コード例 #1
0
static PetscErrorCode DMPlexGetVTKConnectivity(DM dm,PieceInfo *piece,PetscVTKInt **oconn,PetscVTKInt **ooffsets,PetscVTKType **otypes)
{
  PetscErrorCode ierr;
  PetscVTKInt    *conn,*offsets;
  PetscVTKType   *types;
  PetscInt       dim,vStart,vEnd,cStart,cEnd,pStart,pEnd,cellHeight,cMax,numLabelCells,hasLabel,c,v,countcell,countconn;

  PetscFunctionBegin;
  ierr = PetscMalloc3(piece->nconn,PetscVTKInt,&conn,piece->ncells,PetscVTKInt,&offsets,piece->ncells,PetscVTKType,&types);CHKERRQ(ierr);

  ierr = DMPlexGetDimension(dm,&dim);CHKERRQ(ierr);
  ierr = DMPlexGetChart(dm,&pStart,&pEnd);CHKERRQ(ierr);
  ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
  ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
  ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
  if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
  ierr     = DMPlexGetStratumSize(dm, "vtk", 1, &numLabelCells);CHKERRQ(ierr);
  hasLabel = numLabelCells > 0 ? PETSC_TRUE : PETSC_FALSE;

  countcell = 0;
  countconn = 0;
  for (c = cStart; c < cEnd; ++c) {
    PetscInt *closure = NULL;
    PetscInt  closureSize,nverts,celltype,startoffset,nC=0;

    if (hasLabel) {
      PetscInt value;

      ierr = DMPlexGetLabelValue(dm, "vtk", c, &value);CHKERRQ(ierr);
      if (value != 1) continue;
    }
    startoffset = countconn;
    ierr        = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
    for (v = 0; v < closureSize*2; v += 2) {
      if ((closure[v] >= vStart) && (closure[v] < vEnd)) {
        conn[countconn++] = closure[v] - vStart;
        ++nC;
      }
    }
    ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
    ierr = DMPlexInvertCell(dim, nC, &conn[countconn-nC]);CHKERRQ(ierr);

    offsets[countcell] = countconn;

    nverts = countconn - startoffset;
    ierr   = DMPlexVTKGetCellType(dm,dim,nverts,&celltype);CHKERRQ(ierr);

    types[countcell] = celltype;
    countcell++;
  }
  if (countcell != piece->ncells) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Inconsistent cell count");
  if (countconn != piece->nconn) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Inconsistent connectivity count");
  *oconn    = conn;
  *ooffsets = offsets;
  *otypes   = types;
  PetscFunctionReturn(0);
}
コード例 #2
0
ファイル: plexvtk.c プロジェクト: pombredanne/petsc
PetscErrorCode DMPlexVTKWritePartition_ASCII(DM dm, FILE *fp)
{
  MPI_Comm       comm;
  PetscInt       numCells = 0, cellHeight;
  PetscInt       numLabelCells, cMax, cStart, cEnd, c;
  PetscMPIInt    numProcs, rank, proc, tag;
  PetscBool      hasLabel;
  PetscErrorCode ierr;

  PetscFunctionBegin;
  ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
  ierr = PetscCommGetNewTag(comm, &tag);CHKERRQ(ierr);
  ierr = MPI_Comm_size(comm, &numProcs);CHKERRQ(ierr);
  ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
  ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
  ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
  if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
  ierr = DMPlexGetStratumSize(dm, "vtk", 1, &numLabelCells);CHKERRQ(ierr);
  hasLabel = numLabelCells > 0 ? PETSC_TRUE : PETSC_FALSE;
  for (c = cStart; c < cEnd; ++c) {
    if (hasLabel) {
      PetscInt value;

      ierr = DMPlexGetLabelValue(dm, "vtk", c, &value);CHKERRQ(ierr);
      if (value != 1) continue;
    }
    ++numCells;
  }
  if (!rank) {
    for (c = 0; c < numCells; ++c) {ierr = PetscFPrintf(comm, fp, "%d\n", rank);CHKERRQ(ierr);}
    for (proc = 1; proc < numProcs; ++proc) {
      MPI_Status status;

      ierr = MPI_Recv(&numCells, 1, MPIU_INT, proc, tag, comm, &status);CHKERRQ(ierr);
      for (c = 0; c < numCells; ++c) {ierr = PetscFPrintf(comm, fp, "%d\n", proc);CHKERRQ(ierr);}
    }
  } else {
    ierr = MPI_Send(&numCells, 1, MPIU_INT, 0, tag, comm);CHKERRQ(ierr);
  }
  PetscFunctionReturn(0);
}
コード例 #3
0
ファイル: plexvtk.c プロジェクト: pombredanne/petsc
PetscErrorCode DMPlexVTKWriteSection_ASCII(DM dm, PetscSection section, PetscSection globalSection, Vec v, FILE *fp, PetscInt enforceDof, PetscInt precision, PetscReal scale)
{
  MPI_Comm           comm;
  const MPI_Datatype mpiType = MPIU_SCALAR;
  PetscScalar        *array;
  PetscInt           numDof = 0, maxDof;
  PetscInt           numLabelCells, cellHeight, cMax, cStart, cEnd, numLabelVertices, vMax, vStart, vEnd, pStart, pEnd, p;
  PetscMPIInt        numProcs, rank, proc, tag;
  PetscBool          hasLabel;
  PetscErrorCode     ierr;

  PetscFunctionBegin;
  ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
  PetscValidHeaderSpecific(dm,DM_CLASSID,1);
  PetscValidHeaderSpecific(v,VEC_CLASSID,4);
  if (precision < 0) precision = 6;
  ierr = PetscCommGetNewTag(comm, &tag);CHKERRQ(ierr);
  ierr = MPI_Comm_size(comm, &numProcs);CHKERRQ(ierr);
  ierr = MPI_Comm_rank(comm, &rank);CHKERRQ(ierr);
  ierr = PetscSectionGetChart(section, &pStart, &pEnd);CHKERRQ(ierr);
  /* VTK only wants the values at cells or vertices */
  ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
  ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
  ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, &vMax);CHKERRQ(ierr);
  if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
  if (vMax >= 0) vEnd = PetscMin(vEnd, vMax);
  pStart   = PetscMax(PetscMin(cStart, vStart), pStart);
  pEnd     = PetscMin(PetscMax(cEnd,   vEnd),   pEnd);
  ierr     = DMPlexGetStratumSize(dm, "vtk", 1, &numLabelCells);CHKERRQ(ierr);
  ierr     = DMPlexGetStratumSize(dm, "vtk", 2, &numLabelVertices);CHKERRQ(ierr);
  hasLabel = numLabelCells > 0 || numLabelVertices > 0 ? PETSC_TRUE : PETSC_FALSE;
  for (p = pStart; p < pEnd; ++p) {
    /* Reject points not either cells or vertices */
    if (((p < cStart) || (p >= cEnd)) && ((p < vStart) || (p >= vEnd))) continue;
    if (hasLabel) {
      PetscInt value;

      if (((p >= cStart) && (p < cEnd) && numLabelCells) ||
          ((p >= vStart) && (p < vEnd) && numLabelVertices)) {
        ierr = DMPlexGetLabelValue(dm, "vtk", p, &value);CHKERRQ(ierr);
        if (value != 1) continue;
      }
    }
    ierr = PetscSectionGetDof(section, p, &numDof);CHKERRQ(ierr);
    if (numDof) break;
  }
  ierr = MPI_Allreduce(&numDof, &maxDof, 1, MPIU_INT, MPI_MAX, comm);CHKERRQ(ierr);
  enforceDof = PetscMax(enforceDof, maxDof);
  ierr = VecGetArray(v, &array);CHKERRQ(ierr);
  if (!rank) {
    char formatString[8];

    ierr = PetscSNPrintf(formatString, 8, "%%.%de", precision);CHKERRQ(ierr);
    for (p = pStart; p < pEnd; ++p) {
      /* Here we lose a way to filter points by keeping them out of the Numbering */
      PetscInt dof, off, goff, d;

