一种二维数值网格的构造方法  

A TWO-DIMENSIONAL NUMERICAL GRIDS GENERATION METHOD

作　　者：徐涛[1] 水鸿寿[1] 

机构地区：[1]北京应用物理与计算数学研究所,计算物理实验室

出　　处：《数值计算与计算机应用》1999年第2期138-152,共15页Journal on Numerical Methods and Computer Applications

基　　金：中国工程物理研究院院基金

摘　　要：The algebraic expressions describing the geometric properties of mesh curves aregiven. The control functions concering above properties are introduced and functionalsshowing those properties are constructed. Based on a theorem, we get the concretecorresponding relation of the control functions with the mesh properties when thefuctional taken minimum. By the numerical solution of Euler equation obtained fromfunctional minimum, we get the needed grids. This method of grids generation has aquit derict geometric meaning, and its inner control is flexible. Particularly not onlythe adaptability with physical preoblem is concerned, but also the adaptability with thereal physical region. The numerical experiments verified the efficiency of our method.The algebraic expressions describing the geometric properties of mesh curves aregiven. The control functions concering above properties are introduced and functionalsshowing those properties are constructed. Based on a theorem, we get the concretecorresponding relation of the control functions with the mesh properties when thefuctional taken minimum. By the numerical solution of Euler equation obtained fromfunctional minimum, we get the needed grids. This method of grids generation has aquit derict geometric meaning, and its inner control is flexible. Particularly not onlythe adaptability with physical preoblem is concerned, but also the adaptability with thereal physical region. The numerical experiments verified the efficiency of our method.

关 键 词：偏微分方程 数值网格 二维 数值计算 

分 类 号：O241.82[理学—计算数学]