static PetscErrorCode CreateSpectralPlanes(DM dm, PetscInt numPlanes, const PetscInt planeDir[], const PetscReal planeCoord[], AppCtx *user)
{
PetscSection coordSection;
Vec coordinates;
const PetscScalar *coords;
PetscInt dim, p, vStart, vEnd, v;
PetscErrorCode ierr;
PetscFunctionBeginUser;
ierr = DMGetCoordinateDim(dm, &dim);CHKERRQ(ierr);
ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
ierr = VecGetArrayRead(coordinates, &coords);CHKERRQ(ierr);
for (p = 0; p < numPlanes; ++p) {
DMLabel label;
char name[PETSC_MAX_PATH_LEN];
ierr = PetscSNPrintf(name, PETSC_MAX_PATH_LEN, "spectral_plane_%D", p);CHKERRQ(ierr);
ierr = DMCreateLabel(dm, name);CHKERRQ(ierr);
ierr = DMGetLabel(dm, name, &label);CHKERRQ(ierr);
ierr = DMLabelAddStratum(label, 1);CHKERRQ(ierr);
for (v = vStart; v < vEnd; ++v) {
PetscInt off;
ierr = PetscSectionGetOffset(coordSection, v, &off);CHKERRQ(ierr);
if (PetscAbsReal(planeCoord[p] - PetscRealPart(coords[off+planeDir[p]])) < PETSC_SMALL) {
ierr = DMLabelSetValue(label, v, 1);CHKERRQ(ierr);
}
}
}
ierr = VecRestoreArrayRead(coordinates, &coords);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
/*@
DMPlexCopyCoordinates - Copy coordinates from one mesh to another with the same vertices
Collective on DM
Input Parameter:
. dmA - The DMPlex object with initial coordinates
Output Parameter:
. dmB - The DMPlex object with copied coordinates
Level: intermediate
Note: This is typically used when adding pieces other than vertices to a mesh
.keywords: mesh
.seealso: DMCopyLabels(), DMGetCoordinates(), DMGetCoordinatesLocal(), DMGetCoordinateDM(), DMGetCoordinateSection()
@*/
PetscErrorCode DMPlexCopyCoordinates(DM dmA, DM dmB)
{
Vec coordinatesA, coordinatesB;
PetscSection coordSectionA, coordSectionB;
PetscScalar *coordsA, *coordsB;
PetscInt spaceDim, vStartA, vStartB, vEndA, vEndB, coordSizeB, v, d;
PetscErrorCode ierr;
PetscFunctionBegin;
if (dmA == dmB) PetscFunctionReturn(0);
ierr = DMPlexGetDepthStratum(dmA, 0, &vStartA, &vEndA);CHKERRQ(ierr);
ierr = DMPlexGetDepthStratum(dmB, 0, &vStartB, &vEndB);CHKERRQ(ierr);
if ((vEndA-vStartA) != (vEndB-vStartB)) SETERRQ2(PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "The number of vertices in first DM %d != %d in the second DM", vEndA-vStartA, vEndB-vStartB);
ierr = DMGetCoordinateSection(dmA, &coordSectionA);CHKERRQ(ierr);
ierr = DMGetCoordinateSection(dmB, &coordSectionB);CHKERRQ(ierr);
if (!coordSectionB) {
PetscInt dim;
ierr = PetscSectionCreate(PetscObjectComm((PetscObject) coordSectionA), &coordSectionB);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dmA, &dim);CHKERRQ(ierr);
ierr = DMSetCoordinateSection(dmB, dim, coordSectionB);CHKERRQ(ierr);
ierr = PetscObjectDereference((PetscObject) coordSectionB);CHKERRQ(ierr);
}
ierr = PetscSectionSetNumFields(coordSectionB, 1);CHKERRQ(ierr);
ierr = PetscSectionGetFieldComponents(coordSectionA, 0, &spaceDim);CHKERRQ(ierr);
ierr = PetscSectionSetFieldComponents(coordSectionB, 0, spaceDim);CHKERRQ(ierr);
ierr = PetscSectionSetChart(coordSectionB, vStartB, vEndB);CHKERRQ(ierr);
for (v = vStartB; v < vEndB; ++v) {
ierr = PetscSectionSetDof(coordSectionB, v, spaceDim);CHKERRQ(ierr);
ierr = PetscSectionSetFieldDof(coordSectionB, v, 0, spaceDim);CHKERRQ(ierr);
}
ierr = PetscSectionSetUp(coordSectionB);CHKERRQ(ierr);
ierr = PetscSectionGetStorageSize(coordSectionB, &coordSizeB);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(dmA, &coordinatesA);CHKERRQ(ierr);
ierr = VecCreate(PetscObjectComm((PetscObject) dmB), &coordinatesB);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) coordinatesB, "coordinates");CHKERRQ(ierr);
ierr = VecSetSizes(coordinatesB, coordSizeB, PETSC_DETERMINE);CHKERRQ(ierr);
ierr = VecSetType(coordinatesB,VECSTANDARD);CHKERRQ(ierr);
