Navier-Stokes/Forchheimer models for filtration through porous media
journal contributionposted on 2015-09-11, 14:01 authored 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.
The second author acknowledges the partial support of the Marie Curie Career Integration Grant 2011-294229 within the 7th European Community Framework Programme.
- Mathematical Sciences
Published inApplied Numerical Mathematics
Pages205 - 224
CitationCIMOLIN, 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.
- AM (Accepted Manuscript)
Publisher statementThis 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/
NotesThis 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