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Coupling free and porous-media flows: models and numerical approximation

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posted on 15.09.2015, 08:44 by Marco DiscacciatiMarco Discacciati
In this paper we provide an overview of mathematical and numerical models for the coupling of the Navier-Stokes and the Darcy equations to describe the filtration of incompressible flows through porous media. After introducing suitable interface conditions, we set up the coupled problem and, using domain decomposition techniques, we present possible algorithms to compute its finite element approximation through the independent solution of the Navier-Stokes and of the Darcy equations in their respective subdomains. Keywords. Navier-Stokes equations, Darcy’s law, interface conditions, domain decomposition, finite elements method.

Funding

The support of the Marie Curie Project PCIG09-GA-2011-294229 “HeViCo – Virtual control methods for coupling heterogeneous problems” is kindly acknowledged.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Simulation of Flow in Porous Media. Applications in Energy and Environment Radon Series on Computational and Applied Mathematics

Volume

12

Pages

107 - 138

Citation

DISCACCIATI, M., 2013. Coupling free and porous-media flows: models and numerical approximation. IN: Bastian, P. ... et al (eds). Simulation of Flow in Porous Media: Applications in Energy and Environment. Berlin: De Gruyter, pp.107-138

Publisher

De Gruyter

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 paper is closed access.

ISBN

9783110282214

Language

en