期刊文献+

四面体网格质量度量准则的研究 被引量:16

Study on quality measures for tetrahedral mesh
在线阅读 下载PDF
导出
摘要 简要回顾了度量四面体单元质量的几个常用准则。长期以来 ,这些准则被认为在一定意义下是相互等价的。数值试验表明 ,对单元形状的变化用不同的准则度量有可能产生矛盾的评判结果 ,从而影响到网格质量优化的进程和结果。因此在进行网格剖分或网格优化时 ,应对所采用的度量准则做仔细的研究和测试。 Several used measures for the tetrahedral element quality are briefly reviewed. These quality measures are considered to be equivalent in some weak sense over a long period of time. However, the numerical tests in this paper indicate that using different measures to evaluate the change of element shape will probably lead to inconsistent result sometimes, therefore, that effect on the mesh optimization procedure and optimal solution. For this reason, careful study and test on quality measures applied should be performed in the mesh generation and mesh optimization.
出处 《计算力学学报》 CAS CSCD 北大核心 2003年第5期579-582,共4页 Chinese Journal of Computational Mechanics
基金 国家教育部留学回国人员科研启动金资助项目
关键词 四面体网格 单元质量 度量准则 网格优化 网格剖分 有限元分析 tetrahedral mesh element quality measure mesh optimization
  • 相关文献

参考文献12

  • 1王皓,韦翔华,唐国安.有限单元畸变度计算方法[J].计算机辅助设计与图形学学报,2000,12(3):179-183. 被引量:4
  • 2Joe B. Construction of 3-dimensional improved-quality triangulations using local transformations [J]. SIAM J Sci Comput,1995,16(6):1292-1307.
  • 3Zavattieri P D, Dari E A, Buscaglia G C. Optimization strategies in unstructured mesh generation[J]. lnt J Numer Meth Engng, 1996,39 (12 ) : 2055-2071.
  • 4Freitag L A, Ollivier-Gooch C. Tetrahedral mesh improvement using swapping and smoothing[J], Int J Numer Meth Engng, 1997,40(21 ) : 3979-4002.
  • 5Lo S H. Optimization of tetrahedral meshes based on element shape measures [J]. Computers Structures, 1997,63(5): 951-961.
  • 6Freitag L A, Plassmann P. Local optimization-based simplicial mesh untangling and improvement[J].Int J Numer Meth Engng,2000,49(1-2) : 109-125.
  • 7Freitag L A, Ollivier-Gooch C. A cost/benefit analysis of simplicial mesh improvement techniques as measured by solution efficiency[J], Int J Comput Geom App, 2000,10 (4): 361-382.
  • 8Cavendish J C, Field D A, Frey W H. An approach to automatic three-dimensional finite element mesh generation [J]. lnt J Numer Meth Engng, 1985,21 :329-347.
  • 9Liu A, Joe B. Relationship between tetrahedron shape measures [J]. BIT, 1994,34 : 268-287.
  • 10Joe B. Delaunay versus max min solid angle trian-gulations for 3-dimensional mesh generation[J]. IntJ Numer Meth Engng, 1991,31 (5) : 987-997.

二级参考文献3

共引文献3

同被引文献119

引证文献16

二级引证文献108

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部