Abstract: 2-D orthogonal fitted-body co-ordinate systems generated by a set of Laplace Equations is employed in computation of 2-D plane flow in river. It not only can overcome the defects that retangular mesh of finite difference had a poorer adaptability to complicated shape of natural river boundary and topography, but also it is easy to form general code for computation of flow in rive. It extends a capacity of finite difference in computation of flow. The lacation of mesh generated can be controlled by us. Therefore, it is a useful method to engine ring. The method has been verified by practical data. Better results can be obtained.

Key words: flow in rivers, orthogonal fitted-body co-ordinate systems, Laplace equations, ADI method

摘要： 将Laplace方程组数值生成的二维正交贴体坐标系应用于河道平面二维水流计算中,既弥补了传统差分法的矩形网格对不规则边界及地形适应性差这一不足,又提高了计算程序的通用性,拓展了差分法的应用能力,在网格生成中可人为控制网格位置,对工程应用十分有利,是值得推广的计算方法。计算结果与实际资料进行了对比,结果良好。

关键词: 河道水流, 正交贴体坐标系, Laplace方程, ADI法