四边形网格自动生成方法改进及工程应用 

奚鹏飞 徐青

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中国农村水利水电 ›› 2018 ›› (9) : 182-186.
水工建筑

四边形网格自动生成方法改进及工程应用 

  • 奚鹏飞,徐青
作者信息 +

The method improvement of quadrilateral mesh automatic generation and engineering application

  • XU Qing,XI Peng-fei
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摘要

网格生成在有限单元法中占有重要的地位。水工建筑物及其基岩中,由于存在廊道/孔洞、防渗设施、软弱夹层、节理等空腔结构、薄层结构等,网格划分难度较大,在网格生成过程中不可避免地会出现质量较差的单元,引起数值分析结果出现偏差,甚至错误;二维网格自动生成问题已经解决,但在遇到一些特殊区域时,仍常常会出现异常中断等问题。本文基于行波法,针对水工建筑物及其基岩中存在水平边和铅直边的薄层结构,以及其他复杂边界时,开展了四边形网格自动生成算法优化研究,改进并提高了复杂区域四边形网格全自动划分的鲁棒性,对有限单元法在水利工程中的普及应用具有重要意义。改进后的网格自动生成方法成功应用于土石坝渗流分析案例,验证了本文提出的改进方法的可行性、鲁棒性和合理性。

Abstract

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.

关键词

四边形网格 / 行波法 / 鲁棒性 / 网格质量优化 / 渗流分析

Key words

quadrilateral mesh / advancing front method / robustness / mesh quality improvement / seepage analysis

引用本文

导出引用
奚鹏飞 徐青. 四边形网格自动生成方法改进及工程应用 [J].中国农村水利水电, 2018(9): 182-186
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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