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Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation

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journal contribution
posted on 14.09.2015, 08:56 by Marco Discacciati, Alfio Quarteroni
This paper is an overview of known and new results about the coupling of Navier-Stokes and Darcy equations to model the filtration of incompressible fluids through porous media. We discuss coupling conditions and we analyze the global coupled model in order to prove its well-posedness and to characterize effective algorithms to compute the solution of its numerical approximation.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Revista Matematica Complutense

Volume

22

Issue

2

Pages

315 - 426

Citation

DISCACCIATI, M. and QUARTERONI, A., 2009. Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation. Revista Matematica Complutense, 22 (2), pp.315-426.

Publisher

Servicio de Publicaciones Universidad Complutense (now © Springer)

Version

NA (Not Applicable or Unknown)

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

2009

Notes

The final publication is available at http://www.mat.ucm.es/serv/revmat/vol22-2/vol22-2a.pdf

ISSN

1139-1138

eISSN

1988-2807

Language

en

Exports