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2019 | OriginalPaper | Buchkapitel

Terminal Star Operations Algorithm for Tetrahedral Mesh Improvement

verfasst von : Fernando Balboa, Pedro Rodriguez-Moreno, María-Cecilia Rivara

Erschienen in: 27th International Meshing Roundtable

Verlag: Springer International Publishing

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Abstract

We discuss an innovative, simple and effective Lepp terminal-star algorithm for improving tetrahedral meshes. For each bad quality tetrahedron, one branch of the longest edge propagating path (Lepp) is followed to find an associated terminal star, which is a set of tetrahedra that share a common longest edge (terminal edge). Three alternative improvement mesh operations are considered: simple insertion of the centroid Q of the terminal star, or swapping of the terminal edge, or longest edge bisection. The operation that most improves the mesh is performed whenever significant improvement is achieved. Empirical study shows that, using the dihedral angle quality measure, this simple procedure reduces the bad quality tetrahedra by at least a tenth, with low time cost.

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Metadaten
Titel
Terminal Star Operations Algorithm for Tetrahedral Mesh Improvement
verfasst von
Fernando Balboa
Pedro Rodriguez-Moreno
María-Cecilia Rivara
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-030-13992-6_15