Example #1
0
    def cell_closure(self):
        """2D array of ordered cell closures

        Each row contains ordered cell entities for a cell, one row per cell.
        """
        plex = self._plex
        dim = plex.getDimension()

        # Cell numbering and global vertex numbering
        cell_numbering = self._cell_numbering
        vertex_numbering = self._vertex_numbering.createGlobalSection(plex.getPointSF())

        cell = self.ufl_cell()
        if cell.is_simplex():
            # Simplex mesh
            cStart, cEnd = plex.getHeightStratum(0)
            a_closure = plex.getTransitiveClosure(cStart)[0]

            entity_per_cell = np.zeros(dim + 1, dtype=np.int32)
            for dim in xrange(dim + 1):
                start, end = plex.getDepthStratum(dim)
                entity_per_cell[dim] = sum(map(lambda idx: start <= idx < end,
                                               a_closure))

            return dmplex.closure_ordering(plex, vertex_numbering,
                                           cell_numbering, entity_per_cell)

        elif cell.cellname() == "quadrilateral":
            from firedrake.citations import Citations
            Citations().register("Homolya2016")
            Citations().register("McRae2014")
            # Quadrilateral mesh
            cell_ranks = dmplex.get_cell_remote_ranks(plex)

            facet_orientations = dmplex.quadrilateral_facet_orientations(
                plex, vertex_numbering, cell_ranks)

            cell_orientations = dmplex.orientations_facet2cell(
                plex, vertex_numbering, cell_ranks,
                facet_orientations, cell_numbering)

            dmplex.exchange_cell_orientations(plex,
                                              cell_numbering,
                                              cell_orientations)

            return dmplex.quadrilateral_closure_ordering(
                plex, vertex_numbering, cell_numbering, cell_orientations)

        else:
            raise NotImplementedError("Cell type '%s' not supported." % cell)
Example #2
0
    def cell_closure(self):
        """2D array of ordered cell closures

        Each row contains ordered cell entities for a cell, one row per cell.
        """
        plex = self._plex
        topological_dim = plex.getDimension()

        # Cell numbering and global vertex numbering
        cell_numbering = self._cell_numbering
        vertex_numbering = self._vertex_numbering.createGlobalSection(
            plex.getPointSF())

        cStart, cEnd = plex.getHeightStratum(0)  # cells
        cell_facets = plex.getConeSize(cStart)

        if topological_dim + 1 == cell_facets:
            # Simplex mesh
            a_closure = plex.getTransitiveClosure(cStart)[0]

            entity_per_cell = np.zeros(topological_dim + 1, dtype=np.int32)
            for dim in xrange(topological_dim + 1):
                start, end = plex.getDepthStratum(dim)
                entity_per_cell[dim] = sum(
                    map(lambda idx: start <= idx < end, a_closure))

            return dmplex.closure_ordering(plex, vertex_numbering,
                                           cell_numbering, entity_per_cell)

        elif topological_dim == 2 and cell_facets == 4:
            # Quadrilateral mesh
            cell_ranks = dmplex.get_cell_remote_ranks(plex)

            facet_orientations = dmplex.quadrilateral_facet_orientations(
                plex, vertex_numbering, cell_ranks)

            cell_orientations = dmplex.orientations_facet2cell(
                plex, vertex_numbering, cell_ranks, facet_orientations,
                cell_numbering)

            dmplex.exchange_cell_orientations(plex, cell_numbering,
                                              cell_orientations)

            return dmplex.quadrilateral_closure_ordering(
                plex, vertex_numbering, cell_numbering, cell_orientations)

        else:
            raise RuntimeError(
                "Unsupported mesh: neither simplex, nor quadrilateral.")
Example #3
0
    def cell_closure(self):
        """2D array of ordered cell closures

        Each row contains ordered cell entities for a cell, one row per cell.
        """
        plex = self._plex
        topological_dim = plex.getDimension()

        # Cell numbering and global vertex numbering
        cell_numbering = self._cell_numbering
        vertex_numbering = self._vertex_numbering.createGlobalSection(plex.getPointSF())

        cStart, cEnd = plex.getHeightStratum(0)  # cells
        cell_facets = plex.getConeSize(cStart)

        if topological_dim + 1 == cell_facets:
            # Simplex mesh
            a_closure = plex.getTransitiveClosure(cStart)[0]

            entity_per_cell = np.zeros(topological_dim + 1, dtype=np.int32)
            for dim in xrange(topological_dim + 1):
                start, end = plex.getDepthStratum(dim)
                entity_per_cell[dim] = sum(map(lambda idx: start <= idx < end,
                                               a_closure))

            return dmplex.closure_ordering(plex, vertex_numbering,
                                           cell_numbering, entity_per_cell)

        elif topological_dim == 2 and cell_facets == 4:
            # Quadrilateral mesh
            cell_ranks = dmplex.get_cell_remote_ranks(plex)

            facet_orientations = dmplex.quadrilateral_facet_orientations(
                plex, vertex_numbering, cell_ranks)

            cell_orientations = dmplex.orientations_facet2cell(
                plex, vertex_numbering, cell_ranks,
                facet_orientations, cell_numbering)

            dmplex.exchange_cell_orientations(plex,
                                              cell_numbering,
                                              cell_orientations)

            return dmplex.quadrilateral_closure_ordering(
                plex, vertex_numbering, cell_numbering, cell_orientations)

        else:
            raise RuntimeError("Unsupported mesh: neither simplex, nor quadrilateral.")