Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/18749

Title: Coupling free and porous-media flows: models and numerical approximation
Authors: Discacciati, Marco
Keywords: Navier-Stokes equations
Darcy's law
Iterface conditions
Domain decomposition
Finite elements method
Issue Date: 2013
Publisher: De Gruyter
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
Abstract: 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.
Description: This paper is closed access.
Sponsor: The support of the Marie Curie Project PCIG09-GA-2011-294229 “HeViCo – Virtual control methods for coupling heterogeneous problems” is kindly acknowledged.
Version: Accepted for publication
DOI: 10.1515/9783110282245.107
URI: https://dspace.lboro.ac.uk/2134/18749
Publisher Link: http://dx.doi.org/10.1515/9783110282245.107
ISBN: 9783110282214
Appears in Collections:Closed Access (Maths)

Files associated with this item:

File Description SizeFormat
D_DeGruyter_2013.pdfAccepted version244.42 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.