一种全四边形的网格自动生成方法-铺砌法

An Automatic Generation of Quadrilateral Mesh for Finite Element - paving

给出了一种基于铺砌法的全四边形有限元网格自动生成方法，并用面向对象的 Ｃ＋＋语言编制了相应的程序．只要输入少量的边界特征点信息，程序即可自动生成高质量的区域四边形单元网格．这种方法对不规则区域适应能力强，具有良好的边界单元质量（接近正方形）．同时还提出了网格质量改进方法，使之能够满足较高的有限元精度分析的要求．该方法可应用于各种实用的有限元软件中．最后，给出了３个算例．

The present arithmetic of automatic mesh generation mostly generates triangular mash, scantly generating quadrilateral mesh. Comparison with triangular mesh, quadrilateral mesh can get high calculating precision and less amount of mesh. Although mapping method can generate quadrilateral mesh, It has low automation. In this paper, a new automatically quadrilateral mesh generating method is given, and an object-oriented C++ design is programmed. Only inputted few information of boundary characteristic point, the program can automatically generate good quadrilateral mesh. The method is special applicable to irregular domain and can get good element on the geometry boundary (mostly square). Mesh enhancing method is provided. Such making it meet high requirement. This method can be used in FEM software. In the end, three examples are given.