Geodesic
A finite volume method for density driven flows in porous media
Danielle Hilhorst1 ; Huy Cuong Vu Do2 ; Yushan Wang3
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) 
ESAIM. Proceedings, Tome 38 (2012), pp. 376-386.

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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.
DOI : 10.1051/proc/201238021

Danielle Hilhorst 1 ; Huy Cuong Vu Do 2 ; Yushan Wang 3

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)  
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     title = {A finite volume method for density driven flows in porous media},
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Danielle Hilhorst; Huy Cuong Vu Do; Yushan Wang. A finite volume method for density driven flows in porous media. ESAIM. Proceedings, Tome 38 (2012), pp. 376-386. doi : 10.1051/proc/201238021. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238021/

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