2D Mesh smoothing based on Markov chain method

被引：0
作者：
Fan Yang
Dujiang Zhang
Hu Ren
JinXiu Xu
机构：
[1] Nanjing University of Aeronautics and Astronautics,State Key Laboratory of Mechanics and Control of Mechanical Structures
[2] Nanjing University of Aeronautics and Astronautics,College of Aerospace Engineering
[3] Xi’an Jiaotong University,State Key Laboratory for Strength and Vibration of Mechanical Structures
[4] Wuxi Hengding Supercomputing Center Ltd,undefined
来源：
Engineering with Computers | 2020年 / 36卷
关键词：
Mesh quality; Laplacian smoothing; Optimization-based smoothing; Markov chain; Stochastic process;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The mesh quality is of vital importance to obtain the numerical results precisely. Poorly shaped or distorted elements can be produced by automatic mesh generation tools. In this article, the mesh smoothing algorithm based on the Markov chain Monte Carlo method is proposed to improve the quality of the mesh. The movement of nodes position is converted to a stochastic process to seek the best position for the element quality. Compared with the widely known Laplacian smoothing and optimization-based smoothing techniques, the mesh quality by the proposed method is found better than these methods. Examples are performed to illustrate the applicability of the approach. The numerical results show that the proposed algorithm is effective and valuable.
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页码：1615 / 1626
页数：11
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