Numerical analysis of a SUSHI scheme for an elliptic-parabolic system modeling miscible fluid flows in porous media
DOI:
https://doi.org/10.13052/ejcm2642-2085.2855Keywords:
Porous media, nonconforming grids, finite volume schemes, SUSHI, convergence analysisAbstract
In this paper, we prove the convergence of a schema using stabilisation and hybrid interfaces of 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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