二维自适应结构网格的变分生成方法

计算物理 ›› 2004, Vol. 21 ›› Issue (1): 27-34.

二维自适应结构网格的变分生成方法

于明

北京应用物理与计算数学研究所, 北京 100088

收稿日期:2002-10-14 修回日期:2003-04-18 出版日期:2004-01-25 发布日期:2004-01-25
作者简介:丁明(197l-),男,四川资阳,博士,助理研究员,主要从事计算流体力学研究,北京市8009信箱14分箱100088.
基金资助:
中国工程物理研究院院内基金资助项目

Generation of 2-D Adaptive Structured Grids by Variational Methods

YU Ming

Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2002-10-14 Revised:2003-04-18 Online:2004-01-25 Published:2004-01-25

摘要/Abstract

摘要： 提出-一种二维结构网格的自适应生成方法,即采用变分方程控制网格的疏密程度以及光滑性、正交性和正规性,并且所有的控制方程具有-致的量纲.几个数值算例表明,给出的网格自适应生成方法能够较好地收敛到方程的唯-解,同时产生性质良好的二维自适应结构网格.

关键词: 二维结构网格, 自适应性, 变分方程

Abstract: An adaptive generation method about two dimensional structured grids is presented.Several variational methods are used to control the mesh spacing,smoothness,orthogonality and regularity of grids generated.The all governing equations have identical dimensions.Some typical examples demonstrate that the method of adaptively generating grids can well converge to the unique solution of the governing partial differ-ential equations, and in the meanwhile can get structured grids.

Key words: two dimensional structured grids, adaptive generation, variational methods

中图分类号:

O351
O241

于明. 二维自适应结构网格的变分生成方法[J]. 计算物理, 2004, 21(1): 27-34.

YU Ming. Generation of 2-D Adaptive Structured Grids by Variational Methods[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 21(1): 27-34.