首页 | 本学科首页   官方微博 | 高级检索  
     

基于矢量场的二维区域全自动四边网格生成
引用本文:何寿平,肖周芳,陈建军,徐岗,郑耀.基于矢量场的二维区域全自动四边网格生成[J].计算机辅助设计与图形学学报,2020,32(5):730-739.
作者姓名:何寿平  肖周芳  陈建军  徐岗  郑耀
作者单位:杭州电子科技大学计算机学院 杭州 310018;浙江大学工程与科学计算研究中心 杭州 310027
基金项目:NSFC-浙江两化融合联合基金;国家数值风洞工程;航空动力基金;国防基础科研项目;浙江省自然科学基金杰出青年科学基金;国家自然科学基金
摘    要:为了实现任意二维几何模型的高质量分块结构四边形网格自动生成,提出一种基于矢量场的二维区域全自动分解方法.首先利用边界元法求解拉普拉斯型控制方程,获取一个反映模型边界几何特征、覆盖整个问题域的矢量场;然后结合矢量与标架的映射关系,将计算得到的矢量场转化为标架场;最后通过分析标架场的奇异结构将问题域分解成多个四边子区域,并在每个子区域利用映射法生成高质量的结构四边形网格.通过复杂区域的网格生成实例,验证了该方法的有效性和可靠性.

关 键 词:网格生成  边界元法  区域分解  矢量场  标架场

Automatic Quad Mesh Generation of 2D Domain Based on Vector Field
He Shouping,Xiao Zhoufang,Chen Jianjun,Xu Gang,Zheng Yao.Automatic Quad Mesh Generation of 2D Domain Based on Vector Field[J].Journal of Computer-Aided Design & Computer Graphics,2020,32(5):730-739.
Authors:He Shouping  Xiao Zhoufang  Chen Jianjun  Xu Gang  Zheng Yao
Affiliation:(College of Computer Science and Technology,Hangzhou Dianzi University,Hangzhou 310018;Center for Engineering and Scientific Computation,Zhejiang University,Hangzhou 310027)
Abstract:An automatic decomposition approach is proposed for 2D domains based on solving a vector field.It enables the automatic generation of high-quality block-structured quadrilateral meshes in arbitrary 2D domains.Firstly,a vector field that covers the entire problem domain is obtained by solving the Laplace-type governing equations with the boundary element method(BEM).The vector field also reflects the requirements of users on the generation of boundary aligned quadrilateral elements.Next,the vector field is converted into a frame field by using the basic map between these two fields.Finally,the problem domain is decomposed into several four-sided sub-regions by analyzing the singularities of the frame field,and a block-structured quadrilateral mesh is created by meshing the sub-regions individually with the mapping method.The effectiveness and reliability of the proposed method are verified with complex examples.
Keywords:mesh generation  boundary element method  partitioning  vector field  frame field
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号