Delaunay meshing applications

摘要

We present concepts and results from the implementation of a free, universal and self-adaptive mesher. The interface with a CAD software and a finite elements solver enables the integration of different calculation steps : geometry definition, meshing, optimization... Thus the designer can integrate both geometry and behavior of the studied part. Based on a unique core able to mesh 2D, 2.SD and 3D objects, the mesher generates Delaunay meshes, integrating frontiers respect and local and global refinements. These refinements are computed after a finite elements calculus, in regard of the results of the solver. This allows us to mesh composites objects (multi-layers by example), variable geometry objects (objects time variations by example), without computing again the whole mesh. Multi-dimensional objects (i.e. object with different dimension components) are also meshed, and we use a new method based on different features of the mesher to compute this. The optimization is also a feature of the mesher, taking into account coast efficiency, mechanical or thermical constraints distribution and shape optimization by adding or removing material, during the design of the part.