曲线网格生成调节因子选取研究

指出了常用Ｔｈｏｍｐｓｏｎ方法中调节因子对生成网格曲线所存在的问题，从另一角度发出，借助于自然符合椭圆型函数关系的某些物理现象，导出了一种新的调节因子表达式，并着重探讨分析了该因子的适用条件，长江三峡工程河段，第二松花江曾通河段实际水域的应用检验表明，该调节因子对强弯河段及多连通水域网格布置具有良好的效果。

Selection of Adjusting Factors in the Generation of Curvilinear Grid

Some problems concerning the adjusting factors in the commonly used Thompson method in the generation of curvilinear grid are described. From another point of view, with the aid of some natural phenomena which correspond to elliptic function relationship, a new expression of adjusting factors is derived. Moreover, analysis of suitable conditions for the kind of adjusting factors is conducted. Practical application to the Three Georges project reach of the Yangtze River and the Zengtong reach of the second SongHuajiang river shows that the present grid is effective.