/* This is now Q_1-P_0 */
PetscErrorCode SetupSection(DM dm, AppCtx *user) {
PetscInt dim = user->dim;
PetscInt numComp[2] = {dim, 1};
PetscInt numVertexDof[2] = {dim, 0};
PetscInt numCellDof[2] = {0, 1};
PetscInt numFaceDof[6];
PetscInt d;
PetscErrorCode ierr;
PetscFunctionBegin;
for(d = 0; d < dim; ++d) {
numFaceDof[0*dim + d] = 0;
numFaceDof[1*dim + d] = 0;
}
ierr = DMDACreateSection(dm, numComp, numVertexDof, numFaceDof, numCellDof);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode SetupSection(DM dm, AppCtx *user)
{
PetscSection section;
const PetscInt numFields = 1;
PetscInt dim = user->dim;
PetscInt numBC = 0;
PetscInt bcFields[1] = {0};
IS bcPoints[1] = {NULL};
const PetscInt *numFieldDof[1];
PetscInt numComp[1];
PetscInt *numDof;
PetscInt f, d;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscFEGetNumComponents(user->fe, &numComp[0]);CHKERRQ(ierr);
ierr = PetscFEGetNumDof(user->fe, &numFieldDof[0]);CHKERRQ(ierr);
ierr = PetscMalloc1(1*(dim+1), &numDof);CHKERRQ(ierr);
for (d = 0; d <= dim; ++d) {
numDof[0*(dim+1)+d] = numFieldDof[0][d];
}
for (f = 0; f < numFields; ++f) {
for (d = 1; d < dim; ++d) {
if ((numDof[f*(dim+1)+d] > 0) && !user->interpolate) SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_WRONG, "Mesh must be interpolated when unknowns are specified on edges or faces.");
}
}
if (user->simplex) {
ierr = DMPlexCreateSection(dm, dim, numFields, numComp, numDof, numBC, bcFields, bcPoints, §ion);CHKERRQ(ierr);
} else {
ierr = DMDACreateSection(dm, numComp, numDof, NULL, §ion);CHKERRQ(ierr);
}
ierr = DMSetDefaultSection(dm, section);CHKERRQ(ierr);
ierr = PetscSectionDestroy(§ion);CHKERRQ(ierr);
ierr = PetscFree(numDof);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
/*@
DMDASetUniformCoordinates - Sets a DMDA coordinates to be a uniform grid
Collective on DMDA
Input Parameters:
+ da - the distributed array object
. xmin,xmax - extremes in the x direction
. ymin,ymax - extremes in the y direction (use NULL for 1 dimensional problems)
- zmin,zmax - extremes in the z direction (use NULL for 1 or 2 dimensional problems)
Level: beginner
.seealso: DMSetCoordinates(), DMGetCoordinates(), DMDACreate1d(), DMDACreate2d(), DMDACreate3d()
@*/
PetscErrorCode DMDASetUniformCoordinates(DM da,PetscReal xmin,PetscReal xmax,PetscReal ymin,PetscReal ymax,PetscReal zmin,PetscReal zmax)
{
MPI_Comm comm;
PetscSection section;
DM cda;
DMBoundaryType bx,by,bz;
Vec xcoor;
PetscScalar *coors;
PetscReal hx,hy,hz_;
PetscInt i,j,k,M,N,P,istart,isize,jstart,jsize,kstart,ksize,dim,cnt;
PetscErrorCode ierr;
PetscFunctionBegin;
PetscValidHeaderSpecific(da,DM_CLASSID,1);
ierr = DMDAGetInfo(da,&dim,&M,&N,&P,0,0,0,0,0,&bx,&by,&bz,0);CHKERRQ(ierr);
if (xmax <= xmin) SETERRQ2(PetscObjectComm((PetscObject)da),PETSC_ERR_ARG_INCOMP,"xmax must be larger than xmin %g %g",(double)xmin,(double)xmax);
if ((ymax <= ymin) && (dim > 1)) SETERRQ2(PetscObjectComm((PetscObject)da),PETSC_ERR_ARG_INCOMP,"ymax must be larger than ymin %g %g",(double)ymin,(double)ymax);
if ((zmax <= zmin) && (dim > 2)) SETERRQ2(PetscObjectComm((PetscObject)da),PETSC_ERR_ARG_INCOMP,"zmax must be larger than zmin %g %g",(double)zmin,(double)zmax);
ierr = PetscObjectGetComm((PetscObject)da,&comm);CHKERRQ(ierr);
ierr = DMGetDefaultSection(da,§ion);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&istart,&jstart,&kstart,&isize,&jsize,&ksize);CHKERRQ(ierr);
ierr = DMGetCoordinateDM(da, &cda);CHKERRQ(ierr);
if (section) {
/* This would be better as a vector, but this is compatible */
PetscInt numComp[3] = {1, 1, 1};
PetscInt numVertexDof[3] = {1, 1, 1};
ierr = DMDASetFieldName(cda, 0, "x");CHKERRQ(ierr);
if (dim > 1) {ierr = DMDASetFieldName(cda, 1, "y");CHKERRQ(ierr);}
