四面体网格质量度量准则的研究

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。

Study on quality measures for tetrahedral mesh

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.