ierr = VecGetArray(coordinatesA, &coordsA);CHKERRQ(ierr);
ierr = VecGetArray(coordinatesB, &coordsB);CHKERRQ(ierr);
for (v = 0; v < vEndB-vStartB; ++v) {
for (d = 0; d < spaceDim; ++d) {
coordsB[v*spaceDim+d] = coordsA[v*spaceDim+d];
}
}
ierr = VecRestoreArray(coordinatesA, &coordsA);CHKERRQ(ierr);
ierr = VecRestoreArray(coordinatesB, &coordsB);CHKERRQ(ierr);
ierr = DMSetCoordinatesLocal(dmB, coordinatesB);CHKERRQ(ierr);
ierr = VecDestroy(&coordinatesB);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode CreatePoints_Grid(DM dm, PetscInt *Np, PetscReal **pcoords, PetscBool *pointsAllProcs, AppCtx *ctx)
{
DM da;
DMDALocalInfo info;
PetscInt N = 3, n = 0, spaceDim, i, j, k, *ind, d;
PetscReal *h;
PetscMPIInt rank;
PetscErrorCode ierr;
ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm, &spaceDim);CHKERRQ(ierr);
ierr = PetscCalloc1(spaceDim,&ind);CHKERRQ(ierr);
ierr = PetscCalloc1(spaceDim,&h);CHKERRQ(ierr);
h[0] = 1.0/(N-1); h[1] = 1.0/(N-1); h[2] = 1.0/(N-1);
ierr = DMDACreate(PetscObjectComm((PetscObject) dm), &da);CHKERRQ(ierr);
ierr = DMSetDimension(da, ctx->dim);CHKERRQ(ierr);
ierr = DMDASetSizes(da, N, N, N);CHKERRQ(ierr);
ierr = DMDASetDof(da, 1);CHKERRQ(ierr);
ierr = DMDASetStencilWidth(da, 1);CHKERRQ(ierr);
ierr = DMSetUp(da);CHKERRQ(ierr);
ierr = DMDASetUniformCoordinates(da, 0.0, 1.0, 0.0, 1.0, 0.0, 1.0);CHKERRQ(ierr);
ierr = DMDAGetLocalInfo(da, &info);CHKERRQ(ierr);
*Np = info.xm * info.ym * info.zm;
ierr = PetscCalloc1(*Np * spaceDim, pcoords);CHKERRQ(ierr);
for (k = info.zs; k < info.zs + info.zm; ++k) {
ind[2] = k;
for (j = info.ys; j < info.ys + info.ym; ++j) {
ind[1] = j;
for (i = info.xs; i < info.xs + info.xm; ++i, ++n) {
ind[0] = i;
for (d = 0; d < spaceDim; ++d) (*pcoords)[n*spaceDim+d] = ind[d]*h[d];
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "[%d]Point %D (", rank, n);CHKERRQ(ierr);
for (d = 0; d < spaceDim; ++d) {
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "%g", (double)(*pcoords)[n*spaceDim+d]);CHKERRQ(ierr);
if (d < spaceDim-1) {ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, ", ");CHKERRQ(ierr);}
}
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, ")\n");CHKERRQ(ierr);
}
}
}
ierr = DMDestroy(&da);CHKERRQ(ierr);
ierr = PetscSynchronizedFlush(PETSC_COMM_WORLD, NULL);CHKERRQ(ierr);
ierr = PetscFree(ind);CHKERRQ(ierr);
ierr = PetscFree(h);CHKERRQ(ierr);
*pointsAllProcs = PETSC_FALSE;
PetscFunctionReturn(0);
}
PetscErrorCode CreateMesh(MPI_Comm comm, AppCtx *user, DM *dm)
{
PetscInt dim = user->dim;
PetscErrorCode ierr;
PetscFunctionBeginUser;
ierr = DMPlexCreateBoxMesh(comm, dim, user->simplex, user->cells, NULL, NULL, NULL, PETSC_TRUE, dm);CHKERRQ(ierr);
{
Parameter *param;
Vec coordinates;
PetscScalar *coords;
PetscReal alpha;
PetscInt cdim, N, bs, i;
ierr = DMGetCoordinateDim(*dm, &cdim);CHKERRQ(ierr);
ierr = DMGetCoordinates(*dm, &coordinates);CHKERRQ(ierr);
ierr = VecGetLocalSize(coordinates, &N);CHKERRQ(ierr);
ierr = VecGetBlockSize(coordinates, &bs);CHKERRQ(ierr);
if (bs != cdim) SETERRQ2(comm, PETSC_ERR_ARG_WRONG, "Invalid coordinate blocksize %D != embedding dimension %D", bs, cdim);
ierr = VecGetArray(coordinates, &coords);CHKERRQ(ierr);
ierr = PetscBagGetData(user->bag, (void **) ¶m);CHKERRQ(ierr);
alpha = param->alpha;
for (i = 0; i < N; i += cdim) {
PetscScalar x = coords[i+0];
PetscScalar y = coords[i+1];
coords[i+0] = PetscCosReal(alpha)*x - PetscSinReal(alpha)*y;
coords[i+1] = PetscSinReal(alpha)*x + PetscCosReal(alpha)*y;
}
ierr = VecRestoreArray(coordinates, &coords);CHKERRQ(ierr);
ierr = DMSetCoordinates(*dm, coordinates);CHKERRQ(ierr);
}
{
DM pdm = NULL;
PetscPartitioner part;
ierr = DMPlexGetPartitioner(*dm, &part);CHKERRQ(ierr);
ierr = PetscPartitionerSetFromOptions(part);CHKERRQ(ierr);