if (dim > 2) {ierr = DMDASetFieldName(cda, 2, "z");CHKERRQ(ierr);}
ierr = DMDACreateSection(cda, numComp, numVertexDof, NULL, NULL);CHKERRQ(ierr);
}
ierr = DMCreateGlobalVector(cda, &xcoor);CHKERRQ(ierr);
if (section) {
PetscSection csection;
PetscInt vStart, vEnd;
ierr = DMGetDefaultGlobalSection(cda,&csection);CHKERRQ(ierr);
ierr = VecGetArray(xcoor,&coors);CHKERRQ(ierr);
ierr = DMDAGetHeightStratum(da, dim, &vStart, &vEnd);CHKERRQ(ierr);
if (bx == DM_BOUNDARY_PERIODIC) hx = (xmax-xmin)/(M+1);
else hx = (xmax-xmin)/(M ? M : 1);
if (by == DM_BOUNDARY_PERIODIC) hy = (ymax-ymin)/(N+1);
else hy = (ymax-ymin)/(N ? N : 1);
if (bz == DM_BOUNDARY_PERIODIC) hz_ = (zmax-zmin)/(P+1);
else hz_ = (zmax-zmin)/(P ? P : 1);
switch (dim) {
case 1:
for (i = 0; i < isize+1; ++i) {
PetscInt v = i+vStart, dof, off;
ierr = PetscSectionGetDof(csection, v, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(csection, v, &off);CHKERRQ(ierr);
if (off >= 0) {
coors[off] = xmin + hx*(i+istart);
}
}
break;
case 2:
for (j = 0; j < jsize+1; ++j) {
for (i = 0; i < isize+1; ++i) {
PetscInt v = j*(isize+1)+i+vStart, dof, off;
ierr = PetscSectionGetDof(csection, v, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(csection, v, &off);CHKERRQ(ierr);
if (off >= 0) {
coors[off+0] = xmin + hx*(i+istart);
coors[off+1] = ymin + hy*(j+jstart);
}
}
}
break;
case 3:
for (k = 0; k < ksize+1; ++k) {
for (j = 0; j < jsize+1; ++j) {
for (i = 0; i < isize+1; ++i) {
PetscInt v = (k*(jsize+1)+j)*(isize+1)+i+vStart, dof, off;
ierr = PetscSectionGetDof(csection, v, &dof);CHKERRQ(ierr);
ierr = PetscSectionGetOffset(csection, v, &off);CHKERRQ(ierr);
if (off >= 0) {
coors[off+0] = xmin + hx*(i+istart);
coors[off+1] = ymin + hy*(j+jstart);
coors[off+2] = zmin + hz_*(k+kstart);
}
}
}
}
break;
default:
SETERRQ1(PetscObjectComm((PetscObject)da),PETSC_ERR_SUP,"Cannot create uniform coordinates for this dimension %D\n",dim);
}
ierr = VecRestoreArray(xcoor,&coors);CHKERRQ(ierr);
ierr = DMSetCoordinates(da,xcoor);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)da,(PetscObject)xcoor);CHKERRQ(ierr);
ierr = VecDestroy(&xcoor);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
if (dim == 1) {
if (bx == DM_BOUNDARY_PERIODIC) hx = (xmax-xmin)/M;
else hx = (xmax-xmin)/(M-1);
ierr = VecGetArray(xcoor,&coors);CHKERRQ(ierr);
for (i=0; i<isize; i++) {
coors[i] = xmin + hx*(i+istart);
}
ierr = VecRestoreArray(xcoor,&coors);CHKERRQ(ierr);
} else if (dim == 2) {
if (bx == DM_BOUNDARY_PERIODIC) hx = (xmax-xmin)/(M);
else hx = (xmax-xmin)/(M-1);
if (by == DM_BOUNDARY_PERIODIC) hy = (ymax-ymin)/(N);
else hy = (ymax-ymin)/(N-1);
ierr = VecGetArray(xcoor,&coors);CHKERRQ(ierr);
cnt = 0;
for (j=0; j<jsize; j++) {
for (i=0; i<isize; i++) {
coors[cnt++] = xmin + hx*(i+istart);
coors[cnt++] = ymin + hy*(j+jstart);
}
}
ierr = VecRestoreArray(xcoor,&coors);CHKERRQ(ierr);
} else if (dim == 3) {
if (bx == DM_BOUNDARY_PERIODIC) hx = (xmax-xmin)/(M);
else hx = (xmax-xmin)/(M-1);
if (by == DM_BOUNDARY_PERIODIC) hy = (ymax-ymin)/(N);
else hy = (ymax-ymin)/(N-1);
if (bz == DM_BOUNDARY_PERIODIC) hz_ = (zmax-zmin)/(P);
else hz_ = (zmax-zmin)/(P-1);
ierr = VecGetArray(xcoor,&coors);CHKERRQ(ierr);
cnt = 0;
for (k=0; k<ksize; k++) {
for (j=0; j<jsize; j++) {
for (i=0; i<isize; i++) {
coors[cnt++] = xmin + hx*(i+istart);
coors[cnt++] = ymin + hy*(j+jstart);
coors[cnt++] = zmin + hz_*(k+kstart);
}
}
}
ierr = VecRestoreArray(xcoor,&coors);CHKERRQ(ierr);
} else SETERRQ1(PetscObjectComm((PetscObject)da),PETSC_ERR_SUP,"Cannot create uniform coordinates for this dimension %D\n",dim);
ierr = DMSetCoordinates(da,xcoor);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)da,(PetscObject)xcoor);CHKERRQ(ierr);
ierr = VecDestroy(&xcoor);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
