Author(s): Zhan Meili; Sheng Jinchang; Zhang Yu; Yang Lin; He Shuyuan
Linked Author(s): Yang Lin
Keywords: Membrane finite element; Normal Galerkin finite element; Couple; Fluid flow in porous medium
Abstract: A new membrane finite element method for fluid flow in porous medium is presented in this paper based on the discontinuous finite element theory, which can be easily coupled with normal Galerkin finite element. Taking Poisson equation as an example, the element coefficient matrix of membrane element method is derived and geometric transform relation of membrane element in general spatial position is given. A determination method and engineering meanings for fluid flux conductivity of membrane element is presented based on physical problem background of membrane element in fluid flow analysis in porous medium. At the same time, it offers physical background for deciding the discontinuous rate in discontinuous finite element theory. An anti-seepage problem of dam foundation is calculated by coupling the membrane finite element method with normal Galerkin finite element. The calculation results fully show that membrane finite element method has superiority and apply value in the research of engineering seepage control.
Year: 2010