ierr = DMPlexDistribute(*dm, 0, NULL, &pdm);CHKERRQ(ierr);
if (pdm) {
ierr = DMDestroy(dm);CHKERRQ(ierr);
*dm = pdm;
}
}
ierr = DMSetFromOptions(*dm);CHKERRQ(ierr);
ierr = DMViewFromOptions(*dm, NULL, "-dm_view");CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode DMView_GLVis(DM dm, PetscViewer viewer, PetscErrorCode (*DMView_GLVis_ASCII)(DM,PetscViewer))
{
PetscErrorCode ierr;
PetscBool isglvis,isascii;
PetscFunctionBegin;
PetscValidHeaderSpecific(dm,DM_CLASSID,1);
PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,1);
ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERGLVIS,&isglvis);CHKERRQ(ierr);
ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr);
if (!isglvis && !isascii) SETERRQ(PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Viewer must be of type VIEWERGLVIS or VIEWERASCII");
if (isglvis) {
PetscViewerGLVisType type;
PetscViewer view;
ierr = PetscViewerGLVisGetType_Private(viewer,&type);CHKERRQ(ierr);
ierr = PetscViewerGLVisGetDMWindow_Private(viewer,&view);CHKERRQ(ierr);
if (!view) PetscFunctionReturn(0); /* socket window has been closed */
if (type == PETSC_VIEWER_GLVIS_SOCKET) {
PetscMPIInt size,rank;
PetscInt sdim;
const char* name;
ierr = MPI_Comm_size(PetscObjectComm((PetscObject)dm),&size);CHKERRQ(ierr);
ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)dm),&rank);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm,&sdim);CHKERRQ(ierr);
ierr = PetscObjectGetName((PetscObject)dm,&name);CHKERRQ(ierr);
ierr = PetscGLVisCollectiveBegin(PetscObjectComm((PetscObject)dm),&view);CHKERRQ(ierr);
ierr = PetscViewerASCIIPrintf(view,"parallel %d %d\nmesh\n",size,rank);CHKERRQ(ierr);
ierr = DMView_GLVis_ASCII(dm,view);CHKERRQ(ierr);
ierr = PetscViewerGLVisInitWindow_Private(view,PETSC_TRUE,sdim,name);CHKERRQ(ierr);
ierr = PetscGLVisCollectiveEnd(PetscObjectComm((PetscObject)dm),&view);CHKERRQ(ierr);
} else {
ierr = DMView_GLVis_ASCII(dm,view);CHKERRQ(ierr);
}
ierr = PetscViewerGLVisRestoreDMWindow_Private(viewer,&view);CHKERRQ(ierr);
} else {
ierr = DMView_GLVis_ASCII(dm,viewer);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
static PetscErrorCode CreatePoints_GridReplicated(DM dm, PetscInt *Np, PetscReal **pcoords, PetscBool *pointsAllProcs, AppCtx *ctx)
{
PetscInt N = 3, n = 0, spaceDim, i, j, k, *ind, d;
PetscReal *h;
PetscMPIInt rank;
PetscErrorCode ierr;
ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm, &spaceDim);CHKERRQ(ierr);
ierr = PetscCalloc1(spaceDim,&ind);CHKERRQ(ierr);
ierr = PetscCalloc1(spaceDim,&h);CHKERRQ(ierr);
h[0] = 1.0/(N-1); h[1] = 1.0/(N-1); h[2] = 1.0/(N-1);
*Np = N * (ctx->dim > 1 ? N : 1) * (ctx->dim > 2 ? N : 1);
ierr = PetscCalloc1(*Np * spaceDim, pcoords);CHKERRQ(ierr);
for (k = 0; k < N; ++k) {
ind[2] = k;
for (j = 0; j < N; ++j) {
ind[1] = j;
for (i = 0; i < N; ++i, ++n) {
ind[0] = i;
for (d = 0; d < spaceDim; ++d) (*pcoords)[n*spaceDim+d] = ind[d]*h[d];
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "[%d]Point %D (", rank, n);CHKERRQ(ierr);
for (d = 0; d < spaceDim; ++d) {
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "%g", (double)(*pcoords)[n*spaceDim+d]);CHKERRQ(ierr);
if (d < spaceDim-1) {ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, ", ");CHKERRQ(ierr);}
}
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, ")\n");CHKERRQ(ierr);
}
}
}
ierr = PetscSynchronizedFlush(PETSC_COMM_WORLD, NULL);CHKERRQ(ierr);
*pointsAllProcs = PETSC_TRUE;
ierr = PetscFree(ind);CHKERRQ(ierr);
ierr = PetscFree(h);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode CreatePoints_Centroid(DM dm, PetscInt *Np, PetscReal **pcoords, PetscBool *pointsAllProcs, AppCtx *ctx)
{
PetscSection coordSection;
Vec coordsLocal;
PetscInt spaceDim, p;
