有限元网格自动生成中的网格加密新方法

New Mesh Refinement for Fully Automatic Adaptive Mesh Generation in Computation with FEM

提出了一种新的网格加密方法．给出了网格密度控制的有关参数的具体定义，这些参数一般附着在目标Ｂ－ｒｅｐｓ表述中的拓扑要素上．说明了在网格加密过程中处理边界曲线离散、区域内布点及点插入等问题时所采用的有关方法，所给出的实例表明了所提出的网格加密方法的性能．

A new mesh refining algorithm is presented. The definitions of some mesh control parameters are given and these parameters are usually adhered to the topological elements in the B-reps of the object. The schemes adopted for dealing with the descretization of boundary line segments, generation of interior points and insertion of points are described. Several graphic examples are given to show the performance of the algorithm. As an important part of a geometry-based, fast, effective, automatic and adaptive mesh generating scheme proposed by the authors, the mesh refining algorithm allows the specification of both a priori and a posteriori mesh density control information, and meshes with different density gradients can be easily generated. The size of whole mesh can be approximately controlled in advance and the refined mesh generated is of high quality and with elements of uniformly varied density.