Abstract
AbstractThree‐dimensional (3‐D) finite element mesh generation has been the target of automation due to the complexities associated with generating and visualizing the mesh. A fully automatic 3‐D mesh generation method is developed. The method is capable of meshing CSG solid models. It is based on modifying the classical ray‐casting technique to meet the requirements of mesh generation. The modifications include the utilization of the element size in the casting process, the utilization of 3‐D space box enclosures, and the casting of ray segments (rays with finite length). The method begins by casting ray segments into the solid. Based on the intersections between the segments and the solid boundary, the solid is discretized into cells arranged in a structure. The cell structure stores neighbourhood relations between its cells. Each cell is meshed with valid finite elements. Mesh continuity between cells is achieved via the neighbourhood relations. The last step is to process the boundary elements to represent closely the boundary. The method has been tested and applied to a number of solid models. Sample examples are presented.
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