PetscMPIInt rank;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(dm, &coordsLocal);CHKERRQ(ierr);
ierr = DMGetCoordinateSection(dm, &coordSection);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm, &spaceDim);CHKERRQ(ierr);
ierr = DMPlexGetHeightStratum(dm, 0, NULL, Np);CHKERRQ(ierr);
ierr = PetscCalloc1(*Np * spaceDim, pcoords);CHKERRQ(ierr);
for (p = 0; p < *Np; ++p) {
PetscScalar *coords = NULL;
PetscInt size, num, n, d;
ierr = DMPlexVecGetClosure(dm, coordSection, coordsLocal, p, &size, &coords);CHKERRQ(ierr);
num = size/spaceDim;
for (n = 0; n < num; ++n) {
for (d = 0; d < spaceDim; ++d) (*pcoords)[p*spaceDim+d] += PetscRealPart(coords[n*spaceDim+d]) / num;
}
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "[%d]Point %D (", rank, p);CHKERRQ(ierr);
for (d = 0; d < spaceDim; ++d) {
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "%g", (double)(*pcoords)[p*spaceDim+d]);CHKERRQ(ierr);
if (d < spaceDim-1) {ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, ", ");CHKERRQ(ierr);}
}
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, ")\n");CHKERRQ(ierr);
ierr = DMPlexVecRestoreClosure(dm, coordSection, coordsLocal, p, &num, &coords);CHKERRQ(ierr);
}
ierr = PetscSynchronizedFlush(PETSC_COMM_WORLD, NULL);CHKERRQ(ierr);
*pointsAllProcs = PETSC_FALSE;
PetscFunctionReturn(0);
}
int main(int argc,char **args)
{
Mat Amat;
PetscErrorCode ierr;
SNES snes;
KSP ksp;
MPI_Comm comm;
PetscMPIInt npe,rank;
PetscLogStage stage[7];
PetscBool test_nonzero_cols=PETSC_FALSE,use_nearnullspace=PETSC_TRUE;
Vec xx,bb;
PetscInt iter,i,N,dim=3,cells[3]={1,1,1},max_conv_its,local_sizes[7],run_type=1;
DM dm,distdm,basedm;
PetscBool flg;
char convType[256];
PetscReal Lx,mdisp[10],err[10];
const char * const options[10] = {"-ex56_dm_refine 0",
"-ex56_dm_refine 1",
"-ex56_dm_refine 2",
"-ex56_dm_refine 3",
"-ex56_dm_refine 4",
"-ex56_dm_refine 5",
"-ex56_dm_refine 6",
"-ex56_dm_refine 7",
"-ex56_dm_refine 8",
"-ex56_dm_refine 9"};
PetscFunctionBeginUser;
ierr = PetscInitialize(&argc,&args,(char*)0,help);if (ierr) return ierr;
comm = PETSC_COMM_WORLD;
ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(comm, &npe);CHKERRQ(ierr);
/* options */
ierr = PetscOptionsBegin(comm,NULL,"3D bilinear Q1 elasticity options","");CHKERRQ(ierr);
{
i = 3;
ierr = PetscOptionsIntArray("-cells", "Number of (flux tube) processor in each dimension", "ex56.c", cells, &i, NULL);CHKERRQ(ierr);
Lx = 1.; /* or ne for rod */
max_conv_its = 3;
ierr = PetscOptionsInt("-max_conv_its","Number of iterations in convergence study","",max_conv_its,&max_conv_its,NULL);CHKERRQ(ierr);
if (max_conv_its<=0 || max_conv_its>7) SETERRQ1(PETSC_COMM_WORLD, PETSC_ERR_USER, "Bad number of iterations for convergence test (%D)",max_conv_its);
ierr = PetscOptionsReal("-lx","Length of domain","",Lx,&Lx,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-alpha","material coefficient inside circle","",s_soft_alpha,&s_soft_alpha,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-test_nonzero_cols","nonzero test","",test_nonzero_cols,&test_nonzero_cols,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-use_mat_nearnullspace","MatNearNullSpace API test","",use_nearnullspace,&use_nearnullspace,NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-run_type","0: twisting load on cantalever, 1: 3rd order accurate convergence test","",run_type,&run_type,NULL);CHKERRQ(ierr);
i = 3;
ierr = PetscOptionsInt("-mat_block_size","","",i,&i,&flg);CHKERRQ(ierr);
if (!flg || i!=3) SETERRQ2(PETSC_COMM_WORLD, PETSC_ERR_USER, "'-mat_block_size 3' must be set (%D) and = 3 (%D)",flg,flg? i : 3);
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = PetscLogStageRegister("Mesh Setup", &stage[6]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("1st Setup", &stage[0]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("1st Solve", &stage[1]);CHKERRQ(ierr);
