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WATER RESOURCES RESEARCH,
VOL. 41,
W10417,
doi:10.1029/2004WR003934,
2005
Finite volume multiscale finite element method for solving the groundwater flow problems in heterogeneous porous media
Xinguang He
Department of Soil and Water Sciences, China Agricultural University, and Key Laboratory of Plant-Soil Interactions, MOE,
Beijing, China
Li Ren
Department of Soil and Water Sciences, China Agricultural University, and Key Laboratory of Plant-Soil Interactions, MOE,
Beijing, China
Abstract
In this paper we present a numerical method, the finite volume multiscale finite element method (FVMSFEM), for solving the
groundwater flow problems in heterogeneous porous media spanning over many scales. This method is based on an efficient coupling
between the finite volume discretization and the multiscale finite element base functions. It can efficiently capture the
large-scale structure of the solution on a coarse grid without resolving all the small-scale features and is locally conservative.
The underlying idea is to estimate the macroscopic fluxes across the finite control volume interface segments, which bring
the local small-scale information of the medium property to the large scales, by employing the multiscale finite element base
functions. We describe the strategy for constructing such a method on the basis of the transient flow problems in porous media.
Numerical experiments are carried out for groundwater flow in porous media with a random lognormal conductivity field to demonstrate
the efficiency and accuracy of the developed method.
Received 31
December
2004;
accepted 22
June
2005;
published 25
October
2005.
Keywords: finite volume;
multiscale finite element;
numerical simulation of groundwater flow;
heterogeneous porous media.
Index Terms: 1829 Hydrology: Groundwater hydrology; 1832 Hydrology: Groundwater transport; 0560 Computational Geophysics: Numerical solutions (4255); 0545 Computational Geophysics: Modeling (4255).
Read Full Article (file size: 780181 bytes) Cited by
Citation: He, X., and L. Ren
(2005),
Finite volume multiscale finite element method for solving the groundwater flow problems in heterogeneous porous media,
Water Resour. Res.,
41,
W10417,
doi:10.1029/2004WR003934.
Copyright 2005 by the American Geophysical Union.
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