      /* Reject points not either cells or vertices */
      if (((p < cStart) || (p >= cEnd)) && ((p < vStart) || (p >= vEnd))) continue;
      if (hasLabel) {
        PetscInt value;

        if (((p >= cStart) && (p < cEnd) && numLabelCells) ||
            ((p >= vStart) && (p < vEnd) && numLabelVertices)) {
          ierr = DMPlexGetLabelValue(dm, "vtk", p, &value);CHKERRQ(ierr);
          if (value != 1) continue;
        }
      }
      ierr = PetscSectionGetDof(section, p, &dof);CHKERRQ(ierr);
      ierr = PetscSectionGetOffset(section, p, &off);CHKERRQ(ierr);
      ierr = PetscSectionGetOffset(globalSection, p, &goff);CHKERRQ(ierr);
      if (dof && goff >= 0) {
        for (d = 0; d < dof; d++) {
          if (d > 0) {
            ierr = PetscFPrintf(comm, fp, " ");CHKERRQ(ierr);
          }
          ierr = PetscFPrintf(comm, fp, formatString, PetscRealPart(array[off+d])*scale);CHKERRQ(ierr);
        }
        for (d = dof; d < enforceDof; d++) {
          ierr = PetscFPrintf(comm, fp, " 0.0");CHKERRQ(ierr);
        }
        ierr = PetscFPrintf(comm, fp, "\n");CHKERRQ(ierr);
      }
    }
    for (proc = 1; proc < numProcs; ++proc) {
      PetscScalar *remoteValues;
      PetscInt    size = 0, d;
      MPI_Status  status;

      ierr = MPI_Recv(&size, 1, MPIU_INT, proc, tag, comm, &status);CHKERRQ(ierr);
      ierr = PetscMalloc1(size, &remoteValues);CHKERRQ(ierr);
      ierr = MPI_Recv(remoteValues, size, mpiType, proc, tag, comm, &status);CHKERRQ(ierr);
      for (p = 0; p < size/maxDof; ++p) {
        for (d = 0; d < maxDof; ++d) {
          if (d > 0) {
            ierr = PetscFPrintf(comm, fp, " ");CHKERRQ(ierr);
          }
          ierr = PetscFPrintf(comm, fp, formatString, PetscRealPart(remoteValues[p*maxDof+d])*scale);CHKERRQ(ierr);
        }
        for (d = maxDof; d < enforceDof; ++d) {
          ierr = PetscFPrintf(comm, fp, " 0.0");CHKERRQ(ierr);
        }
        ierr = PetscFPrintf(comm, fp, "\n");CHKERRQ(ierr);
      }
      ierr = PetscFree(remoteValues);CHKERRQ(ierr);
    }
  } else {
    PetscScalar *localValues;
    PetscInt    size, k = 0;

    ierr = PetscSectionGetStorageSize(section, &size);CHKERRQ(ierr);
    ierr = PetscMalloc1(size, &localValues);CHKERRQ(ierr);
    for (p = pStart; p < pEnd; ++p) {
      PetscInt dof, off, goff, d;

      /* Reject points not either cells or vertices */
      if (((p < cStart) || (p >= cEnd)) && ((p < vStart) || (p >= vEnd))) continue;
      if (hasLabel) {
        PetscInt value;

        if (((p >= cStart) && (p < cEnd) && numLabelCells) ||
            ((p >= vStart) && (p < vEnd) && numLabelVertices)) {
          ierr = DMPlexGetLabelValue(dm, "vtk", p, &value);CHKERRQ(ierr);
          if (value != 1) continue;
        }
      }
      ierr = PetscSectionGetDof(section, p, &dof);CHKERRQ(ierr);
      ierr = PetscSectionGetOffset(section, p, &off);CHKERRQ(ierr);
      ierr = PetscSectionGetOffset(globalSection, p, &goff);CHKERRQ(ierr);
      if (goff >= 0) {
        for (d = 0; d < dof; ++d) {
          localValues[k++] = array[off+d];
        }
      }
    }
    ierr = MPI_Send(&k, 1, MPIU_INT, 0, tag, comm);CHKERRQ(ierr);
    ierr = MPI_Send(localValues, k, mpiType, 0, tag, comm);CHKERRQ(ierr);
    ierr = PetscFree(localValues);CHKERRQ(ierr);
  }
  ierr = VecRestoreArray(v, &array);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}
コード例 #4
0
ファイル: SetupJacobian.c プロジェクト: rlchen2008/FVM-Rlchen
PetscErrorCode ComputeJacobian_LS(DM dm, Vec locX, PetscInt cell, PetscScalar CellValues[], void *ctx)
{
  User              user = (User) ctx;
  Physics           phys = user->model->physics;
  PetscInt          dof = phys->dof;
  const PetscScalar *facegeom, *cellgeom,*x;
  PetscErrorCode    ierr;
  DM                dmFace, dmCell;

  DM                dmGrad = user->dmGrad;
  PetscInt          fStart, fEnd, face, cStart;
  Vec               locGrad, locGradLimiter, Grad;
  /*here the localGradLimiter refers to the gradient that has been multiplied by the limiter function.
   The locGradLimiter is used to construct the uL and uR, and the locGrad is used to caculate the diffusion term*/
  Vec               TempVec; /*a temperal vec for the vector restore*/

  PetscFunctionBeginUser;

  ierr = VecGetDM(user->facegeom,&dmFace);CHKERRQ(ierr);
  ierr = VecGetDM(user->cellgeom,&dmCell);CHKERRQ(ierr);

  ierr = DMGetGlobalVector(dmGrad,&Grad);CHKERRQ(ierr);
  ierr = VecDuplicate(Grad, &TempVec);CHKERRQ(ierr);
  ierr = VecCopy(Grad, TempVec);CHKERRQ(ierr);
  /*Backup the original vector and use it to restore the value of dmGrad,
    because I do not want to change the values of the cell gradient*/

  ierr = VecGetArrayRead(user->facegeom,&facegeom);CHKERRQ(ierr);
  ierr = VecGetArrayRead(user->cellgeom,&cellgeom);CHKERRQ(ierr);
  ierr = VecGetArrayRead(locX,&x);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, 0, &cStart, NULL);CHKERRQ(ierr);
  {
    PetscScalar *grad;
    ierr = VecGetArray(Grad,&grad);CHKERRQ(ierr);

