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Lattice Cleaving: Conforming Tetrahedral Meshes of Multimaterial Domains with Bounded Quality

Bronson, Jonathan R., Joshua A. Levine, and Ross T. Whitaker

21st International Meshing Roundtable, Springer-Verlag, pp.191-209, October 7-10 2012

IMR
PROCEEDINGS

21st International Meshing Roundtable
San Jose, CA
October 7-10,2012

Scientific Computing and Imaging Institute, Salt Lake City, UT, U.S.A.
Email: bronson@sci.utah.edu

Summary
We introduce a new algorithm for generating tetrahedral meshes that conform to physical boundaries in volumetric domains consisting of multiple materials. The proposed method allows for an arbitrary number of materials, produces high-quality tetrahedral meshes with upper and lower bounds on dihedral angles, and guarantees geometric delity. Moreover, the method is combinatoric so its implementation enables rapid mesh construction. These meshes are structured in a way that also allows grading, in order to reduce element counts in regions of homogeneity.

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