A finite volume method for density driven flows in porous media

A finite volume method for density driven flows in porous media

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 s...

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Main Authors: Hilhorst Danielle, Vu Do Huy Cuong, Wang Yushan
Format: Article
Language:English
Published: EDP Sciences 2013-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201238021
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spelling doaj-136fbe34f0b14cc0a5d8dfa3381992902021-08-02T03:08:32ZengEDP SciencesESAIM: Proceedings and Surveys1270-900X2013-01-013837638610.1051/proc/201238021A finite volume method for density driven flows in porous media Hilhorst DanielleVu Do Huy CuongWang YushanIn 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. dx.doi.org/10.1051/proc/201238021
collection DOAJ
language English
format Article
sources DOAJ
author Hilhorst Danielle
Vu Do Huy Cuong
Wang Yushan
spellingShingle Hilhorst Danielle
Vu Do Huy Cuong
Wang Yushan
A finite volume method for density driven flows in porous media
ESAIM: Proceedings and Surveys
author_facet Hilhorst Danielle
Vu Do Huy Cuong
Wang Yushan
author_sort Hilhorst Danielle
title A finite volume method for density driven flows in porous media
title_short A finite volume method for density driven flows in porous media
title_full A finite volume method for density driven flows in porous media
title_fullStr A finite volume method for density driven flows in porous media
title_full_unstemmed A finite volume method for density driven flows in porous media
title_sort finite volume method for density driven flows in porous media
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 1270-900X
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1051/proc/201238021
work_keys_str_mv AT hilhorstdanielle afinitevolumemethodfordensitydrivenflowsinporousmedia
AT vudohuycuong afinitevolumemethodfordensitydrivenflowsinporousmedia
AT wangyushan afinitevolumemethodfordensitydrivenflowsinporousmedia
AT hilhorstdanielle finitevolumemethodfordensitydrivenflowsinporousmedia
AT vudohuycuong finitevolumemethodfordensitydrivenflowsinporousmedia
AT wangyushan finitevolumemethodfordensitydrivenflowsinporousmedia
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