Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model

被引:16
|
作者
Bouillard, Nicolas [2 ]
Eymard, Robert [3 ]
Herbin, Raphaele [1 ]
Montarnal, Philippe [1 ]
机构
[1] Univ Aix Marseille 1, LATP, UMR 6632, F-13453 Marseille, France
[2] CEA Saclay, DM2S SFME MTMS, Gif Sur Yvette, France
[3] Univ Paris 12, Champs sur Marne, France
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2007年 / 41卷 / 06期
关键词
diffusion; dissolution; precipitation; kinetics; finite volume method;
D O I
10.1051/m2an:2007047
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Modeling the kinetics of a precipitation dissolution reaction occurring in a porous medium where diffusion also takes place leads to a system of two parabolic equations and one ordinary differential equation coupled with a stiff reaction term. This system is discretized by a finite volume scheme which is suitable for the approximation of the discontinuous reaction term of unknown sign. Discrete solutions are shown to exist and converge towards a weak solution of the continuous problem. Uniqueness is proved under a Lipschitz condition on the equilibrium gap function. Numerical tests are shown which prove the efficiency of the scheme.
引用
收藏
页码:975 / 1000
页数:26
相关论文
共 50 条