Tetrahedral mesh optimization method combining sliver decomposition and Laplacian smoothing
  Revised:April 11, 2005
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DOI:10.7511/jslx20073051
KeyWord:Laplacian smoothing,sliver decomposition,tetrahedral elements,mesh optimization
GUAN Zhen-qun  LIU Bang-zhi  GU Yuan-xian  YU Wen-hui
State Key Laboratory of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
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Abstract:
      To meet the requirements of finite element analysis on the mesh quality,an effective mesh optimization method is presented in this paper to improve the quality of tetrahedral mesh.The sliver decomposition method is extended to deal with all kinds of isolated poor-quality tetrahedral elements generated by various meshing method for three-dimensional solids.A new mesh smoothing method combining the extended sliver decomposition method and the Laplacian smoothing method is proposed to solve the problem of clustering poor-quality elements frequently occurred in some mesh generation algorithms such as Advancing Front Technique(AFT) and Delaunay Triangulation.Computational experiments show that the method proposed is robust,efficient and easily implemented in practical applications,the quality of the worst elements is improved noticeably.