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Delaunay Tetrahedralization using an Advancing-Front Approach

Frey, Pascal J., Houman Borouchaki and Paul-Louis George

5th International Meshing Roundtable, Sandia National Laboratories, pp.31-46, October 1996

INTERNATIONAL
MESHING
ROUNTABLE

Abstract
This paper presents a procedure for efficient generation of three-dimensional unstructured meshes of tetrahedral elements. Initially, a constrained Delaunay mesh is generated wherein internal points are created using advancing-front point placement and are inserted using a Delaunay method. The overall procedure is applied repetitively until the mesh satisfies a desired element size distribution function. The algorithm combines the advantages of efficiency and nice mathematical properties of a Delaunay approach with advancing-front high-quality point placement strategy. Mesh quality and statistics are presented for a variety of three-dimensional examples. The proposed method can be extended to isotropic or anisotropic adaptive mesh generation.

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