    /* Limit interior gradients. Using cell-based loop because it generalizes better to vector limiters. */

      const PetscInt    *faces;
      PetscInt          numFaces,f;
      PetscReal         *cellPhi; /* Scalar limiter applied to each component separately */
      const PetscScalar *cx;
      const CellGeom    *cg;
      PetscScalar       *cgrad;
      PetscInt          i;

      ierr = PetscMalloc(phys->dof*sizeof(PetscScalar),&cellPhi);CHKERRQ(ierr);

      ierr = DMPlexGetConeSize(dm,cell,&numFaces);CHKERRQ(ierr);
      ierr = DMPlexGetCone(dm,cell,&faces);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dm,cell,x,&cx);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dmCell,cell,cellgeom,&cg);CHKERRQ(ierr);
      ierr = DMPlexPointGlobalRef(dmGrad,cell,grad,&cgrad);CHKERRQ(ierr);

      /* Limiter will be minimum value over all neighbors */
      for (i=0; i<dof; i++) {
        cellPhi[i] = PETSC_MAX_REAL;
      }
      for (f=0; f<numFaces; f++) {
        const PetscScalar *ncx;
        const CellGeom    *ncg;
        const PetscInt    *fcells;
        PetscInt          face = faces[f],ncell;
        PetscScalar       v[DIM];
        PetscBool         ghost;
        ierr = IsExteriorGhostFace(dm,face,&ghost);CHKERRQ(ierr);
        if (ghost) continue;
        ierr  = DMPlexGetSupport(dm,face,&fcells);CHKERRQ(ierr);
        ncell = cell == fcells[0] ? fcells[1] : fcells[0];  /*The expression (x ? y : z) has the value of y if x is nonzero, z otherwise */
        ierr  = DMPlexPointLocalRead(dm,ncell,x,&ncx);CHKERRQ(ierr);
        ierr  = DMPlexPointLocalRead(dmCell,ncell,cellgeom,&ncg);CHKERRQ(ierr);
        Waxpy2(-1, cg->centroid, ncg->centroid, v);
        for (i=0; i<dof; i++) {
          /* We use the symmetric slope limited form of Berger, Aftosmis, and Murman 2005 */
          PetscScalar phi,flim = 0.5 * (ncx[i] - cx[i]) / Dot2(&cgrad[i*DIM],v);
          phi        = (*user->LimitGrad)(flim);
          cellPhi[i] = PetscMin(cellPhi[i],phi);
        }
      }
      /* Apply limiter to gradient */
      for (i=0; i<dof; i++) Scale2(cellPhi[i],&cgrad[i*DIM],&cgrad[i*DIM]);

      ierr = PetscFree(cellPhi);CHKERRQ(ierr);

    ierr = VecRestoreArray(Grad,&grad);CHKERRQ(ierr);
  }
  ierr = DMGetLocalVector(dmGrad,&locGradLimiter);CHKERRQ(ierr);
  ierr = DMGlobalToLocalBegin(dmGrad,Grad,INSERT_VALUES,locGradLimiter);CHKERRQ(ierr);
  ierr = DMGlobalToLocalEnd(dmGrad,Grad,INSERT_VALUES,locGradLimiter);CHKERRQ(ierr);

  ierr = VecCopy(TempVec, Grad);CHKERRQ(ierr);/*Restore the vector*/

  ierr = DMGetLocalVector(dmGrad,&locGrad);CHKERRQ(ierr);
  ierr = DMGlobalToLocalBegin(dmGrad,Grad,INSERT_VALUES,locGrad);CHKERRQ(ierr);
  ierr = DMGlobalToLocalEnd(dmGrad,Grad,INSERT_VALUES,locGrad);CHKERRQ(ierr);

  ierr = DMRestoreGlobalVector(dmGrad,&Grad);CHKERRQ(ierr);
  ierr = VecDestroy(&TempVec);CHKERRQ(ierr);

  {
    const PetscScalar *grad, *gradlimiter;
    ierr = VecGetArrayRead(locGrad,&grad);CHKERRQ(ierr);
    ierr = VecGetArrayRead(locGradLimiter,&gradlimiter);CHKERRQ(ierr);
    for (face=fStart; face<fEnd; face++) {
      const PetscInt    *cells;
      PetscInt          ghost,i,j;
      PetscScalar       *fluxcon, *fluxdiff, *fx[2];
      const FaceGeom    *fg;
      const CellGeom    *cg[2];
      const PetscScalar *cx[2],*cgrad[2], *cgradlimiter[2];
      PetscScalar       *uL, *uR;
      PetscReal         FaceArea;

      ierr = PetscMalloc(phys->dof * phys->dof * sizeof(PetscScalar), &fluxcon);CHKERRQ(ierr); /*For the convection terms*/
      ierr = PetscMalloc(phys->dof * phys->dof * sizeof(PetscScalar), &fluxdiff);CHKERRQ(ierr); /*For the diffusion terms*/
      ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &uL);CHKERRQ(ierr);
      ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &uR);CHKERRQ(ierr);

      fx[0] = uL; fx[1] = uR;

      ierr = DMPlexGetLabelValue(dm, "ghost", face, &ghost);CHKERRQ(ierr);
      if (ghost >= 0) continue;
      ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dmFace,face,facegeom,&fg);CHKERRQ(ierr);
      for (i=0; i<2; i++) {
        PetscScalar dx[DIM];
        ierr = DMPlexPointLocalRead(dmCell,cells[i],cellgeom,&cg[i]);CHKERRQ(ierr);
        ierr = DMPlexPointLocalRead(dm,cells[i],x,&cx[i]);CHKERRQ(ierr);
        ierr = DMPlexPointLocalRead(dmGrad,cells[i],gradlimiter,&cgradlimiter[i]);CHKERRQ(ierr);
        ierr = DMPlexPointLocalRead(dmGrad,cells[i],grad,&cgrad[i]);CHKERRQ(ierr);
        Waxpy2(-1,cg[i]->centroid,fg->centroid,dx);
        for (j=0; j<dof; j++) {
          fx[i][j] = cx[i][j] + Dot2(cgradlimiter[i],dx);
        }
        /*fx[0] and fx[1] are the value of the variables on the left and right
          side of the face, respectively, that is u_L and u_R.*/
      }

      ierr = RiemannSolver_Rusanov_Jacobian(user, cgrad[0], cgrad[1], fg->centroid, cg[0]->centroid, cg[1]->centroid, fg->normal,
                  fx[0], fx[1], fluxcon, fluxdiff);CHKERRQ(ierr);

      ierr = DMPlexComputeCellGeometryFVM(dm, face, &FaceArea, NULL, NULL);CHKERRQ(ierr);
        /*Compute the face area*/

      for (i=0; i<phys->dof; i++) {
        for (j=0; j<phys->dof; j++) {
          if(cells[0]<user->cEndInterior) CellValues[cells[0]*dof*dof + i*dof + j] -= cells[0]*1.0;
          if(cells[1]<user->cEndInterior) CellValues[cells[1]*dof*dof + i*dof + j] += cells[1]*1.2;
        }
      }
//      ierr = PetscPrintf(PETSC_COMM_WORLD,"\n");CHKERRQ(ierr);
      ierr = PetscFree(fluxcon);CHKERRQ(ierr);
      ierr = PetscFree(fluxdiff);CHKERRQ(ierr);
      ierr = PetscFree(uL);CHKERRQ(ierr);
      ierr = PetscFree(uR);CHKERRQ(ierr);
    }
    ierr = VecRestoreArrayRead(locGrad,&grad);CHKERRQ(ierr);
    ierr = VecRestoreArrayRead(locGradLimiter,&gradlimiter);CHKERRQ(ierr);
  }
  ierr = VecRestoreArrayRead(user->facegeom,&facegeom);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(user->cellgeom,&cellgeom);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(locX,&x);CHKERRQ(ierr);
  ierr = DMRestoreLocalVector(dmGrad,&locGradLimiter);CHKERRQ(ierr);
  ierr = DMRestoreLocalVector(dmGrad,&locGrad);CHKERRQ(ierr);