/* create DM, Plex calls DMSetup */
ierr = PetscLogStagePush(stage[6]);CHKERRQ(ierr);
ierr = DMPlexCreateHexBoxMesh(comm, dim, cells, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, DM_BOUNDARY_NONE, &dm);CHKERRQ(ierr);
{
DMLabel label;
IS is;
ierr = DMCreateLabel(dm, "boundary");CHKERRQ(ierr);
ierr = DMGetLabel(dm, "boundary", &label);CHKERRQ(ierr);
ierr = DMPlexMarkBoundaryFaces(dm, label);CHKERRQ(ierr);
if (run_type==0) {
ierr = DMGetStratumIS(dm, "boundary", 1, &is);CHKERRQ(ierr);
ierr = DMCreateLabel(dm,"Faces");CHKERRQ(ierr);
if (is) {
PetscInt d, f, Nf;
const PetscInt *faces;
PetscInt csize;
PetscSection cs;
Vec coordinates ;
DM cdm;
ierr = ISGetLocalSize(is, &Nf);CHKERRQ(ierr);
ierr = ISGetIndices(is, &faces);CHKERRQ(ierr);
ierr = DMGetCoordinatesLocal(dm, &coordinates);CHKERRQ(ierr);
ierr = DMGetCoordinateDM(dm, &cdm);CHKERRQ(ierr);
ierr = DMGetDefaultSection(cdm, &cs);CHKERRQ(ierr);
/* Check for each boundary face if any component of its centroid is either 0.0 or 1.0 */
for (f = 0; f < Nf; ++f) {
PetscReal faceCoord;
PetscInt b,v;
PetscScalar *coords = NULL;
PetscInt Nv;
ierr = DMPlexVecGetClosure(cdm, cs, coordinates, faces[f], &csize, &coords);CHKERRQ(ierr);
Nv = csize/dim; /* Calculate mean coordinate vector */
for (d = 0; d < dim; ++d) {
faceCoord = 0.0;
for (v = 0; v < Nv; ++v) faceCoord += PetscRealPart(coords[v*dim+d]);
faceCoord /= Nv;
for (b = 0; b < 2; ++b) {
if (PetscAbs(faceCoord - b) < PETSC_SMALL) { /* domain have not been set yet, still [0,1]^3 */
ierr = DMSetLabelValue(dm, "Faces", faces[f], d*2+b+1);CHKERRQ(ierr);
}
}
}
ierr = DMPlexVecRestoreClosure(cdm, cs, coordinates, faces[f], &csize, &coords);CHKERRQ(ierr);
}
ierr = ISRestoreIndices(is, &faces);CHKERRQ(ierr);
}
ierr = ISDestroy(&is);CHKERRQ(ierr);
ierr = DMGetLabel(dm, "Faces", &label);CHKERRQ(ierr);
ierr = DMPlexLabelComplete(dm, label);CHKERRQ(ierr);
}
}
{
PetscInt dimEmbed, i;
PetscInt nCoords;
PetscScalar *coords,bounds[] = {0,Lx,-.5,.5,-.5,.5,}; /* x_min,x_max,y_min,y_max */
Vec coordinates;
if (run_type==1) {
for (i = 0; i < 2*dim; i++) bounds[i] = (i%2) ? 1 : 0;
}
ierr = DMGetCoordinatesLocal(dm,&coordinates);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm,&dimEmbed);CHKERRQ(ierr);
if (dimEmbed != dim) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"dimEmbed != dim %D",dimEmbed);CHKERRQ(ierr);
ierr = VecGetLocalSize(coordinates,&nCoords);CHKERRQ(ierr);
if (nCoords % dimEmbed) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Coordinate vector the wrong size");CHKERRQ(ierr);
ierr = VecGetArray(coordinates,&coords);CHKERRQ(ierr);
for (i = 0; i < nCoords; i += dimEmbed) {
PetscInt j;
PetscScalar *coord = &coords[i];
for (j = 0; j < dimEmbed; j++) {
coord[j] = bounds[2 * j] + coord[j] * (bounds[2 * j + 1] - bounds[2 * j]);
}
}
ierr = VecRestoreArray(coordinates,&coords);CHKERRQ(ierr);
ierr = DMSetCoordinatesLocal(dm,coordinates);CHKERRQ(ierr);
}
/* convert to p4est, and distribute */
ierr = PetscOptionsBegin(comm, "", "Mesh conversion options", "DMPLEX");CHKERRQ(ierr);
ierr = PetscOptionsFList("-dm_type","Convert DMPlex to another format (should not be Plex!)","ex56.c",DMList,DMPLEX,convType,256,&flg);CHKERRQ(ierr);
ierr = PetscOptionsEnd();
if (flg) {
DM newdm;
ierr = DMConvert(dm,convType,&newdm);CHKERRQ(ierr);
if (newdm) {
const char *prefix;
PetscBool isForest;
ierr = PetscObjectGetOptionsPrefix((PetscObject)dm,&prefix);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject)newdm,prefix);CHKERRQ(ierr);
ierr = DMIsForest(newdm,&isForest);CHKERRQ(ierr);
if (isForest) {
} else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_USER, "Converted to non Forest?");
