边界元法模拟渗流问题的无穷序列逼近法

Infinite sequential approximation of BEM simulating seepage problem

本文用数学中的无穷序列逼近方法(微扰理论)将变系数及非线性偏微分方程(地下水流控制方程)分解化为一系列常系数线性偏微分方程,这一系列方程与其相应的初边值条件构成的定解问题用边界元法很容易求得其解,最后通过这一系列解的回代合成即可求得原渗流问题的终解。此方法使传统的边界元法解非均质或无压地下水流问题有了新的进展。

Using infinite sequential approximation (perturbation theory), this paper resolves the variable coefficient and non—linear partial differential equations into a series of constant coefficient linear partial differential equations. The definite solutron problem of these equations with their initial boundary value conditions can be easily solved by BEM. The final solutions of seepage problems can be obtained by iteration and synthesis of these solutions. This makes some progress of BEM in solving non—homogeneous or unconfincd groudwater problem.