  PetscFunctionReturn(0);
}
コード例 #5
0
/**
  Caculate the flux using the Monotonic Upstream-Centered Scheme for Conservation Laws (van Leer, 1979)
*/
PetscErrorCode CaculateLocalFunction_LS(DM dm,DM dmFace,DM dmCell,PetscReal time,Vec locX,Vec F,User user)
{
  DM                dmGrad = user->dmGrad;
  Model             mod    = user->model;
  Physics           phys   = mod->physics;
  const PetscInt    dof    = phys->dof;
  PetscErrorCode    ierr;
  const PetscScalar *facegeom, *cellgeom, *x;
  PetscScalar       *f;
  PetscInt          fStart, fEnd, face, cStart, cell;
  Vec               locGrad, locGradLimiter, Grad;
/*
    Here the localGradLimiter refers to the gradient that
    has been multiplied by the limiter function.
    The locGradLimiter is used to construct the uL and uR,
    and the locGrad is used to caculate the diffusion term
*/
  Vec               TempVec; /*a temperal vec for the vector restore*/

  PetscFunctionBeginUser;
  ierr = DMGetGlobalVector(dmGrad,&Grad);CHKERRQ(ierr);
  ierr = VecDuplicate(Grad, &TempVec);CHKERRQ(ierr);
  ierr = VecCopy(Grad, TempVec);CHKERRQ(ierr);
/*
  Backup the original vector and use it to restore the value of dmGrad,
  because I do not want to change the values of the cell gradient.
*/
  ierr = VecGetArrayRead(user->facegeom,&facegeom);CHKERRQ(ierr);
  ierr = VecGetArrayRead(user->cellgeom,&cellgeom);CHKERRQ(ierr);
  ierr = VecGetArrayRead(locX,&x);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, 0, &cStart, NULL);CHKERRQ(ierr);

  {
    PetscScalar *grad;
    ierr = VecGetArray(Grad,&grad);CHKERRQ(ierr);
    const PetscInt    *faces;
    PetscInt          numFaces,f;
    PetscReal         *cellPhi; // Scalar limiter applied to each component separately
    const PetscScalar *cx;
    const CellGeom    *cg;
    PetscScalar       *cgrad;
    PetscInt          i;

    ierr = PetscMalloc(phys->dof*sizeof(PetscScalar),&cellPhi);CHKERRQ(ierr);
    // Limit interior gradients. Using cell-based loop because it generalizes better to vector limiters.
    for (cell=cStart; cell<user->cEndInterior; cell++) {
      ierr = DMPlexGetConeSize(dm,cell,&numFaces);CHKERRQ(ierr);
      ierr = DMPlexGetCone(dm,cell,&faces);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dm,cell,x,&cx);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dmCell,cell,cellgeom,&cg);CHKERRQ(ierr);
      ierr = DMPlexPointGlobalRef(dmGrad,cell,grad,&cgrad);CHKERRQ(ierr);
      if (!cgrad) continue;     // ghost cell, we don't compute
      // Limiter will be minimum value over all neighbors
      for (i=0; i<dof; i++) cellPhi[i] = PETSC_MAX_REAL;

      for (f=0; f<numFaces; f++) {
        const PetscScalar *ncx;
        const CellGeom    *ncg;
        const PetscInt    *fcells;
        PetscInt          face = faces[f],ncell;
        PetscScalar       v[DIM];
        PetscBool         ghost;
        ierr = IsExteriorGhostFace(dm,face,&ghost);CHKERRQ(ierr);
        if (ghost) continue;
        ierr  = DMPlexGetSupport(dm,face,&fcells);CHKERRQ(ierr);
        ncell = cell == fcells[0] ? fcells[1] : fcells[0];
        // The expression (x ? y : z) has the value of y if x is nonzero, z otherwise
        ierr  = DMPlexPointLocalRead(dm,ncell,x,&ncx);CHKERRQ(ierr);
        ierr  = DMPlexPointLocalRead(dmCell,ncell,cellgeom,&ncg);CHKERRQ(ierr);
        Waxpy2(-1, cg->centroid, ncg->centroid, v);
        for (i=0; i<dof; i++) {
          // We use the symmetric slope limited form of Berger, Aftosmis, and Murman 2005
          PetscScalar phi,flim = 0.5 * (ncx[i] - cx[i]) / Dot2(&cgrad[i*DIM],v);
          phi        = (*user->Limit)(flim);
          cellPhi[i] = PetscMin(cellPhi[i],phi);
        }
      }
      // Apply limiter to gradient
      for (i=0; i<dof; i++) Scale2(cellPhi[i],&cgrad[i*DIM],&cgrad[i*DIM]);
    }
    ierr = PetscFree(cellPhi);CHKERRQ(ierr);
    ierr = VecRestoreArray(Grad,&grad);CHKERRQ(ierr);
  }
  ierr = DMGetLocalVector(dmGrad,&locGradLimiter);CHKERRQ(ierr);
  ierr = DMGlobalToLocalBegin(dmGrad,Grad,INSERT_VALUES,locGradLimiter);CHKERRQ(ierr);
  ierr = DMGlobalToLocalEnd(dmGrad,Grad,INSERT_VALUES,locGradLimiter);CHKERRQ(ierr);

  ierr = VecCopy(TempVec, Grad);CHKERRQ(ierr);//Restore the vector

  ierr = DMGetLocalVector(dmGrad,&locGrad);CHKERRQ(ierr);
  ierr = DMGlobalToLocalBegin(dmGrad,Grad,INSERT_VALUES,locGrad);CHKERRQ(ierr);
  ierr = DMGlobalToLocalEnd(dmGrad,Grad,INSERT_VALUES,locGrad);CHKERRQ(ierr);

  ierr = DMRestoreGlobalVector(dmGrad,&Grad);CHKERRQ(ierr);
  ierr = VecDestroy(&TempVec);CHKERRQ(ierr);

  {
    const PetscScalar *grad, *gradlimiter;
    const PetscInt    *cells;
    PetscInt          ghost,i,j;
    PetscScalar       *fluxcon, *fluxdiff, *fx[2],*cf[2];
    const FaceGeom    *fg;
    const CellGeom    *cg[2];
    const PetscScalar *cx[2],*cgrad[2], *cgradlimiter[2];
    PetscScalar       *uL, *uR;
    PetscReal         FaceArea;

    ierr = VecGetArrayRead(locGrad,&grad);CHKERRQ(ierr);
    ierr = VecGetArrayRead(locGradLimiter,&gradlimiter);CHKERRQ(ierr);
    ierr = VecGetArray(F,&f);CHKERRQ(ierr);

    ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &fluxcon);CHKERRQ(ierr); // For the convection terms
    ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &fluxdiff);CHKERRQ(ierr); // For the diffusion terms
    ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &uL);CHKERRQ(ierr);
    ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &uR);CHKERRQ(ierr);// Please do not put the Malloc function into a for loop!!!!

