Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media

被引:10
作者
Amaziane, Brahim [1 ]
El Ossmani, Mustapha [1 ]
Serres, Christophe [2 ]
机构
[1] Univ Pau & Pays Adour, Lab Math Appl, CNRS, UMR 5142, F-64000 Pau, France
[2] Inst Radioprotect & Surete Nucl, DSU SSiAD, F-92262 Fontenay Aux Roses, France
关键词
Flow; Transport; Finite volume method; Mixed hybrid finite element; Nuclear waste; Porous media; 35K57; 65M60; 74S10; 76S05; 76R99; 81T80;
D O I
10.1007/s10596-008-9083-0
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper is concerned with numerical methods for the modeling of flow and transport of contaminant in porous media. The numerical methods feature the mixed finite element method over triangles as a solver to the Darcy flow equation and a conservative finite volume scheme for the concentration equation. The convective term is approximated with a Godunov scheme over the dual finite volume mesh, whereas the diffusion-dispersion term is discretized by piecewise linear conforming triangular finite elements. It is shown that the scheme satisfies a discrete maximum principle. Numerical examples demonstrate the effectiveness of the methodology for a coupled system that includes an elliptic equation and a diffusion-convection-reaction equation arising when modeling flow and transport in heterogeneous porous media. The proposed scheme is robust, conservative, efficient, and stable, as confirmed by numerical simulations.
引用
收藏
页码:437 / 449
页数:13
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