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

Autor: Raphaèle Herbin, Robert Eymard, Philippe Montarnal, Nicolas Bouillard
Rok vydání: 2007
Předmět:
Zdroj: ESAIM: Mathematical Modelling and Numerical Analysis. 41:975-1000
ISSN: 1290-3841
0764-583X
DOI: 10.1051/m2an:2007047
Popis: 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.
Databáze: OpenAIRE
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