International Journal for Numerical Methods in Engineering · 2003 · 41 citations · 10 references
ComputingComputational EngineeringComputational GeometryFinite Element AnalysisFinite Element MethodsAnisotropic MaterialsFinite Element FormulationGeometry ProcessingMesh GenerationMesh ModelingMesh ProcessingAnisotropic MeshingAnisotropyFinite Element Mesh GenerationTensor Field ModelingTetrahedral ElementsTetrahedral Mesh GenerationTetrahedral MeshingVolumetric Meshes
Abstract 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.
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