,uyy,vx,vy,avx,avy,vxp,vxm,vyp,vym; PetscScalar fu, fv, fomega, ftemp; PetscScalar dfudu; PetscScalar dfvdv; PetscScalar dfodu, dfodv, dfodo; PetscScalar dftdu, dftdv, dftdt; PetscScalar yu=0, yv=0, yo=0, yt=0; PetscScalar bjiu, bjiv, bjiomega, bjitemp; PetscBool ptconverged; PetscReal pfnorm,pfnorm0,pynorm,pxnorm; AppCtx *user = (AppCtx*)ctx; PetscFunctionBeginUser; grashof = user->grashof; prandtl = user->prandtl; lid = user->lidvelocity; tot_its = 0; ierr = SNESNGSGetTolerances(snes,&rtol,&atol,&stol,&max_its);CHKERRQ(ierr); ierr = SNESNGSGetSweeps(snes,&sweeps);CHKERRQ(ierr); ierr = SNESGetDM(snes,(DM*)&da);CHKERRQ(ierr); ierr = DMGetLocalVector(da,&localX);CHKERRQ(ierr); if (B) { ierr = DMGetLocalVector(da,&localB);CHKERRQ(ierr); } /* Scatter ghost points to local vector, using the 2-step process DMGlobalToLocalBegin(), DMGlobalToLocalEnd(). */ ierr = DMGlobalToLocalBegin(da,X,INSERT_VALUES,localX);CHKERRQ(ierr); ierr = DMGlobalToLocalEnd(da,X,INSERT_VALUES,localX);CHKERRQ(ierr); if (B) { ierr = DMGlobalToLocalBegin(da,B,INSERT_VALUES,localB);CHKERRQ(ierr); ierr = DMGlobalToLocalEnd(da,B,INSERT_VALUES,localB);CHKERRQ(ierr); } ierr = DMDAGetLocalInfo(da,&info);CHKERRQ(ierr); ierr = DMDAVecGetArray(da,localX,&x);CHKERRQ(ierr); if (B) { ierr = DMDAVecGetArrayRead(da,localB,&b);CHKERRQ(ierr); } /* looks like a combination of the formfunction / formjacobian routines */ dhx = (PetscReal)(info.mx-1);dhy = (PetscReal)(info.my-1); hx = 1.0/dhx; hy = 1.0/dhy; hxdhy = hx*dhy; hydhx = hy*dhx; xints = info.xs; xinte = info.xs+info.xm; yints = info.ys; yinte = info.ys+info.ym; /* Set the boundary conditions on the momentum equations */ /* Test whether we are on the bottom edge of the global array */ if (yints == 0) { j = 0; /* bottom edge */ for (i=info.xs; i 0.0) dfodu = (u - x[j][i-1].omega)*hy; else dfodu = (x[j][i+1].omega - u)*hy; if (PetscRealPart(vy) > 0.0) dfodv = (u - x[j-1][i].omega)*hx; else dfodv = (x[j+1][i].omega - u)*hx; /* Temperature */ u = x[j][i].temp; uxx = (2.0*u - x[j][i-1].temp - x[j][i+1].temp)*hydhx; uyy = (2.0*u - x[j-1][i].temp - x[j+1][i].temp)*hxdhy; 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; dftdt = 2.0*(hydhx + hxdhy) + prandtl*((vxp - vxm)*hy + (vyp - vym)*hx); if (PetscRealPart(vx) > 0.0) dftdu = prandtl*(u - x[j][i-1].temp)*hy; else dftdu = prandtl*(x[j][i+1].temp - u)*hy; if (PetscRealPart(vy) > 0.0) dftdv = prandtl*(u - x[j-1][i].temp)*hx; else dftdv = prandtl*(x[j+1][i].temp - u)*hx; /* invert the system: [ dfu / du 0 0 0 ][yu] = [fu] [ 0 dfv / dv 0 0 ][yv] [fv] [ dfo / du dfo / dv dfo / do 0 ][yo] [fo] [ dft / du dft / dv 0 dft / dt ][yt] [ft] by simple back-substitution */ yu = fu / dfudu; yv = fv / dfvdv; yo = (fomega - (dfodu*yu + dfodv*yv)) / dfodo; yt = (ftemp - (dftdu*yu + dftdv*yv)) / dftdt; x[j][i].u = x[j][i].u - yu; x[j][i].v = x[j][i].v - yv; x[j][i].temp = x[j][i].temp - yt; x[j][i].omega = x[j][i].omega - yo; } if (i == 0) { fomega = x[j][i].omega - (x[j][i+1].v - x[j][i].v)*dhx - bjiomega; ftemp = x[j][i].temp - bjitemp; yo = fomega; yt = ftemp; x[j][i].omega = x[j][i].omega - fomega; x[j][i].temp = x[j][i].temp - ftemp; } if (i == info.mx - 1) { fomega = x[j][i].omega - (x[j][i].v - x[j][i-1].v)*dhx - bjiomega; ftemp = x[j][i].temp - (PetscReal)(grashof>0) - bjitemp; yo = fomega; yt = ftemp; x[j][i].omega = x[j][i].omega - fomega; x[j][i].temp = x[j][i].temp - ftemp; } if (j == 0) { fomega = x[j][i].omega + (x[j+1][i].u - x[j][i].u)*dhy - bjiomega; ftemp = x[j][i].temp-x[j+1][i].temp - bjitemp; yo = fomega; yt = ftemp; x[j][i].omega = x[j][i].omega - fomega; x[j][i].temp = x[j][i].temp - ftemp; } if (j == info.my - 1) { fomega = x[j][i].omega + (x[j][i].u - x[j-1][i].u)*dhy - bjiomega; ftemp = x[j][i].temp-x[j-1][i].temp - bjitemp; yo = fomega; yt = ftemp; x[j][i].omega = x[j][i].omega - fomega; x[j][i].temp = x[j][i].temp - ftemp; } tot_its++; pfnorm = PetscRealPart(fu*fu + fv*fv + fomega*fomega + ftemp*ftemp); pfnorm = PetscSqrtReal(pfnorm); pynorm = PetscRealPart(yu*yu + yv*yv + yo*yo + yt*yt); pynorm = PetscSqrtReal(pynorm); 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); pxnorm = PetscSqrtReal(pxnorm); if (l == 0) pfnorm0 = pfnorm; if (rtol*pfnorm0 >pfnorm || atol > pfnorm || pxnorm*stol > pynorm) ptconverged = PETSC_TRUE; } } } } ierr = DMDAVecRestoreArray(da,localX,&x);CHKERRQ(ierr); if (B) { ierr = DMDAVecRestoreArrayRead(da,localB,&b);CHKERRQ(ierr); } ierr = DMLocalToGlobalBegin(da,localX,INSERT_VALUES,X);CHKERRQ(ierr); ierr = DMLocalToGlobalEnd(da,localX,INSERT_VALUES,X);CHKERRQ(ierr); ierr = PetscLogFlops(tot_its*(84.0 + 41.0 + 26.0));CHKERRQ(ierr); ierr = DMRestoreLocalVector(da,&localX);CHKERRQ(ierr); if (B) { ierr = DMRestoreLocalVector(da,&localB);CHKERRQ(ierr); } PetscFunctionReturn(0); } /*TEST test: nsize: 2 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full requires: !single test: suffix: 10 nsize: 3 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type symmetric_multiplicative -snes_view -da_refine 1 -ksp_type fgmres requires: !single test: suffix: 11 nsize: 4 requires: pastix 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 test: suffix: 12 nsize: 12 requires: pastix 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 test: suffix: 13 nsize: 3 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 requires: !single test: suffix: 14 nsize: 4 args: -snes_monitor_short -pc_type mg -dm_mat_type baij -mg_coarse_pc_type bjacobi -da_refine 3 -ksp_type fgmres requires: !single test: suffix: 14_ds nsize: 4 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 output_file: output/ex19_2.out requires: !single test: suffix: 17 args: -snes_monitor_short -ksp_pc_side right requires: !single test: suffix: 18 args: -ksp_monitor_snes_lg -ksp_pc_side right requires: x !single test: suffix: 2 nsize: 4 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds requires: !single test: suffix: 2_bcols1 nsize: 4 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1> ex19_1.tmp 2>&1 output_file: output/ex19_2.out requires: !single test: suffix: 3 nsize: 4 requires: mumps 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 test: suffix: 4 nsize: 12 requires: mumps 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 output_file: output/ex19_3.out test: suffix: 6 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -ksp_type fgmres -da_refine 1 requires: !single test: suffix: 7 nsize: 3 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -snes_view -da_refine 1 -ksp_type fgmres requires: !single test: suffix: 8 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 requires: !single test: suffix: 9 nsize: 3 args: -snes_monitor_short -ksp_monitor_short -pc_type fieldsplit -pc_fieldsplit_type multiplicative -snes_view -da_refine 1 -ksp_type fgmres requires: !single test: suffix: aspin nsize: 4 args: -da_refine 3 -da_overlap 2 -snes_monitor_short -snes_type aspin -grashof 4e4 -lidvelocity 100 -ksp_monitor_short requires: !single test: suffix: bcgsl nsize: 2 args: -ksp_type bcgsl -ksp_monitor_short -da_refine 2 -ksp_bcgsl_ell 3 -snes_view requires: !single test: suffix: bcols1 nsize: 2 args: -da_refine 3 -snes_monitor_short -pc_type mg -ksp_type fgmres -pc_mg_type full -mat_fd_coloring_bcols 1 output_file: output/ex19_1.out requires: !single test: suffix: bjacobi nsize: 4 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 requires: !single test: suffix: cgne args: -da_refine 2 -pc_type lu -ksp_type cgne -ksp_monitor_short -ksp_converged_reason -ksp_view -ksp_norm_type unpreconditioned filter: grep -v HERMITIAN requires: !single test: suffix: cgs args: -da_refine 1 -ksp_monitor_short -ksp_type cgs requires: !single test: suffix: composite_fieldsplit 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 requires: !single test: suffix: composite_fieldsplit_bjacobi 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 requires: !single test: suffix: composite_fieldsplit_bjacobi_2 nsize: 4 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 requires: !single test: suffix: composite_gs_newton nsize: 2 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 requires: !single test: suffix: cuda requires: cuda !single args: -dm_vec_type cuda -dm_mat_type aijcusparse -pc_type none -ksp_type fgmres -snes_monitor_short -snes_rtol 1.e-5 test: suffix: draw 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 requires: x !single test: suffix: drawports args: -snes_monitor_solution draw::draw_ports -da_refine 1 output_file: output/ex19_draw.out requires: x !single test: suffix: fas 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 requires: !single test: suffix: fas_full 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 requires: !single test: suffix: fdcoloring_ds