基于黎曼度量参数曲面四边形网格生成方法及UG实现  

Surface quadrilateral mesh generation based on Riemannian metric and its implementation in UG-NX

作　　者：郭新强[1] 张见明[1] 覃先云[1] 穆东辉[2] 宋乔[2] 

机构地区：[1]湖南大学汽车车身先进设计制造国家重点实验室,湖南长沙410082 [2]北京第二机床厂有限公司,北京100072

出　　处：《图学学报》2012年第3期17-23,共7页Journal of Graphics

基　　金：国家自然科学基金资助项目(10972074);国家"863"计划资助项目(2008AA042507);湖南大学汽车车身先进设计制造国家重点实验室内自主课题资助项目(60870003);教育部长江学者与创新团队发展计划资助项目(531105050037)

摘　　要：论文给出了基于黎曼度量的参数曲面网格生成的改进铺砖算法。阐述了曲面自身的黎曼度量,并且运用黎曼度量计算二维参数域上单元节点的位置,从而使映射到三维物理空间的四边形网格形状良好。文中对原有铺砖法相交处理进行了改进,在运用铺砖法的同时调用UG-NX强大的二次开发库函数获取相应的信息,直接在UG-NX模型的表面生成四边形网格。算例表明,该法能在曲面上生成质量好的网格。An improved paving algorithm based on the Riemannian metric is proposed for the mesh generation in the parametric surface.To obtain fine mesh in 3D space,the locations of the corresponding points in 2D parametric space are calculated using the Riemannian metric.Some improvements on the intersection disposal in the paving method are made.The improved method is implemented to generate quadrilateral mesh on surfaces of a solid model,which is constructed by UG-NX.In this implementation,geometric data of the solid model are obtained through functions from the function library in UG／OPEN API.Examples indicate that surface mesh with high quality can be generated by our method.

关 键 词：计算固体力学 参数曲面网格 铺砖法 UG-NX二次开发 黎曼度量 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]