有限元网格生成方法综述  

A Survey of Finite Element Mesh Generation Methods

作　　者：雷娜[1] 冯宇豪 段君毅 张萍 郑晓朋 顾险峰[2] LEI Na;FENG Yuhao;DUAN Junyi;ZHANG Ping;ZHENG Xiaopeng;GU Xianfeng(School of Software Technology,Dalian University of Technology,Dalian 116600,China;Department of Computer Science,Stony Brook University,The State University of New York,New York NY11794,USA)

机构地区：[1]大连理工大学软件学院,大连116600 [2]纽约州立大学石溪分校计算机科学学院,纽约NY11794

出　　处：《电子科技大学学报》2024年第6期816-843,共28页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(T2225012,62272080)。

摘　　要：有限元网格是链接几何模型和数值仿真的关键纽带,其自动化自适应生成仍是须重点研究的问题。文章综述了三角形网格、四面体网格、四边形网格和六面体网格的研究现状;对非结构化网格生成方法进行了总结,详细介绍了三角形网格和四面体网格生成的主流方法与工程技巧;进一步对结构化网格生成的技术和发展进行了分析,论述了四边形和六面体网格的各种生成方法的原理、优缺点以及研究趋势。The finite element mesh is the key link between the geometry model and the numerical simulation,and its automatic adaptive generation is still a key problem to be studied.In this paper,the research of triangular surface meshes,tetrahedral meshes,quadrilateral surface meshes and hexahedral meshes is reviewed.This paper summarizes the methods of unstructured mesh generation,and introduces the mainstream methods and engineering techniques of triangular mesh and tetrahedral mesh generation in detail.Furthermore,the technology and development of structured mesh generation are analyzed,and the principles,advantages and disadvantages of various generation methods of quadrilateral and hexahedral meshes are discussed.

关 键 词：三角形面网格 四面体网格 四边形面网格 六面体网格 

分 类 号：TP31[自动化与计算机技术—计算机软件与理论]