The All-Hex Geode-Template for Conforming a Diced Tetrahedral Mesh to any Diced Hexahedral Mesh (original) (raw)

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Abstract.

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 of 26 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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Authors and Affiliations

  1. Parallel Computing Sciences Department, Sandia National Laboratory, Albuquerque, NM, USA, , , , , , US
    S. A. Mitchell

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  1. S. A. Mitchell
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Mitchell, S. The All-Hex Geode-Template for Conforming a Diced Tetrahedral Mesh to any Diced Hexahedral Mesh.Engineering with Computers 15, 228–235 (1999). https://doi.org/10.1007/s003660050018

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