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基于约束Delaunay三角化的二维非结构网格生成方法
引用本文:王盛玺,宋松和,邹正平.基于约束Delaunay三角化的二维非结构网格生成方法[J].计算物理,2009,26(3):335-348.
作者姓名:王盛玺  宋松和  邹正平
作者单位:1. 国防科学技术大学理学院, 湖南 长沙 410073;2. 北京航空航天大学气动热力重点实验室, 北京 100083
摘    要:给出基于局部重构和边交换技术的两种约束Delaunay三角剖分方法并证明其收敛性.采用边界指示法恢复流场形状;在预设尺度的指导下融合流场边界曲率、中轴线、梯度限制等信息修正流场尺度;运用Spring方法布置边界点,通过符号面积函数和概率筛选法布置计算区域节点;运用Spring-Laplace方法优化节点位置,伴同边交换和边吞噬技术优化网格结构.该方法可自由进行局部自适应加密或稀疏,并应用于映射曲面网格生成和移动网格技术.

关 键 词:非结构网格  自适应  约束Delaunay三角化  离散边界  尺度  
收稿时间:2007-12-04
修稿时间:2008-05-08

Two-dimensional Unstructured Mesh Generation with Constrained Delaunay Triangulations
WANG Shengxi,SONG Songhe,ZOU Zhengping.Two-dimensional Unstructured Mesh Generation with Constrained Delaunay Triangulations[J].Chinese Journal of Computational Physics,2009,26(3):335-348.
Authors:WANG Shengxi  SONG Songhe  ZOU Zhengping
Institution:1. Science College, National University of Defense and Technology, Changsha 410073, China;2. National Key Lab of Aero-thermodynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
Abstract:Two constrained Delaunay triangulation methods based on local reconstruction and side-swapping method are presented.Their convergence are shown.Appointed fields are renewed by boundary indicating method.It updates field scales by analysis of boundary curvature,axial and mutual smooth gradient of the domain.Based on Spring method,boundary points according to field scales are generated.By sign-area function and probability filer,initial points of field are obtained.Structure of meshes is optimized by Spring-L...
Keywords:unstructured mesh  adaptive  constrained Delaunay method  discrete boundary  scale  
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