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Navier-Stokes/Forchheimer models for filtration through porous media

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journal contribution
posted on 11.09.2015, 14:01 by Flavio Cimolin, Marco DiscacciatiMarco Discacciati
Modeling the filtration of incompressible fluids through porous media requires dealing with different types of partial differential equations in the fluid and porous subregions of the computational domain. Such equations must be coupled through physically significant continuity conditions at the interface separating the two subdomains. To avoid the difficulties of this heterogeneous approach, a widely used strategy is to consider the Navier–Stokes equations in the whole domain and to correct them introducing suitable terms that mimic the presence of the porous medium. In this paper we discuss these two different methodologies and we compare them numerically on a sample test case after proposing an iterative algorithm to solve a Navier–Stokes/Forchheimer problem. Finally, we apply these strategies to a problem of internal ventilation of motorbike helmets.

Funding

The second author acknowledges the partial support of the Marie Curie Career Integration Grant 2011-294229 within the 7th European Community Framework Programme.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Applied Numerical Mathematics

Volume

72

Pages

205 - 224

Citation

CIMOLIN, F. and DISCACCIATI, M., 2013. Navier-Stokes/Forchheimer models for filtration through porous media. Applied Numerical Mathematics, 72, pp. 205 - 224.

Publisher

© IMACS. Published by Elsevier B.V.

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2013

Notes

This article was published in the journal Applied Numerical Mathematics and the definitive version is available at: http://dx.doi.org/10.1016/j.apnum.2013.07.001

ISSN

1873-5460

Language

en