曲面的有限元网格顶点法矢算法  

Algorithms of vertex normal computation for finite element surface mesh

作　　者：阳湘安[1] 阮锋[2] 

机构地区：[1]广东技术师范学院机电学院,广东广州510635 [2]华南理工大学机械与汽车工程学院,广东广州510640

出　　处：《计算机工程与设计》2014年第9期3095-3098,3112,共5页Computer Engineering and Design

基　　金：国家自然科学基金项目(50805050);广东技术师范学院重点(扶持)学科建设经费基金项目(080201)

摘　　要：分析计算有限元三角形网格顶点法矢的各种算法原理,比较各种算法的结果精度,指出Max方法考虑了三角形网格的形状,且本质上是一种通过对四面体进行外接球面拟合的计算方法,结果精度很高。在此基础上,针对曲面在有限元网格划分后可能同时存在三角形网格和四边形网格,提出适应于单独的三角形网格和四边形网格与两者并存的混合网格的顶点法矢求取算法,计算结果表明了算法的适应性和有效性。The principles of various algorithms for calculating vertex normal on the triangular mesh in the FEM were analyzed, and the accuracies of the results for those algorithms were also compared among each other. Results show that the Max algorithm has very high accuracy due to the consideration of the triangular mesh shape and its circumscribed sphere surface fitting method. Based on those above and considering the case in the finite element surface meshing that meshes also exist in the triangular and quadrilateral form together, an algorithm to calculate the vertex normal for the triangular mesh and the quadrilateral mesh as well as the combined mesh was proposed. Calculated results show the adaptability and effectiveness of the algorithm.

关 键 词：混合网格 顶点法矢 有限元 离散曲面 算法 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]