On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media

Handle URI:
http://hdl.handle.net/10754/599047
Title:
On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media
Authors:
Girault, V.; Kanschat, G.; Rivière, B.
Abstract:
In this chapter, we present the theoretical analysis of coupled incompressible Navier-Stokes (or Stokes) flows and Darcy flows with the Beavers-Joseph-Saffman interface condition. We discuss alternative interface and porous media models. We review some finite element methods used by several authors in this coupling and present numerical experiments.
Citation:
Girault V, Kanschat G, Rivière B (2012) On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media. Springer Proceedings in Mathematics & Statistics: 1–25. Available: http://dx.doi.org/10.1007/978-1-4614-5055-9_1.
Publisher:
Springer Science + Business Media
Journal:
Modelling and Simulation in Fluid Dynamics in Porous Media
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
3-Nov-2012
DOI:
10.1007/978-1-4614-5055-9_1
Type:
Book Chapter
ISSN:
2194-1009; 2194-1017
Sponsors:
The first author acknowledges support from the UT Austin/Portugal Collaboration, Project: UT Austin/MAT/0066/2008 “Reaction-Diffusion in Porous Media.” The second author acknowledges support by NSF grant no. DMS–0810387 and by KAUST award no. KUS-C1-016-04. The third author acknowledges support from NSF with the grant DMS 0810422.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGirault, V.en
dc.contributor.authorKanschat, G.en
dc.contributor.authorRivière, B.en
dc.date.accessioned2016-02-25T13:51:50Zen
dc.date.available2016-02-25T13:51:50Zen
dc.date.issued2012-11-03en
dc.identifier.citationGirault V, Kanschat G, Rivière B (2012) On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media. Springer Proceedings in Mathematics & Statistics: 1–25. Available: http://dx.doi.org/10.1007/978-1-4614-5055-9_1.en
dc.identifier.issn2194-1009en
dc.identifier.issn2194-1017en
dc.identifier.doi10.1007/978-1-4614-5055-9_1en
dc.identifier.urihttp://hdl.handle.net/10754/599047en
dc.description.abstractIn this chapter, we present the theoretical analysis of coupled incompressible Navier-Stokes (or Stokes) flows and Darcy flows with the Beavers-Joseph-Saffman interface condition. We discuss alternative interface and porous media models. We review some finite element methods used by several authors in this coupling and present numerical experiments.en
dc.description.sponsorshipThe first author acknowledges support from the UT Austin/Portugal Collaboration, Project: UT Austin/MAT/0066/2008 “Reaction-Diffusion in Porous Media.” The second author acknowledges support by NSF grant no. DMS–0810387 and by KAUST award no. KUS-C1-016-04. The third author acknowledges support from NSF with the grant DMS 0810422.en
dc.publisherSpringer Science + Business Mediaen
dc.titleOn the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Mediaen
dc.typeBook Chapteren
dc.identifier.journalModelling and Simulation in Fluid Dynamics in Porous Mediaen
dc.contributor.institutionUniversite Pierre et Marie Curie, Paris, Franceen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionRice University, Houston, United Statesen
kaust.grant.numberKUS-C1-016-04en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.