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基于波前法的参数曲面有限元网格生成算法
引用本文:黄晓东,丁问司,杜群贵.基于波前法的参数曲面有限元网格生成算法[J].计算机辅助设计与图形学学报,2010,22(1).
作者姓名:黄晓东  丁问司  杜群贵
作者单位:华南理工大学机械与汽车工程学院,广州,510640
基金项目:国家自然科学基金(50775075)
摘    要:为克服参数曲面有限元网格生成中的单元形状映射畸变问题,提出一种曲面有限元网格自动生成算法.该算法由弹性矢量确定曲面上新节点的生成方向和空间位置,利用相应的参数域网格进行新单元拓扑相容性判断.在生成闭曲面网格时,通过添加参/虚边界棱边对闭曲面边界进行调整,确保闭曲面边界信息相对其参数域的完整性;在给出闭曲面极点初始化方法和适当设置单元边线段相等条件的基础上,该算法适用于各种不同形式闭曲面的网格自动生成.实验算例表明,文中算法可生成质量良好的参数曲面和组合面有限元网格.

关 键 词:参数曲面  网格生成  波前法  有限元法  

Parametric Surface Mesh Generation Based on Advancing Front Technique
Huang Xiaodong,Ding Wensi,Du Quigui.Parametric Surface Mesh Generation Based on Advancing Front Technique[J].Journal of Computer-Aided Design & Computer Graphics,2010,22(1).
Authors:Huang Xiaodong  Ding Wensi  Du Quigui
Affiliation:College of Mechanical and Automotive Engineering/a>;South China University of Technology/a>;Guangzhou 510640
Abstract:To solve the problem of shape distortion when generating the finite element mesh of parametric surfaces with mapping method,a new algorithm for parametric surface mesh generation based on advancing front technique is proposed.The algorithm selects the direction along which a new node is located according to an elastic vector.The topological compatibility of the new element is then checked against the surrounding mesh in the parameter domain.Moreover,a method for adjusting the boundary of closed surface is s...
Keywords:parametric surface  mesh generation  advancing front technique  finite element method  
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