复杂三维组合曲面的有限元网格生成方法  

Automatic finite element mesh generation over 3D combined surfaces

作　　者：关振群[1] 隋晓峰[1] 顾元宪[1] 李云鹏[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《计算力学学报》2003年第4期409-416,共8页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金 (1 0 0 0 2 0 0 6);国家 863高技术研究发展计划专项 (2 0 0 1 AA41 2 2 2 0 );国家重点基础研究专项 (G1 9990 32 80 5)资助项目

摘　　要：提出一种基于映射法的复杂三维组合曲面的有限元网格全自动生成方法。通过引入虚边界解决了闭合曲面在参数域中边界不完整的问题 ;通过调节虚边界提高了复杂组合曲面网格生成的质量。改进二维多边形区域的裁减算法 ,解决了闭合曲面在参数空间中的边界环形成问题。对曲面片公共边界进行统一离散化处理 ,以满足有限元网格的相容性要求。以边界表示 (B-Rep)数据结构为基础 ,实现了组合曲面全自动网格剖分的总成算法。改进了曲面网格剖分布点算法 ,并结合局部连接、诊断交换等技术 。Based on the traditional mapping approach, a method for finite element mesh generation over 3D combined surfaces is presented. The main features of the method are: (1) The virtual boundaries are employed to assist the mesh generation on closed surfaces, and adjustment to the virtual boundaries can improve the quality of the mesh generation. (2) The clipping algorithm of 2D arbitrary domain is improved to form the parametric boundary loops of the closed surfaces. (3) The common boundaries of adjoining surfaces are discretized conformably to need the consistent requirement of the finite element meshes. (4) The boundary-representation structure is adopted to fulfill the mesh generation over combined surfaces. (5) The total quality of surface meshes is improved by the algorithm of point creation on 3D scan lines and the procedure of diagonal swapping. This method has been successfully applied to JIFEX system, a general-purpose software for the analysis and design optimization of structures.

关 键 词：复杂三维组合曲面 网格剖分 闭合曲面 虚边界 有限元网格生成 映射法 全自动生成方法 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] O241.82[自动化与计算机技术—计算机科学与技术]