变系数渗流场的正交各向异性边界元分析

The Orthotropic Boundary Element Method Analysis of Seepage Field With Variable Coefficients

本文给出了计算复杂渗流场的简化方法.首先由加权余量法得到变系数渗流问题的积分方程.再将区域及边界剖分,对各单元使用形心处的渗透系数而化为正交各向异性问题.最后用正交各向异性问题的基本解,得到对应于边界单元法的线性代数方程组.算例表明方法可靠.

In this paper,the reduced method of complex seepage calculation is pressented. Firstly,the integral equation of the seepage problem with variable coefficients is gotten by using the weighted residual method. Secondly,domain and boundary are subdivided,the seepage coefficients of centroids are used in elements so that the problem is inverted to the orthotropic seepage problem. Finally,the fundamental solution of the orthotropic problem is used and the system of linear algebraic equations for the boundary element method is established. Some examples are given which show that the suggested method is feasible.