| Issue |
ESAIM: Proc.
Volume 38, December 2012
CEMRACS’11: Multiscale Coupling of Complex Models in Scientific Computing
|
|
|---|---|---|
| Page(s) | 376 - 386 | |
| DOI | https://doi.org/10.1051/proc/201238021 | |
| Published online | 03 January 2013 | |
A finite volume method for density driven flows in porous media
1
Laboratoire de Mathématiques, CNRS et Université de Paris-Sud (Bâtiment
425)
2
Early Stage Researcher of the European Marie Curie ITN Project
FIRST, Laboratoire de Mathématiques, Université de Paris-Sud (Bâtiment
425)
3
Laboratoire de Recherche en Informatique,
Université de Paris-Sud (Bâtiment
650)
In this paper, we apply a semi-implicit finite volume method for the numerical simulation of density driven flows in porous media; this amounts to solving a nonlinear convection-diffusion parabolic equation for the concentration coupled with an elliptic equation for the pressure. We compute the solutions for two specific problems: a problem involving a rotating interface between salt and fresh water and the classical but difficult Henry’s problem. All solutions are compared to results obtained by running FEflow, a commercial software package for the simulation of groundwater flow, mass and heat transfer in porous media.
© EDP Sciences, SMAI 2012
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