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Anisotropic tetrahedral meshing via bubble packing and advancing front
Author(s) -
Yamakawa Soji,
Shimada Kenji
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.750
Subject(s) - tetrahedron , anisotropy , domain (mathematical analysis) , bubble , tensor (intrinsic definition) , ellipsoid , transformation (genetics) , planar , geometry , mesh generation , front (military) , topology (electrical circuits) , computational science , computer science , materials science , mathematics , finite element method , physics , mechanics , mathematical analysis , engineering , mechanical engineering , combinatorics , computer graphics (images) , structural engineering , chemistry , optics , biochemistry , astronomy , gene
This paper presents a new computational method for anisotropic tetrahedral meshing. The method can control element anisotropy based on a specified 3×3 tensor field defined over a volumetric domain. Our method creates a tetrahedral mesh in two steps: (1) placing nodes at the centres of tightly packed ellipsoidal cells, called bubbles, in the domain, and (2) connecting the nodes by a modified advancing front followed by local transformation. The method creates a high‐quality anisotropic mesh that conforms well to a specified tensor field. Copyright © 2003 John Wiley & Sons, Ltd.