    for (face=fStart; face<fEnd; face++) {
      fx[0] = uL; fx[1] = uR;

      ierr = DMPlexGetLabelValue(dm, "ghost", face, &ghost);CHKERRQ(ierr);
      if (ghost >= 0) continue;
      ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dmFace,face,facegeom,&fg);CHKERRQ(ierr);
      for (i=0; i<2; i++) {
        PetscScalar dx[DIM];
        ierr = DMPlexPointLocalRead(dmCell,cells[i],cellgeom,&cg[i]);CHKERRQ(ierr);
        ierr = DMPlexPointLocalRead(dm,cells[i],x,&cx[i]);CHKERRQ(ierr);
        ierr = DMPlexPointLocalRead(dmGrad,cells[i],gradlimiter,&cgradlimiter[i]);CHKERRQ(ierr);
        ierr = DMPlexPointLocalRead(dmGrad,cells[i],grad,&cgrad[i]);CHKERRQ(ierr);
        ierr = DMPlexPointGlobalRef(dm,cells[i],f,&cf[i]);CHKERRQ(ierr);
        Waxpy2(-1,cg[i]->centroid,fg->centroid,dx);
        for (j=0; j<dof; j++) {
          fx[i][j] = cx[i][j] + Dot2(cgradlimiter[i],dx);
        }
        // fx[0] and fx[1] are the value of the variables on the left and right
        //  side of the face, respectively, that is u_L and u_R.
      }

      ierr = RiemannSolver_Rusanov(user, cgrad[0], cgrad[1], fg->centroid, cg[0]->centroid, cg[1]->centroid, fg->normal, fx[0], fx[1], fluxcon, fluxdiff);CHKERRQ(ierr);

      ierr = DMPlexComputeCellGeometryFVM(dm, face, &FaceArea, NULL, NULL);CHKERRQ(ierr);
        // Compute the face area

      for (i=0; i<phys->dof; i++) {
        if (cf[0]) cf[0][i] -= FaceArea*(fluxcon[i] + fluxdiff[i])/cg[0]->volume;
        if (cf[1]) cf[1][i] += FaceArea*(fluxcon[i] + fluxdiff[i])/cg[1]->volume;
       // The flux on the interface, for the cell[0], it is an outcome flux and for the cell[1], it is
       //   an income flux.
      }
//      ierr = PetscPrintf(PETSC_COMM_WORLD,"\n");CHKERRQ(ierr);
    }
    ierr = VecRestoreArrayRead(locGrad,&grad);CHKERRQ(ierr);
    ierr = VecRestoreArrayRead(locGradLimiter,&gradlimiter);CHKERRQ(ierr);
    ierr = VecRestoreArray(F,&f);CHKERRQ(ierr);
    ierr = PetscFree(fluxcon);CHKERRQ(ierr);
    ierr = PetscFree(fluxdiff);CHKERRQ(ierr);
    ierr = PetscFree(uL);CHKERRQ(ierr);
    ierr = PetscFree(uR);CHKERRQ(ierr);
//    VecView(F,PETSC_VIEWER_STDOUT_WORLD);
  }
  ierr = VecRestoreArrayRead(user->facegeom,&facegeom);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(user->cellgeom,&cellgeom);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(locX,&x);CHKERRQ(ierr);
  ierr = DMRestoreLocalVector(dmGrad,&locGradLimiter);CHKERRQ(ierr);
  ierr = DMRestoreLocalVector(dmGrad,&locGrad);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}
コード例 #6
0
/*
 Use the first order upwind scheme to compute the flux
*/
PetscErrorCode CaculateLocalFunction_Upwind(DM dm,DM dmFace,DM dmCell,PetscReal time,Vec locX,Vec F,User user)
{
  Physics           phys = user->model->physics;
  DM                dmGrad = user->dmGrad;
  PetscErrorCode    ierr;
  const PetscScalar *facegeom, *cellgeom, *x;
  PetscScalar       *f;
  PetscInt          fStart, fEnd, face;

  Vec               locGrad, Grad;

  PetscFunctionBeginUser;
  ierr = VecGetArrayRead(user->facegeom, &facegeom);CHKERRQ(ierr);
  ierr = VecGetArrayRead(user->cellgeom, &cellgeom);CHKERRQ(ierr);
  ierr = VecGetArrayRead(locX, &x);CHKERRQ(ierr);
  ierr = VecGetArray(F, &f);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd);CHKERRQ(ierr);

  ierr = DMGetGlobalVector(dmGrad, &Grad);CHKERRQ(ierr);

  ierr = DMGetLocalVector(dmGrad, &locGrad);CHKERRQ(ierr);
  ierr = DMGlobalToLocalBegin(dmGrad, Grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);
  ierr = DMGlobalToLocalEnd(dmGrad, Grad, INSERT_VALUES, locGrad);CHKERRQ(ierr);

  ierr = DMRestoreGlobalVector(dmGrad, &Grad);CHKERRQ(ierr);

  const PetscScalar *grad;
  ierr = VecGetArrayRead(locGrad, &grad);CHKERRQ(ierr);

  {
    const PetscInt    *cells;
    PetscInt          i,ghost;
    PetscScalar       *fluxcon, *fluxdiff, *fL,*fR;
    const FaceGeom    *fg;
    const CellGeom    *cgL,*cgR;
    const PetscScalar *xL,*xR;
    const PetscScalar *cgrad[2];
    PetscReal         FaceArea;

    ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &fluxcon);CHKERRQ(ierr); /*For the convection terms*/
    ierr = PetscMalloc(phys->dof * sizeof(PetscScalar), &fluxdiff);CHKERRQ(ierr); /*For the diffusion terms*/

    for (face = fStart; face < fEnd; ++face) {
      ierr = DMPlexGetLabelValue(dm, "ghost", face, &ghost);CHKERRQ(ierr);
      if (ghost >= 0) continue;
      ierr = DMPlexGetSupport(dm, face, &cells);CHKERRQ(ierr);/*The support of a face is the cells (two cells)*/
      ierr = DMPlexPointLocalRead(dmFace, face, facegeom, &fg);CHKERRQ(ierr);/*Read the data from "facegeom" for the point "face"*/
      ierr = DMPlexPointLocalRead(dmCell, cells[0], cellgeom, &cgL);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dmCell, cells[1], cellgeom, &cgR);CHKERRQ(ierr);
/*
    PetscPrintf(PETSC_COMM_SELF, "face[%d]:(%f, %f, %f), cgL:(%f, %f, %f), cgR:(%f, %f, %f), fnorm:(%f, %f, %f)\n",
                 face, fg->centroid[0], fg->centroid[1], fg->centroid[2],
                 cgL->centroid[0], cgL->centroid[1], cgL->centroid[2], cgR->centroid[0], cgR->centroid[1], cgR->centroid[2],
                 fg->normal[0], fg->normal[1], fg->normal[2]);
*/
      ierr = DMPlexPointLocalRead(dm, cells[0], x, &xL);CHKERRQ(ierr); /*For the unkown variables*/
      ierr = DMPlexPointLocalRead(dm, cells[1], x, &xR);CHKERRQ(ierr);
      ierr = DMPlexPointGlobalRef(dm, cells[0], f, &fL);CHKERRQ(ierr); /*For the functions*/
      ierr = DMPlexPointGlobalRef(dm, cells[1], f, &fR);CHKERRQ(ierr);

      ierr = DMPlexPointLocalRead(dmGrad, cells[0], grad, &cgrad[0]);CHKERRQ(ierr);
      ierr = DMPlexPointLocalRead(dmGrad, cells[1], grad, &cgrad[1]);CHKERRQ(ierr);

