水坝渗流自由边值问题的解法

计算物理 ›› 1992, Vol. 9 ›› Issue (4): 411-412.

水坝渗流自由边值问题的解法

战同胜

大连大学数学系, 116001

收稿日期:1991-12-11 出版日期:1992-12-25 发布日期:1992-12-25

A METHOD FOR SOLVING THE DAM SEEPAGE FREE-BOSMDARY PROBLEM

Zhan Tongsheng

Dept. Math., Dalian University, 116001

Received:1991-12-11 Online:1992-12-25 Published:1992-12-25

摘要/Abstract

摘要： 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。

关键词: 水坝渗流, 自由边值问题, 固定边值问题, 拟线性椭圆型方程组

Abstract: 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.

Key words: dam seepage, free-boundary problem, fixed-boundary problem, guasi-linear elliptic equations

战同胜. 水坝渗流自由边值问题的解法[J]. 计算物理, 1992, 9(4): 411-412.

Zhan Tongsheng. A METHOD FOR SOLVING THE DAM SEEPAGE FREE-BOSMDARY PROBLEM[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(4): 411-412.