The All-Hex Geode-Template for Conforming a Diced Tetrahedral Mesh to any Diced Hexahedral Mesh
Mitchell, Scott A.
Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.295-305, October 1998
7th International Meshing Roundtable
October 26-28, 1998
Dearborn, Michigan, USA
Parallel Computing Sciences Dept.,
Sandia National Laboratories,
Albuquerque, NM 87185.
Take a hexahedral mesh and an adjoining tetrahedral mesh that splits
each boundary quadrilateral into two triangles. Separate the meshes
with a buffer layer of hexes. Dice the original hexes into eight, and
the tetrahedra into four hexahedra. Then I show that the buffer layer
hexes can be filled with the geode-template, creating a conforming all-
hex mesh of the entire model. The geode-template is composed of26
hexahedra. The hexahedra have acceptable quality, depending on the
geometry of the buffer layer. The method used to generate the geode-
template is general, based on interleaving completed dual surfaces, and
might be extended to other transition problems.
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