Adaptive polyhedra mesh refinement and coarsening

Abstract

Systems and methods are provided for the refining and coarsening of a polyhedra mesh. The refinement includes identifying a plurality of polyhedral cells within a polyhedra mesh. A plurality of parent faces having a plurality of parent face edges are extracted for each polyhedral cell within the polyhedra mesh. For each parent face, a plurality of nodes are defined and connected either isotropically or anisotropically. A plurality of non-overlapping child faces are generated with a perimeter defined by a combination of parent face edges and child face edges. A plurality of child cells are generated from the connection of child faces of the plurality of non-overlapping child faces. Subsequent coarsening of the plurality of child cells occurs by the simultaneous agglomeration into each respective parent cell.