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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/18748

Title: Mathematical and numerical models for coupling surface and groundwater flows
Authors: Discacciati, Marco
Miglio, Edie
Quarteroni, Alfio
Keywords: Navier–Stokes equations
Darcy's law
Interface conditions
Domain decomposition
Steklov–Poincaré operators
Issue Date: 2002
Publisher: © Elsevier
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.
Abstract: 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.
Description: This paper is closed access.
Version: Closed access
DOI: 10.1016/S0168-9274(02)00125-3
URI: https://dspace.lboro.ac.uk/2134/18748
Publisher Link: http://dx.doi.org/10.1016/S0168-9274(02)00125-3
ISSN: 1873-5460
Appears in Collections:Closed Access (Maths)

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