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基于GIS的二维非结构化剖分网格优化
引用本文:赵晓东,王海龙,沈永明.基于GIS的二维非结构化剖分网格优化[J].地理与地理信息科学,2010,26(2).
作者姓名:赵晓东  王海龙  沈永明
作者单位:1. 大连大学院士创业园中日地层环境科学研究中心,辽宁,大连,116622
2. 大连理工大学海岸和近海工程国家重点实验室,辽宁,大连,116023
基金项目:国家自然科学基金项目 
摘    要:非结构化网格剖分是数值模拟的关键技术之一,网格质量直接影响到计算的收敛性和精确度。在GIS辅助建立非结构化网格空间拓扑关系的基础上,针对GIS和实际研究问题给出Spring-Laplace方法——一种新的单元尺度函数定义,在GIS空间算法下利用该方法优化节点位置,并基于推进阵面算法的思想,结合空间邻近拓扑关系实现了三角剖分节点和网格的重新编号算法,方便了开边界条件的赋值,提高了计算效率。实例表明,该方法大大提高了网格生成质量,能适应FVCOM数值模型对非结构化网格剖分的要求,其收敛速度快,具有较高的运算效率。

关 键 词:网格优化  尺度

Optimization on 2D Unstructured Mesh Generation Based on GIS
ZHAO Xiao-dong,WANG Hai-long,SHEN Yong-ming.Optimization on 2D Unstructured Mesh Generation Based on GIS[J].Geography and Geo-Information Science,2010,26(2).
Authors:ZHAO Xiao-dong  WANG Hai-long  SHEN Yong-ming
Abstract:The unstructured mesh generation is one of the key technical issues in numerical simulations,and the quality of mesh has a significant impact on convergence and accuracy of calculation.Based on establishing spatial topological relations between the mesh nodes and triangulation in GIS,the definition of element scaling function for the Spring-Laplace method considering GIS and the research issue,is proposed to optimize node positions.Also based on the idea of advancing front algorithm and spatial topological relations between the mesh nodes and triangulation,the re-numbering algorithm is proposed to facilitate the assignment of the open boundary conditions and improve the computational efficiency.The application to the practical simulation shows that the proposed method can greatly enhance the quality of mesh generation,adapt to unstructured mesh generation requirements of FVCOM numerical model with rapid convergence and high computational efficiency.
Keywords:GIS  FVCOM  GIS  mesh optimization  scale  FVCOM
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