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Methods and Applications of Generalized Sheet Insertion for Hexahedral Meshing

Merkley, Karl, Corey Ernst, Jason F. Shepherd, and Michael J. Borden

Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.233-250, October 14-17 2007


16th International Meshing Roundtable
Seattle, Washington, U.S.A.
October 14-17, 2007

Computational Simulation Software, LLC., American Fork, UT
Elemental Technologies, Inc., American Fork, UT
Sandia National Laboratories, Albuquerque, NM
Sandia National Laboratories, Albuquerque, NM

This paper presents methods and applications of sheet insertion in a hexahedral mesh. A hexahedral sheet is dual to a layer of hexahedra in a hexahedral mesh. Because of symmetries within a hexahedral element, every hexahedral mesh can be viewed as a collection of these sheets. It is possible to insert new sheets into an existing mesh, and these new sheets can be used to define new mesh boundaries, refine the mesh, or in some cases can be used to improve quality in an existing mesh. Sheet insertion has a broad range of possible applications including mesh generation, boundary refinement, R-adaptivity and joining existing meshes. Examples of each of these applications are demonstrated.

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