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An Automatic Generation of Quadrilateral Mesh for Finite Element - paving

MA Shu-yao

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Quadrilateral, Finite element method, Boundary (topology), Mesh generation, Computer science, T-vertices, Point (geometry), Triangle mesh

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