二维潜水运动方程的分裂解法

本文通过对二维潜水运动方程的变形，按其在形式上所代表的意义不同，用和分裂方法，把它分解成“对流”和“扩散”两部分．对前者，用交替方向有限差分法求解；对后者，用交替方向Ｐｉｃａｒｄ迭代法进行计算，从而达到获得整个问题的解的目的．最后，用数值例子验证了所提方法的有效性，并与线性化的有限差分法作了对比，证明本文所提方法在计算精度上有所提高。

Splitting Method for Two-Dimensional Phreatic Flow Equation

In this paper according to their difference in*phys ical meaning', two-dimensional pbreatic flow equation, which has been transformed, is devided into two parts......advection and dispersion by the splitting method. For the former,alternating direction finite difference method will be used and for the latter, it is resolved by alternating direction Picard iternt ion, thereforce, the aim of computing the solution of whole problem' will bs reached. At last, the validity of the algorithms is proved by the numerical example. The comparisoll of the proposed method with the convent ional finite difference (linear lied) is made. The resull s show that the precision of calculation by the method proposed in this paper is better than the conventional methods.