MeshPtr MeshTools::timeSliceMesh(MeshPtr spaceTimeMesh, double t, map<GlobalIndexType, GlobalIndexType> &sliceCellIDToSpaceTimeCellID, int H1OrderForSlice) { MeshTopologyPtr meshTopo = spaceTimeMesh->getTopology(); set<IndexType> cellIDsToCheck = meshTopo->getRootCellIndices(); set<IndexType> activeCellIDsForTime; set<IndexType> allActiveCellIDs = meshTopo->getActiveCellIndices(); int spaceDim = meshTopo->getSpaceDim() - 1; // # of true spatial dimensions MeshTopologyPtr sliceTopo = Teuchos::rcp( new MeshTopology(spaceDim) ); set<IndexType> rootCellIDs = meshTopo->getRootCellIndices(); for (set<IndexType>::iterator rootCellIt = rootCellIDs.begin(); rootCellIt != rootCellIDs.end(); rootCellIt++) { IndexType rootCellID = *rootCellIt; FieldContainer<double> physicalNodes = spaceTimeMesh->physicalCellNodesForCell(rootCellID); if (cellMatches(physicalNodes, t)) { // cell and some subset of its descendents should be included in slice mesh vector< vector< double > > sliceNodes = timeSliceForCell(physicalNodes, t); CellTopoPtrLegacy cellTopo = getBottomTopology(meshTopo, rootCellID); CellPtr sliceCell = sliceTopo->addCell(cellTopo, sliceNodes); sliceCellIDToSpaceTimeCellID[sliceCell->cellIndex()] = rootCellID; } } MeshPtr sliceMesh = Teuchos::rcp( new Mesh(sliceTopo, spaceTimeMesh->bilinearForm(), H1OrderForSlice, spaceDim) ); // process refinements. For now, we assume isotropic refinements, which means that each refinement in spacetime induces a refinement in the spatial slice set<IndexType> sliceCellIDsToCheckForRefinement = sliceTopo->getActiveCellIndices(); while (sliceCellIDsToCheckForRefinement.size() > 0) { set<IndexType>::iterator cellIt = sliceCellIDsToCheckForRefinement.begin(); IndexType sliceCellID = *cellIt; sliceCellIDsToCheckForRefinement.erase(cellIt); CellPtr sliceCell = sliceTopo->getCell(sliceCellID); CellPtr spaceTimeCell = meshTopo->getCell(sliceCellIDToSpaceTimeCellID[sliceCellID]); if (spaceTimeCell->isParent()) { set<GlobalIndexType> cellsToRefine; cellsToRefine.insert(sliceCellID); sliceMesh->hRefine(cellsToRefine, RefinementPattern::regularRefinementPattern(sliceCell->topology()->getKey())); vector<IndexType> spaceTimeChildren = spaceTimeCell->getChildIndices(); for (int childOrdinal=0; childOrdinal<spaceTimeChildren.size(); childOrdinal++) { IndexType childID = spaceTimeChildren[childOrdinal]; FieldContainer<double> childNodes = meshTopo->physicalCellNodesForCell(childID); if (cellMatches(childNodes, t)) { vector< vector<double> > childSlice = timeSliceForCell(childNodes, t); CellPtr childSliceCell = sliceTopo->findCellWithVertices(childSlice); sliceCellIDToSpaceTimeCellID[childSliceCell->cellIndex()] = childID; sliceCellIDsToCheckForRefinement.insert(childSliceCell->cellIndex()); } } } } return sliceMesh; }
CellTopoPtrLegacy getBottomTopology(MeshTopologyPtr meshTopo, IndexType cellID) { int spaceDim = meshTopo->getSpaceDim() - 1; // determine cell topology: vector<IndexType> cellVertexIndices = meshTopo->getCell(cellID)->vertices(); set<IndexType> bottomVertexIndices; int bottomNodeCount = cellVertexIndices.size() / 2; for (int i=0; i<bottomNodeCount; i++) { bottomVertexIndices.insert(cellVertexIndices[i]); } IndexType bottomEntityIndex = meshTopo->getEntityIndex(spaceDim, bottomVertexIndices); unsigned bottomCellTopoKey = meshTopo->getEntityTopology(spaceDim, bottomEntityIndex).getKey(); CellTopoPtrLegacy cellTopo = CamelliaCellTools::cellTopoForKey(bottomCellTopoKey); return cellTopo; }