Anisotropic tetrahedral meshing via bubble packing and advancing front

摘要

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.