水科学与水工程2009，Vol.2Issue(2)：43-51,9.DOI:10.3882/j.issn.1674-2370.2009.02.005
Membrane finite element method for simulating fluid flow in porous medium
Membrane finite element method for simulating fluid flow in porous medium
摘要
Abstract
A new membrane finite element method for modeling fluid flow in a porous medium is presented in order to quickly and accurately simulate the geo-membrane fabric used in civil engineering. It is based on discontinuous finite element theory, and can be easily coupled with the normal Galerkin finite element method. Based on the saturated seepage equation, the element coefficient matrix of the membrane element method is derived, and a geometric transform relation for the membrane element between a global coordinate system and a local coordinate system is obtained. A method for the determination of the fluid flux conductivity of the membrane element is presented. This method provides a basis for determining discontinuous parameters in discontinuous finite element theory. An anti-seepage problem regarding the foundation of a building is analyzed by coupling the membrane finite element method with the normal Galerkin finite element method. The analysis results demonstrate the utility and superiority of the membrane finite element method in fluid flow analysis of a porous medium.关键词
membrane finite element/normal Galerkin finite element method/coupling/fluid flow in porous mediumKey words
membrane finite element/normal Galerkin finite element method/coupling/fluid flow in porous medium分类
建筑与水利引用本文复制引用
Mei-li ZHAN,Wen-jie ZHANG,Jin-chang SHENG,Jian-hui LI,Shu-yuan HE..Membrane finite element method for simulating fluid flow in porous medium[J].水科学与水工程,2009,2(2):43-51,9.基金项目
This work was supported by the National Natural Science Foundation of China (Grant No. 50779012). （Grant No. 50779012）
