Mesh generation plays an important role in the finite element method. In hydraulic structures and rock foundation, due to the existence of holes and thin layer structure, such as the galleries, seepage control system, weak seams, joints, and so on, the meshes generation is usually pretty difficult, the poor quality elements, or even illegal elements will be produced inevitably in the process, which causes the results of numerical analysis to be biased or even wrong. At present, the technology of automatic generation of 2D meshes is mature, but when some special areas are encountered, problems such as abnormal interruptions often occur. In this paper, based on the advance front method, the quadrilateral automatic mesh generation algorithm, aiming at the mesh of the thin structures containing the horizontal and vertical edges in hydraulic structures and its bedrock, as well as other complex boundaries, is researched to improve the robustness of automatic mesh generation of complex area, this research is of great significance to the popularization and application of the finite element method in hydraulic engineering. The improved automatic mesh generation algorithm is successfully applied to the seepage analysis case of earth-rock dam, which verify the feasibility, robustness and rationality of the improved method proposed in this paper.
XU Qing, XI Peng-fei.
The method improvement of quadrilateral mesh automatic generation and engineering application[J].China Rural Water and Hydropower, 2018(9): 182-186
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参考文献
[1] 古成中, 吴新跃. 有限元网格划分及发展趋势[J]. 计算机科学与探索. 2008(03): 248-259 [2] Brown P R. A non- interactive method for the automatic generation of finite element meshes using the Schwarz-Christoffel transformation[J]. Computer Methods in Applied Mechanics and Engineering, 1981, 25(1) : 101- 126 [3] Raphael B, Krishanmoorthy C S. Automating finite element development using object oriented techniques[J]. Eng Computation, 1993, 10: 267- 278 [4] Brown P R. A non- interactive method for the automatic generation of finite element meshes using the Schwarz-Christoffel transformation[J]. Computer Methods in Applied Mechanics and Engineering, 1981, 25(1) : 101- 126 [5] T D Blacker, M B Stephenson. Paving: A New Approach to Automated Quadrilateral Mesh Generation. International Journal for Numerical Methods in Engineering, 1991, 32: 811~847 [6] Yerry M A, Shephard M S. A modified quad tree approach to finite element mesh generation[J]. IEEE Computer Graphics & Applications, 1983, 3(1): 39- 46 [7] 曹新红, 陈尚法,陈胜宏.三维复杂域四面体有限单元网格行波法生成[J].武汉水利电力大学学报. 1998,31（1）：16-20 [8] 陈尚法,陈胜宏.三维复杂域非结构化六面体网格全自动生成方法[J]. 岩土力学. 1998,19（1）：16-20 [9] 邓建辉,熊文林,葛修润.复杂区域自适应三角形网格全自动生成方法[J].岩土力学.1994, 15(2):43-54 [10] Lo S H. A new mesh generation scheme for arbitrary planar domains[J]. International Journal for Numerical Methods in Engineering, 1985, 21: 1403-1426. [11] 修荣荣,徐明海,黄善波,陶文铨. 网格单元形状对数值计算的影响[J]. 工程热物理学报,2004(2): 317-319.
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