水坝渗流自由边值问题的解法

A METHOD FOR SOLVING THE DAM SEEPAGE FREE-BOSMDARY PROBLEM

本文给出一个变换,它将水坝渗流自由边值问题化为一个矩形(二维情况)或长方体(三维情况)区域上的拟线性椭圆型方程组的固定边值问题。它很容易用有限差分方法及SOR算法求解。本文方法适用于二维、三维以及有排水井的情况。

In this paper, a transformation is given, which transformed the dam seepage free - boundary problem into a fixed-boundary problem of a quasi-Liner elliptic equations on a rectangular (as 2-dimension)or cubic (as 3- dimension)doma in. The latter problem is solved easily to use the finite - difference method and the SOR arithmetic. The method is given in this paper, is suitable for 2 -dimension or 3 -dimension and at that time there are a well.