变饱和渗流数值模拟的有限元方法

FINITE-ELEMENT ALGORITHMS FOR SIMULATING WATER FLOW IN VARIABLY SATURATED POROUS MEDIA

本文研究时间相关变饱和渗流数值模拟的有限单元法,提出了两种计算系数矩阵的简便方法(影响系数法)。新算法避免了大量的数值积分,极大地减少了数值计算量。两个典型的物理模型被用来检验和阐明本文方法的计算特性。

The Galerkin finite element formulation is developed for the numerical simulation of water flow in variably saturated porous media. Both new Influence Cofficient techniques are proposed which can be used to compute element matrices in a simple and efficient manner. The new techniques avoid numerical integration and lead to a substantial saving of cost. Two examples are presented to verify the proposed techniques and show their computational characteristics.