      ierr = RiemannSolver_Rusanov(user, cgrad[0], cgrad[1], fg->centroid, cgL->centroid, cgR->centroid, fg->normal, xL, xR, fluxcon, fluxdiff);CHKERRQ(ierr);
    /*Caculate the flux*/
      ierr = DMPlexComputeCellGeometryFVM(dm, face, &FaceArea, NULL, NULL);CHKERRQ(ierr);
      //PetscPrintf(PETSC_COMM_SELF, "FaceArea=%f, Volume=%f\n",FaceArea,cgL->volume);
    /*Compute the face area*/
   // FaceArea = 0.0;
      for (i=0; i<phys->dof; i++) {
/*
      PetscPrintf(PETSC_COMM_SELF, "face[%d]:(%f, %f, %f), GradL[%d] = (%f, %f, %f), GradR[%d] = (%f, %f, %f), fluxcon[%d] = %f\n",
                                    face, fg->centroid[0], fg->centroid[1], fg->centroid[2],
                                    i, cgrad[0][DIM*i], cgrad[0][DIM*i + 1], cgrad[0][DIM*i + 2],
                                    i, cgrad[1][DIM*i], cgrad[1][DIM*i + 1], cgrad[1][DIM*i + 2], i, fluxcon[i]);
*/
        if (fL) {
           fL[i] -= FaceArea*(fluxcon[i] + fluxdiff[i])/cgL->volume;
      //    if (fL) PetscPrintf(PETSC_COMM_SELF, "x=%g, y=%g, z=%g,fluxcon[i]=%g, FaceArea=%g, volume=%g, fLc=%g, fL=%g\n",fg->centroid[0], fg->centroid[1], fg->centroid[2],fluxcon[i],FaceArea,cgL->volume,FaceArea*(fluxcon[i] + fluxdiff[i])/cgL->volume,fL[i]);
        }
        if (fR) fR[i] += FaceArea*(fluxcon[i] + fluxdiff[i])/cgR->volume;
      }

    }
    ierr = PetscFree(fluxcon);CHKERRQ(ierr);
    ierr = PetscFree(fluxdiff);CHKERRQ(ierr);
  }
//  VecView(F,PETSC_VIEWER_STDOUT_WORLD);
  ierr = VecRestoreArrayRead(locGrad,&grad);CHKERRQ(ierr);
  ierr = DMRestoreLocalVector(dmGrad,&locGrad);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(user->facegeom,&facegeom);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(user->cellgeom,&cellgeom);CHKERRQ(ierr);
  ierr = VecRestoreArrayRead(locX,&x);CHKERRQ(ierr);
  ierr = VecRestoreArray(F,&f);CHKERRQ(ierr);
  PetscFunctionReturn(0);
}
コード例 #7
0
/*
  Write all fields that have been provided to the viewer
  Multi-block XML format with binary appended data.
*/
PetscErrorCode DMPlexVTKWriteAll_VTU(DM dm,PetscViewer viewer)
{
  MPI_Comm                 comm;
  PetscViewer_VTK          *vtk = (PetscViewer_VTK*)viewer->data;
  PetscViewerVTKObjectLink link;
  FILE                     *fp;
  PetscMPIInt              rank,size,tag;
  PetscErrorCode           ierr;
  PetscInt                 dim,cellHeight,cStart,cEnd,vStart,vEnd,cMax,numLabelCells,hasLabel,c,v,r,i;
  PieceInfo                piece,*gpiece = NULL;
  void                     *buffer = NULL;

  PetscFunctionBegin;
  ierr = PetscObjectGetComm((PetscObject)dm,&comm);CHKERRQ(ierr);
#if defined(PETSC_USE_COMPLEX)
  SETERRQ(PetscObjectComm((PetscObject)dm),PETSC_ERR_SUP,"Complex values not supported");
#endif
  ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
  ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
  tag  = ((PetscObject)viewer)->tag;

  ierr = PetscFOpen(comm,vtk->filename,"wb",&fp);CHKERRQ(ierr);
  ierr = PetscFPrintf(comm,fp,"<?xml version=\"1.0\"?>\n");CHKERRQ(ierr);
#if defined(PETSC_WORDS_BIGENDIAN)
  ierr = PetscFPrintf(comm,fp,"<VTKFile type=\"UnstructuredGrid\" version=\"0.1\" byte_order=\"BigEndian\">\n");CHKERRQ(ierr);
#else
  ierr = PetscFPrintf(comm,fp,"<VTKFile type=\"UnstructuredGrid\" version=\"0.1\" byte_order=\"LittleEndian\">\n");CHKERRQ(ierr);
#endif
  ierr = PetscFPrintf(comm,fp,"  <UnstructuredGrid>\n");CHKERRQ(ierr);

  ierr = DMPlexGetDimension(dm, &dim);CHKERRQ(ierr);
  ierr = DMPlexGetVTKCellHeight(dm, &cellHeight);CHKERRQ(ierr);
  ierr = DMPlexGetHeightStratum(dm, cellHeight, &cStart, &cEnd);CHKERRQ(ierr);
  ierr = DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd);CHKERRQ(ierr);
  ierr = DMPlexGetHybridBounds(dm, &cMax, NULL, NULL, NULL);CHKERRQ(ierr);
  if (cMax >= 0) cEnd = PetscMin(cEnd, cMax);
  ierr = DMPlexGetStratumSize(dm, "vtk", 1, &numLabelCells);CHKERRQ(ierr);

  hasLabel        = numLabelCells > 0 ? PETSC_TRUE : PETSC_FALSE;
  piece.nvertices = vEnd - vStart;
  piece.ncells    = 0;
  piece.nconn     = 0;
  for (c = cStart; c < cEnd; ++c) {
    PetscInt *closure = NULL;
    PetscInt closureSize;

    if (hasLabel) {
      PetscInt value;

      ierr = DMPlexGetLabelValue(dm, "vtk", c, &value);CHKERRQ(ierr);
      if (value != 1) continue;
    }
    ierr = DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
    for (v = 0; v < closureSize*2; v += 2) {
      if ((closure[v] >= vStart) && (closure[v] < vEnd)) piece.nconn++;
    }
    ierr = DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &closureSize, &closure);CHKERRQ(ierr);
    piece.ncells++;
  }
  if (!rank) {ierr = PetscMalloc(size*sizeof(piece),&gpiece);CHKERRQ(ierr);}
  ierr = MPI_Gather((PetscInt*)&piece,sizeof(piece)/sizeof(PetscInt),MPIU_INT,(PetscInt*)gpiece,sizeof(piece)/sizeof(PetscInt),MPIU_INT,0,comm);CHKERRQ(ierr);

