Adaptive physics based tetrahedral mesh generation using level sets

Unstructured Tetrahedral Mesh Generation Technology

The whole process of mesh generation is presented in detail. Advancing front technique (AFT) is proposed for 3D tetrahedral mesh generation [1]. AFT starts from initial front. Initial front is a boundary surface conformal triangulation. On each step a new tetrahedron is constructed and the front is updated. At this point local mesh size could be selected automatically in order to create quasi-u...

Parallel Tetrahedral Mesh Generation Based on A-priori Domain Decomposition

Tetrahedral Mesh Generation with Good Dihedral Angles Using Point Lattices

Tetrahedral Mesh Generation with Good Dihedral Angles Using Point Lattices by François Labelle Doctor of Philosophy in Computer Science University of California, Berkeley Professor Jonathan Shewchuk, Chair Three-dimensional meshes are frequently used to perform physical simulations in science and engineering. This involves decomposing a domain into a mesh of small elements, usually tetrahedra o...

Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations

The centroidal Voronoi tessellation based Delaunay triangulation (CVDT) provides an optimal distribution of generating points with respect to a given density function and accordingly generates a high-quality mesh. In this paper, we discuss algorithms for the construction of the constrained CVDT from an initial Delaunay tetrahedral mesh of a three-dimensional domain. By establishing an appropria...

Tetrahedral mesh generation based on space indicator functions

An algorithm for the generation of tetrahedral volume meshes is developed for highly irregular objects specified by volumetric representations such as domain indicator functions and tomography data. It is based on red–green refinement of an initial mesh derived from a body-centered cubic lattice. A quantitative comparison of alternative types of initial meshes is presented. The minimum set of b...