Applications of Mathematics, Vol. 66, No. 1, pp. 115-143, 2021
The generalized finite volume SUSHI scheme for the discretization of the peaceman model
Mohamed Mandari, Mohamed Rhoudaf, Ouafa Soualhi
Received May 19, 2019. Published online September 15, 2020.
Abstract: We demonstrate some a priori estimates of a scheme using stabilization and hybrid interfaces applying to partial differential equations describing miscible displacement in porous media. This system is made of two coupled equations: an anisotropic diffusion equation on the pressure and a convection-diffusion-dispersion equation on the concentration of invading fluid. The anisotropic diffusion operators in both equations require special care while discretizing by a finite volume method SUSHI. Later, we present some numerical experiments.
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