  /*
   * Write file header
   */
  if (!rank) {
    PetscInt boffset = 0;

    for (r=0; r<size; r++) {
      ierr = PetscFPrintf(PETSC_COMM_SELF,fp,"    <Piece NumberOfPoints=\"%D\" NumberOfCells=\"%D\">\n",gpiece[r].nvertices,gpiece[r].ncells);CHKERRQ(ierr);
      /* Coordinate positions */
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"      <Points>\n");CHKERRQ(ierr);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"        <DataArray type=\"%s\" Name=\"Position\" NumberOfComponents=\"3\" format=\"appended\" offset=\"%D\" />\n",precision,boffset);CHKERRQ(ierr);
      boffset += gpiece[r].nvertices*3*sizeof(PetscScalar) + sizeof(int);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"      </Points>\n");CHKERRQ(ierr);
      /* Cell connectivity */
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"      <Cells>\n");CHKERRQ(ierr);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"        <DataArray type=\"Int32\" Name=\"connectivity\" NumberOfComponents=\"1\" format=\"appended\" offset=\"%D\" />\n",boffset);CHKERRQ(ierr);
      boffset += gpiece[r].nconn*sizeof(PetscInt) + sizeof(int);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"        <DataArray type=\"Int32\" Name=\"offsets\"      NumberOfComponents=\"1\" format=\"appended\" offset=\"%D\" />\n",boffset);CHKERRQ(ierr);
      boffset += gpiece[r].ncells*sizeof(PetscInt) + sizeof(int);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"        <DataArray type=\"UInt8\" Name=\"types\"        NumberOfComponents=\"1\" format=\"appended\" offset=\"%D\" />\n",boffset);CHKERRQ(ierr);
      boffset += gpiece[r].ncells*sizeof(unsigned char) + sizeof(int);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"      </Cells>\n");CHKERRQ(ierr);

      /*
       * Cell Data headers
       */
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"      <CellData>\n");CHKERRQ(ierr);
      ierr     = PetscFPrintf(PETSC_COMM_SELF,fp,"        <DataArray type=\"Int32\" Name=\"Rank\" NumberOfComponents=\"1\" format=\"appended\" offset=\"%D\" />\n",boffset);CHKERRQ(ierr);
      boffset += gpiece[r].ncells*sizeof(int) + sizeof(int);
      /* all the vectors */
      for (link=vtk->link; link; link=link->next) {
        Vec        X = (Vec)link->vec;
        PetscInt   bs,nfields,field;
        const char *vecname = "";
        if ((link->ft != PETSC_VTK_CELL_FIELD) && (link->ft != PETSC_VTK_CELL_VECTOR_FIELD)) continue;
        if (((PetscObject)X)->name || link != vtk->link) { /* If the object is already named, use it. If it is past the first link, name it to disambiguate. */
          ierr = PetscObjectGetName((PetscObject)X,&vecname);CHKERRQ(ierr);
        }
        ierr = PetscSectionGetDof(dm->defaultSection,cStart,&bs);CHKERRQ(ierr);
        ierr = PetscSectionGetNumFields(dm->defaultSection,&nfields);CHKERRQ(ierr);
        for (field=0,i=0; field<(nfields?nfields:1); field++) {
          PetscInt   fbs,j;
          const char *fieldname = NULL;
          char       buf[256];
          if (nfields) {        /* We have user-defined fields/components */
            ierr = PetscSectionGetFieldDof(dm->defaultSection,cStart,field,&fbs);CHKERRQ(ierr);
            ierr = PetscSectionGetFieldName(dm->defaultSection,field,&fieldname);CHKERRQ(ierr);
          } else fbs = bs;      /* Say we have one field with 'bs' components */
          if (!fieldname) {
            ierr = PetscSNPrintf(buf,sizeof(buf),"CellField%D",field);CHKERRQ(ierr);
            fieldname = buf;
          }
          for (j=0; j<fbs; j++) {
            ierr = PetscFPrintf(comm,fp,"        <DataArray type=\"%s\" Name=\"%s%s.%D\" NumberOfComponents=\"1\" format=\"appended\" offset=\"%D\" />\n",precision,vecname,fieldname,j,boffset);CHKERRQ(ierr);
            boffset += gpiece[r].ncells*sizeof(PetscScalar) + sizeof(int);
            i++;
          }
        }
        if (i != bs) SETERRQ2(comm,PETSC_ERR_PLIB,"Total number of field components %D != block size %D",i,bs);
      }
      ierr = PetscFPrintf(PETSC_COMM_SELF,fp,"      </CellData>\n");CHKERRQ(ierr);

      /*
       * Point Data headers
       */
      ierr = PetscFPrintf(PETSC_COMM_SELF,fp,"      <PointData>\n");CHKERRQ(ierr);
      for (link=vtk->link; link; link=link->next) {
        Vec        X = (Vec)link->vec;
        PetscInt   bs,nfields,field;
        const char *vecname = "";
        if ((link->ft != PETSC_VTK_POINT_FIELD) && (link->ft != PETSC_VTK_POINT_VECTOR_FIELD)) continue;
        if (((PetscObject)X)->name || link != vtk->link) { /* If the object is already named, use it. If it is past the first link, name it to disambiguate. */
          ierr = PetscObjectGetName((PetscObject)X,&vecname);CHKERRQ(ierr);
        }
        ierr = PetscSectionGetDof(dm->defaultSection,vStart,&bs);CHKERRQ(ierr);
        ierr = PetscSectionGetNumFields(dm->defaultSection,&nfields);CHKERRQ(ierr);
        for (field=0,i=0; field<(nfields?nfields:1); field++) {
          PetscInt   fbs,j;
          const char *fieldname = NULL;
          char       buf[256];
          if (nfields) {        /* We have user-defined fields/components */
            ierr = PetscSectionGetFieldDof(dm->defaultSection,vStart,field,&fbs);CHKERRQ(ierr);
            ierr = PetscSectionGetFieldName(dm->defaultSection,field,&fieldname);CHKERRQ(ierr);
          } else fbs = bs;      /* Say we have one field with 'bs' components */
          if (!fieldname) {
            ierr = PetscSNPrintf(buf,sizeof(buf),"PointField%D",field);CHKERRQ(ierr);
            fieldname = buf;
          }
          for (j=0; j<fbs; j++) {
            ierr = PetscFPrintf(comm,fp,"        <DataArray type=\"%s\" Name=\"%s%s.%D\" NumberOfComponents=\"1\" format=\"appended\" offset=\"%D\" />\n",precision,vecname,fieldname,j,boffset);CHKERRQ(ierr);
            boffset += gpiece[r].nvertices*sizeof(PetscScalar) + sizeof(int);
          }
        }
      }
      ierr = PetscFPrintf(PETSC_COMM_SELF,fp,"      </PointData>\n");CHKERRQ(ierr);

      ierr = PetscFPrintf(PETSC_COMM_SELF,fp,"    </Piece>\n");CHKERRQ(ierr);
    }
  }

  ierr = PetscFPrintf(comm,fp,"  </UnstructuredGrid>\n");CHKERRQ(ierr);
  ierr = PetscFPrintf(comm,fp,"  <AppendedData encoding=\"raw\">\n");CHKERRQ(ierr);
  ierr = PetscFPrintf(comm,fp,"_");CHKERRQ(ierr);

