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Mathematical and numerical models for coupling surface and groundwater flows

journal contribution
posted on 14.09.2015, 15:38 by Marco DiscacciatiMarco Discacciati, Edie Miglio, Alfio Quarteroni
In this paper we present some results about the coupling of Navier–Stokes and Shallow Water equations for surface flows and Darcy's equation for groundwater flows. We discuss suitable interface conditions and show the well-posedness of the coupled problem in the case of a linear Stokes problem. An iterative method to compute the solution is proposed. At each step this method requires the solution of one problem in the fluid part and one in the porous medium. Finally we introduce the Steklov–Poincaré equation associated to the coupled problem.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Applied Numerical Mathematics

Volume

43

Pages

57 - 74

Citation

DISCACCIATI, M., MIGLIO, E. and QUARTERONI, A., 2002. Mathematical and numerical models for coupling surface and groundwater flows. Applied Numerical Mathematics, 43 (1-2), pp.57-74.

Publisher

© Elsevier

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

2002

Notes

This paper is closed access.

ISSN

1873-5460

Language

en