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Numerical analysis of the Navier-Stokes/Darcy coupling

journal contribution
posted on 2015-09-11, 14:35 authored by Lori Badea, Marco DiscacciatiMarco Discacciati, Alfio Quarteroni
We consider a differential system based on the coupling of the Navier– Stokes and Darcy equations for modeling the interaction between surface and porous-media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) Steklov–Poincaré operators, and we prove its well-posedness. We propose and analyze iterative methods to solve a conforming finite element approximation of the coupled problem.

Funding

The first author acknowledges the financial support from the program SCOPES n. IB7320–110721 and from IACS, EPFL. The other authors acknowledge the support of the FNS Project n. 200020–117587 “Interface operators and solutions algorithms for fluid–structure interaction problems with applications”. The second author acknowledges also the Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, for partially supporting this research. Finally, the third author acknowledges also the financial support from the program Cofin MIUR PRIN 2007 n. 200774A7LH_001 “Mathematical and numerical modelling for cardiovascular and fluid dynamics applications”.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Numerische Mathematik

Volume

115

Issue

2

Pages

195 - 227

Citation

BADEA, L., DISCACCIATI, M. and QUARTERONI, A., 2010. Numerical analysis of the Navier-Stokes/Darcy coupling. Numerische Mathematik, 115 (2), pp. 195 - 227.

Publisher

© Springer Verlag

Version

  • VoR (Version of Record)

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

2010

Notes

This article is closed access.

DOI

ISSN

0945-3245

Publisher version

Language

  • en

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    Loughborough Publications

    Categories

    Keywords

    untaggedMathematical Sciences not elsewhere classified

    Licence

    CC BY-NC-ND 4.0

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