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坝体渗流自由边值问题的一个解法
A Method for Solving the Dam Seepage Free-Bosmdary Problem
【摘要】 <正> 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.但是要求AE必须是直线
【Abstract】 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 .
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,1991年04期
- 【被引频次】2
- 【下载频次】27