args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds output_file: output/ex19_2.out requires: !single test: suffix: fdcoloring_ds_baij args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -dm_mat_type baij output_file: output/ex19_2.out requires: !single test: suffix: fdcoloring_ds_bcols1 args: -da_refine 3 -snes_converged_reason -pc_type mg -mat_fd_type ds -mat_fd_coloring_bcols 1 output_file: output/ex19_2.out requires: !single test: suffix: fdcoloring_wp args: -da_refine 3 -snes_monitor_short -pc_type mg requires: !single test: suffix: fdcoloring_wp_baij args: -da_refine 3 -snes_monitor_short -pc_type mg -dm_mat_type baij output_file: output/ex19_fdcoloring_wp.out requires: !single test: suffix: fdcoloring_wp_bcols1 args: -da_refine 3 -snes_monitor_short -pc_type mg -mat_fd_coloring_bcols 1 output_file: output/ex19_fdcoloring_wp.out requires: !single test: suffix: fieldsplit_2 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 requires: !single test: suffix: fieldsplit_3 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 requires: !single test: suffix: fieldsplit_4 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 requires: !single test: suffix: fieldsplit_hypre nsize: 2 requires: hypre mumps 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 test: suffix: fieldsplit_mumps nsize: 2 requires: mumps 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 output_file: output/ex19_fieldsplit_5.out test: suffix: greedy_coloring nsize: 2 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 requires: !single test: suffix: hypre nsize: 2 requires: hypre args: -da_refine 3 -snes_monitor_short -pc_type hypre test: suffix: ibcgs nsize: 2 args: -ksp_type ibcgs -ksp_monitor_short -da_refine 2 -snes_view requires: !complex !single test: suffix: kaczmarz nsize: 2 args: -pc_type kaczmarz -ksp_monitor_short -snes_monitor_short -snes_view requires: !single test: suffix: klu requires: suitesparse args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu output_file: output/ex19_superlu.out test: suffix: klu_2 requires: suitesparse args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_ordering PETSC output_file: output/ex19_superlu.out test: suffix: klu_3 requires: suitesparse args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type klu -mat_klu_use_btf 0 output_file: output/ex19_superlu.out test: suffix: ml nsize: 2 requires: ml args: -da_refine 3 -snes_monitor_short -pc_type ml test: suffix: ngmres_fas 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 requires: !single test: suffix: ngmres_fas_gssecant 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 requires: !single test: suffix: ngmres_fas_ms nsize: 2 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 requires: !single test: suffix: ngmres_nasm nsize: 4 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 requires: !single test: suffix: ngs args: -ksp_monitor_short -snes_type ngs -snes_view -snes_monitor -snes_rtol 1e-4 requires: !single test: suffix: ngs_fd args: -ksp_monitor_short -snes_type ngs -snes_ngs_secant -snes_view -snes_monitor -snes_rtol 1e-4 requires: !single test: suffix: parms nsize: 2 requires: parms args: -pc_type parms -ksp_monitor_short -snes_view test: suffix: superlu requires: superlu args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu test: suffix: superlu_sell requires: superlu 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 output_file: output/ex19_superlu.out test: suffix: superlu_dist requires: superlu_dist args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist output_file: output/ex19_superlu.out test: suffix: superlu_dist_2 nsize: 2 requires: superlu_dist args: -da_grid_x 20 -da_grid_y 20 -pc_type lu -pc_factor_mat_solver_type superlu_dist output_file: output/ex19_superlu.out test: suffix: superlu_equil requires: superlu 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 test: suffix: superlu_equil_sell requires: superlu 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 output_file: output/ex19_superlu_equil.out test: suffix: tcqmr args: -da_refine 1 -ksp_monitor_short -ksp_type tcqmr requires: !single test: suffix: tfqmr args: -da_refine 1 -ksp_monitor_short -ksp_type tfqmr requires: !single test: suffix: umfpack requires: suitesparse args: -da_refine 2 -pc_type lu -pc_factor_mat_solver_type umfpack -snes_view -snes_monitor_short -ksp_monitor_short TEST*/