ierr = DMDestroy(&dm);CHKERRQ(ierr);
dm = newdm;
} else SETERRQ(PETSC_COMM_WORLD, PETSC_ERR_USER, "Convert failed?");
} else {
/* Plex Distribute mesh over processes */
ierr = DMPlexDistribute(dm, 0, NULL, &distdm);CHKERRQ(ierr);
if (distdm) {
const char *prefix;
ierr = PetscObjectGetOptionsPrefix((PetscObject)dm,&prefix);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject)distdm,prefix);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
dm = distdm;
}
}
ierr = PetscLogStagePop();CHKERRQ(ierr);
basedm = dm; dm = NULL;
for (iter=0 ; iter<max_conv_its ; iter++) {
ierr = PetscLogStagePush(stage[6]);CHKERRQ(ierr);
/* make new DM */
ierr = DMClone(basedm, &dm);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject) dm, "ex56_");CHKERRQ(ierr);
ierr = PetscObjectSetName( (PetscObject)dm,"Mesh");CHKERRQ(ierr);
ierr = PetscOptionsClearValue(NULL,"-ex56_dm_refine");CHKERRQ(ierr);
ierr = PetscOptionsInsertString(NULL,options[iter]);CHKERRQ(ierr);
ierr = DMSetFromOptions(dm);CHKERRQ(ierr); /* refinement done here in Plex, p4est */
/* snes */
ierr = SNESCreate(comm, &snes);CHKERRQ(ierr);
ierr = SNESSetDM(snes, dm);CHKERRQ(ierr);
/* fem */
{
const PetscInt Ncomp = dim;
const PetscInt components[] = {0,1,2};
const PetscInt Nfid = 1, Npid = 1;
const PetscInt fid[] = {1}; /* The fixed faces (x=0) */
const PetscInt pid[] = {2}; /* The faces with loading (x=L_x) */
PetscFE fe;
PetscDS prob;
DM cdm = dm;
ierr = PetscFECreateDefault(dm, dim, dim, PETSC_FALSE, NULL, PETSC_DECIDE, &fe);CHKERRQ(ierr); /* elasticity */
ierr = PetscObjectSetName((PetscObject) fe, "deformation");CHKERRQ(ierr);
/* FEM prob */
ierr = DMGetDS(dm, &prob);CHKERRQ(ierr);
ierr = PetscDSSetDiscretization(prob, 0, (PetscObject) fe);CHKERRQ(ierr);
/* setup problem */
if (run_type==1) {
ierr = PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, g3_uu_3d);CHKERRQ(ierr);
ierr = PetscDSSetResidual(prob, 0, f0_u_x4, f1_u_3d);CHKERRQ(ierr);
} else {
ierr = PetscDSSetJacobian(prob, 0, 0, NULL, NULL, NULL, g3_uu_3d_alpha);CHKERRQ(ierr);
ierr = PetscDSSetResidual(prob, 0, f0_u, f1_u_3d_alpha);CHKERRQ(ierr);
ierr = PetscDSSetBdResidual(prob, 0, f0_bd_u_3d, f1_bd_u);CHKERRQ(ierr);
}
/* bcs */
if (run_type==1) {
PetscInt id = 1;
ierr = DMAddBoundary(dm, DM_BC_ESSENTIAL, "wall", "boundary", 0, 0, NULL, (void (*)()) zero, 1, &id, NULL);CHKERRQ(ierr);
} else {
ierr = PetscDSAddBoundary(prob, DM_BC_ESSENTIAL, "fixed", "Faces", 0, Ncomp, components, (void (*)()) zero, Nfid, fid, NULL);CHKERRQ(ierr);
ierr = PetscDSAddBoundary(prob, DM_BC_NATURAL, "traction", "Faces", 0, Ncomp, components, NULL, Npid, pid, NULL);CHKERRQ(ierr);
}
while (cdm) {
ierr = DMSetDS(cdm,prob);CHKERRQ(ierr);
ierr = DMGetCoarseDM(cdm, &cdm);CHKERRQ(ierr);
}
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
}
/* vecs & mat */
ierr = DMCreateGlobalVector(dm,&xx);CHKERRQ(ierr);
ierr = VecDuplicate(xx, &bb);CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) bb, "b");CHKERRQ(ierr);
ierr = PetscObjectSetName((PetscObject) xx, "u");CHKERRQ(ierr);
ierr = DMCreateMatrix(dm, &Amat);CHKERRQ(ierr);
ierr = VecGetSize(bb,&N);CHKERRQ(ierr);
local_sizes[iter] = N;
ierr = PetscPrintf(PETSC_COMM_WORLD,"[%d]%s %d global equations, %d vertices\n",rank,PETSC_FUNCTION_NAME,N,N/dim);CHKERRQ(ierr);
if (use_nearnullspace && N/dim > 1) {
/* Set up the near null space (a.k.a. rigid body modes) that will be used by the multigrid preconditioner */
DM subdm;
MatNullSpace nearNullSpace;
PetscInt fields = 0;
PetscObject deformation;
ierr = DMCreateSubDM(dm, 1, &fields, NULL, &subdm);CHKERRQ(ierr);
ierr = DMPlexCreateRigidBody(subdm, &nearNullSpace);CHKERRQ(ierr);
ierr = DMGetField(dm, 0, &deformation);CHKERRQ(ierr);
