An accelerated scheme with high quality mesh based on Lloyd iteration  

作　　者：秦衡峰 王艺 李明富 周后明 

机构地区：[1]School of Mechanical Engineering,Xiangtan University [2]Key Laboratory of Computation and Simulation in Science and Engineering of Hunan Province(Xiangtan University)

出　　处：《Journal of Central South University》2012年第10期2797-2802,共6页中南大学学报（英文版）

基　　金：Project(11002121) supported by the National Natural Science Foundation of China;Project(09QDZ09) supported by Doctor Foundation of Xiangtan University, China;Project(2009LCSSE11) supported by Hunan Key Laboratory for CSSE, China;Project(2011FJ3231) supported by Planned Science and Technology Project of Hunan Province,China;Project(12JJ3054) supported by the Provincial Natural Science Foundation of Hunan,China

摘　　要：High quality mesh plays an important role for finite element methods in science computation and numerical simulation.Whether the mesh quality is good or not,to some extent,it determines the calculation results of the accuracy and efficiency.Different from classic Lloyd iteration algorithm which is convergent slowly,a novel accelerated scheme was presented,which consists of two core parts:mesh points replacement and local edges Delaunay swapping.By using it,almost all the equilateral triangular meshes can be generated based on centroidal Voronoi tessellation(CVT).Numerical tests show that it is significantly effective with time consuming decreasing by 40%.Compared with other two types of regular mesh generation methods,CVT mesh demonstrates that higher geometric average quality increases over 0.99.High quality mesh plays an important role for finite element methods in science computation and numerical simulation. Whether the mesh quality is good or not, to some extent, it determines the calculation results of the accuracy and efficiency. Different from classic Lloyd iteration algorithm which is convergent slowly, a novel accelerated scheme was presented, which consists of two core parts： mesh points replacement and local edges Delaunay swapping. By using it, almost all the equilateral triangular meshes can be generated based on centroidal Voronoi tessellation （CVT）. Numerical tests show that it is significantly effective with time consuming decreasing by 40%. Compared with other two types of regular mesh generation methods, CVT mesh demonstrates that higher geometric average quality increases over 0.99.

关 键 词：Lloyd iteration mesh generation Delaunay triangulation high quality mesh centroidal Voronoi tessellation 

分 类 号：TP393.01[自动化与计算机技术—计算机应用技术] O241.82[自动化与计算机技术—计算机科学与技术]