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.
出处
《数值计算与计算机应用》
CSCD
北大核心
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