ierr = PetscObjectCompose(deformation, "nearnullspace", (PetscObject) nearNullSpace);CHKERRQ(ierr);
ierr = DMDestroy(&subdm);CHKERRQ(ierr);
ierr = MatNullSpaceDestroy(&nearNullSpace);CHKERRQ(ierr); /* created by DM and destroyed by Mat */
}
ierr = DMPlexSetSNESLocalFEM(dm,NULL,NULL,NULL);CHKERRQ(ierr);
ierr = SNESSetJacobian(snes, Amat, Amat, NULL, NULL);CHKERRQ(ierr);
ierr = SNESSetFromOptions(snes);CHKERRQ(ierr);
ierr = DMSetUp(dm);CHKERRQ(ierr);
ierr = PetscLogStagePop();CHKERRQ(ierr);
ierr = PetscLogStagePush(stage[0]);CHKERRQ(ierr);
/* ksp */
ierr = SNESGetKSP(snes, &ksp);CHKERRQ(ierr);
ierr = KSPSetComputeSingularValues(ksp,PETSC_TRUE);CHKERRQ(ierr);
/* test BCs */
ierr = VecZeroEntries(xx);CHKERRQ(ierr);
if (test_nonzero_cols) {
if (rank==0) ierr = VecSetValue(xx,0,1.0,INSERT_VALUES);CHKERRQ(ierr);
ierr = VecAssemblyBegin(xx);CHKERRQ(ierr);
ierr = VecAssemblyEnd(xx);CHKERRQ(ierr);
}
ierr = VecZeroEntries(bb);CHKERRQ(ierr);
ierr = VecGetSize(bb,&i);CHKERRQ(ierr);
local_sizes[iter] = i;
ierr = PetscPrintf(PETSC_COMM_WORLD,"[%d]%s %d equations in vector, %d vertices\n",rank,PETSC_FUNCTION_NAME,i,i/dim);CHKERRQ(ierr);
/* setup solver, dummy solve to really setup */
if (0) {
ierr = KSPSetTolerances(ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,1);CHKERRQ(ierr);
ierr = SNESSolve(snes, bb, xx);CHKERRQ(ierr);
ierr = KSPSetTolerances(ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,50);CHKERRQ(ierr);
ierr = VecZeroEntries(xx);CHKERRQ(ierr);
}
ierr = PetscLogStagePop();CHKERRQ(ierr);
/* solve */
ierr = PetscLogStagePush(stage[1]);CHKERRQ(ierr);
ierr = SNESSolve(snes, bb, xx);CHKERRQ(ierr);
ierr = PetscLogStagePop();CHKERRQ(ierr);
ierr = VecNorm(xx,NORM_INFINITY,&mdisp[iter]);CHKERRQ(ierr);
ierr = DMViewFromOptions(dm, NULL, "-dm_view");CHKERRQ(ierr);
{
PetscViewer viewer = NULL;
PetscViewerFormat fmt;
ierr = PetscOptionsGetViewer(comm,"ex56_","-vec_view",&viewer,&fmt,&flg);CHKERRQ(ierr);
if (flg) {
ierr = PetscViewerPushFormat(viewer,fmt);CHKERRQ(ierr);
ierr = VecView(xx,viewer);CHKERRQ(ierr);
ierr = VecView(bb,viewer);CHKERRQ(ierr);
ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
}
ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
}
/* Free work space */
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = SNESDestroy(&snes);CHKERRQ(ierr);
ierr = VecDestroy(&xx);CHKERRQ(ierr);
ierr = VecDestroy(&bb);CHKERRQ(ierr);
ierr = MatDestroy(&Amat);CHKERRQ(ierr);
}
ierr = DMDestroy(&basedm);CHKERRQ(ierr);
if (run_type==1) {
err[0] = 59.975208 - mdisp[0]; /* error with what I think is the exact solution */
} else {
err[0] = 171.038 - mdisp[0];
}
for (iter=1 ; iter<max_conv_its ; iter++) {
if (run_type==1) {
err[iter] = 59.975208 - mdisp[iter];
} else {
err[iter] = 171.038 - mdisp[iter];
}
PetscPrintf(PETSC_COMM_WORLD,"[%d]%s %D) N=%12D, max displ=%9.7e, disp diff=%9.2e, error=%4.3e, rate=%3.2g\n",
rank,PETSC_FUNCTION_NAME,iter,local_sizes[iter],mdisp[iter],
mdisp[iter]-mdisp[iter-1],err[iter],log(err[iter-1]/err[iter])/log(2.));
}
ierr = PetscFinalize();
return ierr;
}
int main(int argc, char **argv)
{
AppCtx ctx;
PetscErrorCode (**funcs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
DM dm;
PetscFE fe;
DMInterpolationInfo interpolator;
Vec lu, fieldVals;
PetscScalar *vals;
const PetscScalar *ivals, *vcoords;
PetscReal *pcoords;
PetscBool pointsAllProcs=PETSC_TRUE;
PetscInt spaceDim, c, Np, p;
PetscMPIInt rank, size;
PetscViewer selfviewer;
PetscErrorCode ierr;
ierr = PetscInitialize(&argc, &argv, NULL,help);if (ierr) return ierr;
ierr = ProcessOptions(PETSC_COMM_WORLD, &ctx);CHKERRQ(ierr);
ierr = CreateMesh(PETSC_COMM_WORLD, &ctx, &dm);CHKERRQ(ierr);
ierr = DMGetCoordinateDim(dm, &spaceDim);CHKERRQ(ierr);