  if (!rank) {
    PetscInt maxsize = 0;
    for (r=0; r<size; r++) {
      maxsize = PetscMax(maxsize, (PetscInt) (gpiece[r].nvertices*3*sizeof(PetscScalar)));
      maxsize = PetscMax(maxsize, (PetscInt) (gpiece[r].ncells*sizeof(PetscScalar)));
      maxsize = PetscMax(maxsize, (PetscInt) (gpiece[r].nconn*sizeof(PetscVTKInt)));
    }
    ierr = PetscMalloc(maxsize,&buffer);CHKERRQ(ierr);
  }
  for (r=0; r<size; r++) {
    if (r == rank) {
      PetscInt nsend;
      {                         /* Position */
        const PetscScalar *x;
        PetscScalar       *y = NULL;
        Vec               coords;
        nsend = piece.nvertices*3;
        ierr  = DMGetCoordinatesLocal(dm,&coords);CHKERRQ(ierr);
        ierr  = VecGetArrayRead(coords,&x);CHKERRQ(ierr);
        if (dim != 3) {
          ierr = PetscMalloc(piece.nvertices*3*sizeof(PetscScalar),&y);CHKERRQ(ierr);
          for (i=0; i<piece.nvertices; i++) {
            y[i*3+0] = x[i*dim+0];
            y[i*3+1] = (dim > 1) ? x[i*dim+1] : 0;
            y[i*3+2] = 0;
          }
        }
        ierr = TransferWrite(viewer,fp,r,0,y ? y : x,buffer,nsend,PETSC_SCALAR,tag);CHKERRQ(ierr);
        ierr = PetscFree(y);CHKERRQ(ierr);
        ierr = VecRestoreArrayRead(coords,&x);CHKERRQ(ierr);
      }
      {                           /* Connectivity, offsets, types */
        PetscVTKInt  *connectivity = NULL,*offsets;
        PetscVTKType *types;
        ierr = DMPlexGetVTKConnectivity(dm,&piece,&connectivity,&offsets,&types);CHKERRQ(ierr);
        ierr = TransferWrite(viewer,fp,r,0,connectivity,buffer,piece.nconn,PETSC_INT32,tag);CHKERRQ(ierr);
        ierr = TransferWrite(viewer,fp,r,0,offsets,buffer,piece.ncells,PETSC_INT32,tag);CHKERRQ(ierr);
        ierr = TransferWrite(viewer,fp,r,0,types,buffer,piece.ncells,PETSC_UINT8,tag);CHKERRQ(ierr);
        ierr = PetscFree3(connectivity,offsets,types);CHKERRQ(ierr);
      }
      {                         /* Owners (cell data) */
        PetscVTKInt *owners;
        ierr = PetscMalloc(piece.ncells*sizeof(PetscVTKInt),&owners);CHKERRQ(ierr);
        for (i=0; i<piece.ncells; i++) owners[i] = rank;
        ierr = TransferWrite(viewer,fp,r,0,owners,buffer,piece.ncells,PETSC_INT32,tag);CHKERRQ(ierr);
        ierr = PetscFree(owners);CHKERRQ(ierr);
      }
      /* Cell data */
      for (link=vtk->link; link; link=link->next) {
        Vec               X = (Vec)link->vec;
        const PetscScalar *x;
        PetscScalar       *y;
        PetscInt          bs;
        if ((link->ft != PETSC_VTK_CELL_FIELD) && (link->ft != PETSC_VTK_CELL_VECTOR_FIELD)) continue;
        ierr = PetscSectionGetDof(dm->defaultSection,cStart,&bs);CHKERRQ(ierr);
        ierr = VecGetArrayRead(X,&x);CHKERRQ(ierr);
        ierr = PetscMalloc(piece.ncells*sizeof(PetscScalar),&y);CHKERRQ(ierr);
        for (i=0; i<bs; i++) {
          PetscInt cnt;
          for (c=cStart,cnt=0; c<cEnd; c++) {
            const PetscScalar *xpoint;
            if (hasLabel) {     /* Ignore some cells */
              PetscInt value;
              ierr = DMPlexGetLabelValue(dm, "vtk", c, &value);CHKERRQ(ierr);
              if (value != 1) continue;
            }
            ierr     = DMPlexPointLocalRead(dm,c,x,&xpoint);CHKERRQ(ierr);
            y[cnt++] = xpoint[i];
          }
          if (cnt != piece.ncells) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Count does not match");
          ierr = TransferWrite(viewer,fp,r,0,y,buffer,piece.ncells,PETSC_SCALAR,tag);CHKERRQ(ierr);
        }
        ierr = PetscFree(y);CHKERRQ(ierr);
        ierr = VecRestoreArrayRead(X,&x);CHKERRQ(ierr);
      }

      for (link=vtk->link; link; link=link->next) {
        Vec               X = (Vec)link->vec;
        const PetscScalar *x;
        PetscScalar       *y;
        PetscInt          bs;
        if ((link->ft != PETSC_VTK_POINT_FIELD) && (link->ft != PETSC_VTK_POINT_VECTOR_FIELD)) continue;
        ierr = PetscSectionGetDof(dm->defaultSection,vStart,&bs);CHKERRQ(ierr);
        ierr = VecGetArrayRead(X,&x);CHKERRQ(ierr);
        ierr = PetscMalloc(piece.nvertices*sizeof(PetscScalar),&y);CHKERRQ(ierr);
        for (i=0; i<bs; i++) {
          PetscInt cnt;
          for (v=vStart,cnt=0; v<vEnd; v++) {
            const PetscScalar *xpoint;
            ierr     = DMPlexPointLocalRead(dm,v,x,&xpoint);CHKERRQ(ierr);
            y[cnt++] = xpoint[i];
          }
          if (cnt != piece.nvertices) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Count does not match");
          ierr = TransferWrite(viewer,fp,r,0,y,buffer,piece.nvertices,PETSC_SCALAR,tag);CHKERRQ(ierr);
        }
        ierr = PetscFree(y);CHKERRQ(ierr);
        ierr = VecRestoreArrayRead(X,&x);CHKERRQ(ierr);
      }
    } else if (!rank) {
      ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].nvertices*3,PETSC_SCALAR,tag);CHKERRQ(ierr); /* positions */
      ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].nconn,PETSC_INT32,tag);CHKERRQ(ierr); /* connectivity */
      ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].ncells,PETSC_INT32,tag);CHKERRQ(ierr); /* offsets */
      ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].ncells,PETSC_UINT8,tag);CHKERRQ(ierr); /* types */
      ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].ncells,PETSC_INT32,tag);CHKERRQ(ierr); /* owner rank (cells) */
      /* all cell data */
      for (link=vtk->link; link; link=link->next) {
        PetscInt bs;
        if ((link->ft != PETSC_VTK_CELL_FIELD) && (link->ft != PETSC_VTK_CELL_VECTOR_FIELD)) continue;
        ierr = PetscSectionGetDof(dm->defaultSection,cStart,&bs);CHKERRQ(ierr);
        for (i=0; i<bs; i++) {
          ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].ncells,PETSC_SCALAR,tag);CHKERRQ(ierr);
        }
      }
      /* all point data */
      for (link=vtk->link; link; link=link->next) {
        PetscInt bs;
        if ((link->ft != PETSC_VTK_POINT_FIELD) && (link->ft != PETSC_VTK_POINT_VECTOR_FIELD)) continue;
        ierr = PetscSectionGetDof(dm->defaultSection,vStart,&bs);CHKERRQ(ierr);
        for (i=0; i<bs; i++) {
          ierr = TransferWrite(viewer,fp,r,0,NULL,buffer,gpiece[r].nvertices,PETSC_SCALAR,tag);CHKERRQ(ierr);
        }
      }
    }
  }
  ierr = PetscFree(gpiece);CHKERRQ(ierr);
  ierr = PetscFree(buffer);CHKERRQ(ierr);
  ierr = PetscFPrintf(comm,fp,"\n  </AppendedData>\n");CHKERRQ(ierr);
  ierr = PetscFPrintf(comm,fp,"</VTKFile>\n");CHKERRQ(ierr);
  PetscFunctionReturn(0);
}