多裁剪自由曲面生成有限元网格的实现  

Implementation of Finite Element Method Mesh Generation from Multiple Trimmed Free Surfaces

作　　者：张苏[1] 施法中[1] 

机构地区：[1]北京航空航天大学机械工程与自动化学院,北京100083

出　　处：《软件学报》2005年第11期2008-2013,共6页Journal of Software

基　　金：国家高技术研究发展计划(863)~~

摘　　要：论述了多裁剪自由曲面生成有限元曲面网格的几个关键技术.采用了推进波前法生成曲面网格,给出了核心算法;在曲面算法中运用了介于参数法与直接法之间的新方法.针对求解曲面上最优点的参数域反算问题,引入了切矢逆求方法,可使迭代次数大为降低.测试表明,该算法快速、稳定.对大型的多裁剪自由曲面生成的曲面有限元网格,可直接用于有限元计算.In this paper, some key techniques about FEM surface mesh generation from multiple trimmed free surfaces are presented. The Advancing Front method is adopted and its kernel algorithm is given. A new method combining the parametric space method and direct 3D method is used during the surface calculation. As for the parametric space calculation to find an optimal 3D point, the Tangent Vector Inversion is presented so as to cut down iteration. Test results show this algorithm is quicker and more robust. The FEM mesh generated from large multiple trimmed free surfaces can be applied to finite element method directly.

关 键 词：网格剖分 多裁剪自由曲面 推进波前法 切矢逆求 

分 类 号：O242[理学—计算数学]