摘要
其中BC是自由边界面,H和h是常数,H>h,渗透系数K是x,y的函数,K>0.由于自由边界BC的存在,直接去解问题(1)比较困难.1980年Crank和Ozis提出一个方法,将变量u和x的函数关系交换,把(1)化为未知函数为x(u,y)的在一个梯形区域上的固定边界问题,大大简化了问题的求解.
In this paper, a transformation is given, which transformed the dam seepage free-boundary problem into a fixed-boundary problem of a quasi-Linear elliptic equations on a rectangular (as 2-dimension) or cubic (as 3-dimension) domain. 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 .