ierr = MPI_Comm_rank(PETSC_COMM_WORLD, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(PETSC_COMM_WORLD, &size);CHKERRQ(ierr);
/* Create points */
ierr = CreatePoints(dm, &Np, &pcoords, &pointsAllProcs, &ctx);CHKERRQ(ierr);
/* Create interpolator */
ierr = DMInterpolationCreate(PETSC_COMM_WORLD, &interpolator);CHKERRQ(ierr);
ierr = DMInterpolationSetDim(interpolator, spaceDim);CHKERRQ(ierr);
ierr = DMInterpolationAddPoints(interpolator, Np, pcoords);CHKERRQ(ierr);
ierr = DMInterpolationSetUp(interpolator, dm, pointsAllProcs);CHKERRQ(ierr);
/* Check locations */
for (c = 0; c < interpolator->n; ++c) {
ierr = PetscSynchronizedPrintf(PETSC_COMM_WORLD, "[%d]Point %D is in Cell %D\n", rank, c, interpolator->cells[c]);CHKERRQ(ierr);
}
ierr = PetscSynchronizedFlush(PETSC_COMM_WORLD, NULL);CHKERRQ(ierr);
ierr = VecView(interpolator->coords, PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
/* Setup Discretization */
ierr = PetscFECreateDefault(PetscObjectComm((PetscObject) dm), ctx.dim, Nc, ctx.cellSimplex, NULL, -1, &fe);CHKERRQ(ierr);
ierr = DMSetField(dm, 0, NULL, (PetscObject) fe);CHKERRQ(ierr);
ierr = DMCreateDS(dm);CHKERRQ(ierr);
ierr = PetscFEDestroy(&fe);CHKERRQ(ierr);
/* Create function */
ierr = PetscCalloc2(Nc, &funcs, Nc, &vals);CHKERRQ(ierr);
for (c = 0; c < Nc; ++c) funcs[c] = linear;
ierr = DMGetLocalVector(dm, &lu);CHKERRQ(ierr);
ierr = DMProjectFunctionLocal(dm, 0.0, funcs, NULL, INSERT_ALL_VALUES, lu);CHKERRQ(ierr);
ierr = PetscViewerASCIIPushSynchronized(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = PetscViewerGetSubViewer(PETSC_VIEWER_STDOUT_WORLD,PETSC_COMM_SELF,&selfviewer);CHKERRQ(ierr);
ierr = PetscViewerASCIIPrintf(selfviewer, "[%d]solution\n", rank);CHKERRQ(ierr);
ierr = VecView(lu,selfviewer);CHKERRQ(ierr);
ierr = PetscViewerRestoreSubViewer(PETSC_VIEWER_STDOUT_WORLD,PETSC_COMM_SELF,&selfviewer);CHKERRQ(ierr);
ierr = PetscViewerFlush(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = PetscViewerASCIIPopSynchronized(PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
/* Check interpolant */
ierr = VecCreateSeq(PETSC_COMM_SELF, interpolator->n * Nc, &fieldVals);CHKERRQ(ierr);
ierr = DMInterpolationSetDof(interpolator, Nc);CHKERRQ(ierr);
ierr = DMInterpolationEvaluate(interpolator, dm, lu, fieldVals);CHKERRQ(ierr);
for (p = 0; p < size; ++p) {
if (p == rank) {
ierr = PetscPrintf(PETSC_COMM_SELF, "[%d]Field values\n", rank);CHKERRQ(ierr);
ierr = VecView(fieldVals, PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr);
}
ierr = PetscBarrier((PetscObject) dm);CHKERRQ(ierr);
}
ierr = VecGetArrayRead(interpolator->coords, &vcoords);CHKERRQ(ierr);
ierr = VecGetArrayRead(fieldVals, &ivals);CHKERRQ(ierr);
for (p = 0; p < interpolator->n; ++p) {
for (c = 0; c < Nc; ++c) {
#if defined(PETSC_USE_COMPLEX)
PetscReal vcoordsReal[3];
PetscInt i;
for (i = 0; i < spaceDim; i++) vcoordsReal[i] = PetscRealPart(vcoords[p * spaceDim + i]);
#else
const PetscReal *vcoordsReal = &vcoords[p*spaceDim];
#endif
(*funcs[c])(ctx.dim, 0.0, vcoordsReal, 1, vals, NULL);
if (PetscAbsScalar(ivals[p*Nc+c] - vals[c]) > PETSC_SQRT_MACHINE_EPSILON)
SETERRQ4(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid interpolated value %g != %g (%D, %D)", (double) PetscRealPart(ivals[p*Nc+c]), (double) PetscRealPart(vals[c]), p, c);
}
}
ierr = VecRestoreArrayRead(interpolator->coords, &vcoords);CHKERRQ(ierr);
ierr = VecRestoreArrayRead(fieldVals, &ivals);CHKERRQ(ierr);
/* Cleanup */
ierr = PetscFree(pcoords);CHKERRQ(ierr);
ierr = PetscFree2(funcs, vals);CHKERRQ(ierr);
ierr = VecDestroy(&fieldVals);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(dm, &lu);CHKERRQ(ierr);
ierr = DMInterpolationDestroy(&interpolator);CHKERRQ(ierr);
ierr = DMDestroy(&dm);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
