Abstract
The aim of this investigation is the proposal of new automatic mesh generation method for 3-dimensional convex domain. The strategy is based on the Voronoi tesselation, and the dual relation between the Voronoi tesselation and the Delaunay triangulation is used to decompose arbitrary 3-D convex domain into tetrahedra with optimum geometrical configuration. Proposed method is directly applied to the mesh generation method for 3-D finite element analysis. This paper discusses the mathematical background of the mesh generation method, the design of the automatic mesh generation, the details of the mesh generation procedure, and the results of numerical examples. At present the method can be applied only for 3-D convex domain.
