Towel型域到方形计算域全局同胚网格的数值生成方法

计算物理 ›› 2001, Vol. 18 ›› Issue (5): 439-442.

Towel型域到方形计算域全局同胚网格的数值生成方法

王如云¹, 方国洪², 张东生¹, 张长宽¹, 张君伦¹

1. 河海大学, 江苏南京 210098;
2. 中国科学院海洋研究所, 山东青岛 266071

收稿日期:2001-01-21 修回日期:2001-04-06 出版日期:2001-09-25 发布日期:2001-09-25
作者简介:王如云(1963-),男,安徽,副教授,博士,上要从事计算流体动力学研究.
基金资助:
国家自然科学基金(59979004);高等学校博士学科点专项科研基金(1999029410)资助项目

A NUMERICAL GENERATING METHOD FOR GLOBAL HOMEOMORPHIC GRID FROM TOWEL-SHAPED REGION TO SQUARE COMPUTATIONAL REGION

WANG Ru-yun¹, FANG Guo-hong², ZHANG Dong-sheng¹, ZHANG Chang-kuan¹, ZHANG Jun-lun¹

1. Hehai University, Nanjing 210098, P R China;
2. Chinese Institute of Oceanology, Academia Sinica, Qingdao 266071, P R China

Received:2001-01-21 Revised:2001-04-06 Online:2001-09-25 Published:2001-09-25

摘要/Abstract

摘要： 对任意维Towel型物理域 D到方形计算域D_c 的全局同胚映射数值实现方法进行研究,给出了任意维等参数正变换的数值迭代求解方法,并就迭代求解方法的误差进行分析,给出了数值网格点互不重合的一个充分性条件.最后,根据该方法,给出了钱塘江口的二维不重叠数值网格生成算例.

关键词: 全局同胚映射, 等参数正变换, 数值网格

Abstract: The numerical generating method for global homeomorphic grid from multi-dimensional towel-shaped reality region to square computational region is investigated. The numerical iterative method for multi-dimensional equal-parameter transformation is given. Its error analysis and the sufficient condition of numerical grid without overlapping is pressented. Finally, an example about two-dimensional non-overlapping numerical grid generation for Qiantang Estuary is shown.

Key words: global homeomorphic mapping, equal-parameter transformation, numerical grid

中图分类号:

O242

王如云, 方国洪, 张东生, 张长宽, 张君伦. Towel型域到方形计算域全局同胚网格的数值生成方法[J]. 计算物理, 2001, 18(5): 439-442.

WANG Ru-yun, FANG Guo-hong, ZHANG Dong-sheng, ZHANG Chang-kuan, ZHANG Jun-lun. A NUMERICAL GENERATING METHOD FOR GLOBAL HOMEOMORPHIC GRID FROM TOWEL-SHAPED REGION TO SQUARE COMPUTATIONAL REGION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(5): 439-442.

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