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In performing finite element (FE) analysis for an engineered design, a symmetric model is usually reduced to a symmetry cell, a minimal part of the model from which the whole model can be restored from its symmetry pattern. The mesh of the symmetry cell is then generated separately after the cell extraction. Exploitation of such symmetry properties helps reduce the computational complexity of downstream tasks of mesh generation and engineering analysis, and saves memory usage. However, due to the separation of the symmetry cell extraction and the mesh generation, the mesh generated following such a procedure is usually not optimal in the sense that their element number is not minimal at certain quality requirements, and thus is not very computationally efficient. In order to resolve this issue, a novel approach is proposed in this paper to construct an optimal symmetry cell mesh (in its mesh element number) for a rotationally symmetric CAD model. The optimality is mainly achieved by simultaneously extracting the symmetry cell and generating its associated mesh form using an approach of symmetry-constrained local Delaunay refinement. In such way, the global symmetry information of the whole model is maximally used for mesh quality, and the mesh is only generated for the symmetry cell, instead of the whole model, and thus is very efficient. ? 2013 ? 2013 CAD Solutions, LLC.

Optimal Rotational Symmetry Cell Mesh Construction for FE Analysis by Symmetry-constrained Local Delaunay Refinement