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Frame Field Guided Topological Improvement for Hex Mesh using Sheet Operation

Wang, Rui, Shuming Gao, Zhihao Zheng, Jinming Chen

Proceedings, 25th International Meshing Roundtable, Elsevier, Science Direct, September 26-30 2016

INTERNATIONAL
MESHING
ROUNTABLE

25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016

Rui Wang, State Key Lab of CAD&CG, Zhejiang University, CN, wang_rui@zju.edu.cn
Shuming Gao, State Key Lab of CAD&CG, Zhejiang University, CN, smgao@cad.zju.edu.cn
Zhihao Zheng, State Key Lab of CAD&CG, Zhejiang University, CN,
Jinming Chen, State Key Lab of CAD&CG, Zhejiang University, CN,

Abstract
High-quality hex meshes are crucial for finite element analysis. However, the quality of the hex mesh improved by geometric smoothing cannot guarantee to satisfy the requirement of finite element analysis. To this end, the paper puts forward an approach to topological optimization of the hex mesh based on frame field and sheet operation, which improves the worst quality of the hex mesh by optimizing its topology structure. The approach first builds an initial frame field on the input hex mesh and optimizes it to obtain the high-quality frame field. Then, the problematic sheet that leads to the poor quality of the hex mesh is determined according to the initial and optimized frame fields. Finally, the structure of problematic sheet is adjusted based on high-quality frame field and sheet operation. Experimental results demonstrate that our topological optimization algorithm can effectively improve the minimal Jacobian value of the hex mesh.

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