Tetrahedral mesh quality improvement algorithm for removing convex small features on surface
Received:September 20, 2023  Revised:November 09, 2023
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DOI:10.7511/jslx20230920001
KeyWord:small features removal  tetrahedral mesh  mesh quality improvement  mesh topology  edge split
           
AuthorInstitution
付营建 大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连
关振群 大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连
曹杰 南华大学 数理学院, 衡阳
赵国忠 大连理工大学 工程力学系 工业装备结构分析优化与CAE软件全国重点实验室, 大连
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Abstract:
      To solve the problem that it is difficult for existing tetrahedral mesh quality improvement algorithms are difficult to improve the quality of elements in convex small-feature regions on a surface,this paper proposes a tetrahedral mesh quality improvement algorithm based on improved optimization operators for removing convex small-features.Firstly,in order to construct short edges in the direction of the feature scale,new nodes are inserted into meshes in convex small feature regions by using edge split.Then,the short edges are merged by using node merge,and the reduced volume merging criterion is proposed to determine the direction of node merge.To avoid wrong tetrahedrons that may occur in the merging process,a solution to adjust the node position by dichotomy is given.After the node merge,a new mesh topology is formed so that the mesh no longer covers the convex small feature regions,which achieves the purpose of removing convex small features on a surface and improving the quality of meshes.Finally,several typical examples of mesh quality improvement with convex small features on a surface demonstrate that the proposed algorithm is effective.