面向自适应计算的局部四面体网格重划分  

Local Tetrahedra Mesh Remeshing for Adaptive Computation

作　　者：刘田田 郑澎 冷珏琳[1,2] 刘伟杰 徐权 杨洋 LIU Tiantian;ZHENG Peng;LENG Juelin;LIU Weijie;XU Quan;YANG Yang(CAEP Software Center for High Performance Numerical Simulation,Beijing 100088,China;Institute of Applied Physics and Computational Mathematics,Beijing 100094,China;Institute of Computer Application,China Academy of Engineering Physics,Mianyang 621900,Sichuan Province,China)

机构地区：[1]中物院高性能数值模拟软件中心,北京100088 [2]北京应用物理与计算数学研究所,北京100094 [3]中国工程物理研究院计算机应用研究所,四川绵阳621900

出　　处：《吉林大学学报（理学版）》2021年第6期1461-1468,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11801037);中物院创新发展基金(批准号:CX20210045).

摘　　要：为有效满足h自适应的网格重划分要求,提出通过前沿推进法和Delaunay算法对四面体网格进行局部重划分.首先,在重划分过程中,采用由线到面、由面到体的顺序保证整体网格的协调性;其次,通过局部尺寸函数保证网格尺寸平滑过渡;最后,用投影法使网格满足几何保形.仿真实验结果表明,该算法适用于包含多部件的复杂计算机辅助设计(CAD)模型,在h自适应加密过程中网格更贴近真实几何形态,且重划分后可保证网格单元的质量.In order to effectively meet the requirements of h-adaptive mesh remeshing,we proposed a local tetrahedral mesh remeshing by advancing front method and Delaunay algorithm.Firstly,the order from line to surface and from surface to body was adopted to ensure the coordination of the overall network in the process of remeshing.Secondly,the local size function was used to ensure the smooth transition of mesh size.Finally,the projection method was used to make the mesh be shape-preserving.The simulation results show that the algorithm is suitable for the complex computer aided design(CAD)model with multiple parts,the mesh is closer to the real geometry in the process of h-adaptive encryption,and the mesh quality can be guaranteed after remeshing.

关 键 词：网格自适应技术 局部重划分 四面体网格 复杂CAD模型 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]