基于形体中轴的全四边形有限元网格自动生成算法  

A New Method for All Guadrilateral Mesh Using Medial Axis Transform

作　　者：侯贤昭[1] 刘旺玉[1] 欧元贤[1] 侯文峰[1] 

机构地区：[1]华南理工大学机械工程学院,广东广州510640

出　　处：《佳木斯大学学报（自然科学版）》2006年第1期68-71,共4页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金(19902004);广东省自然科学基金(05006496)资助项目

摘　　要：空间任意形体均可由形体中轴和中轴半径重构.本文在任意区域的形体中轴生成的基础上,提出了一种应用中轴半径函数及其变化,生成全四边形有限元网格的新算法———排梯法.应用结果表明,本算法可生成接近正方形的高质量的网格,且算法简单,易于编程,能大大提高有限元计算效率和应用范围.Any object in Cartesian system can be described with the shape medial axis（M.A） and the radius correspond to MA. Based on the generated results of MA of any object, a new mesh generation algorithm called ＂Place Ladders＂ to automatically generate an all quad mesh that is adapted to the variation of geometric feature size in the domain is described. The application example shows that the method is simple and fast in speed, and the quality of the meshes is excellent. It is easy for program. Therefore, it can largely raise the preprocess efficiency of the adaptive FEM.

关 键 词：有限元法 中轴 全四边形网格 

分 类 号：TH122[机械工程—机械设计及理论] O242.21[理学—计算数学]