A strongly conservative finite element method for the coupling of Stokes and Darcy flow

Handle URI:
http://hdl.handle.net/10754/597415
Title:
A strongly conservative finite element method for the coupling of Stokes and Darcy flow
Authors:
Kanschat, G.; Rivière, B.
Abstract:
We consider a model of coupled free and porous media flow governed by Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition. This model is discretized using divergence-conforming finite elements for the velocities in the whole domain. Discontinuous Galerkin techniques and mixed methods are used in the Stokes and Darcy subdomains, respectively. This discretization is strongly conservative in Hdiv(Ω) and we show convergence. Numerical results validate our findings and indicate optimal convergence orders. © 2010 Elsevier Inc.
Citation:
Kanschat G, Rivière B (2010) A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Journal of Computational Physics 229: 5933–5943. Available: http://dx.doi.org/10.1016/j.jcp.2010.04.021.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
KAUST Grant Number:
KUS-CI-016-04
Issue Date:
Aug-2010
DOI:
10.1016/j.jcp.2010.04.021
Type:
Article
ISSN:
0021-9991
Sponsors:
Supported in part by the National Science Foundation through Grant Nos DMS-0713829 and DMS-0810387 and by the King Abdullah University of Science and Technology (KAUST) through Award No KUS-CI-016-04Supported in part by the National Science Foundation through Grant No DMS-0810422
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorKanschat, G.en
dc.contributor.authorRivière, B.en
dc.date.accessioned2016-02-25T12:32:46Zen
dc.date.available2016-02-25T12:32:46Zen
dc.date.issued2010-08en
dc.identifier.citationKanschat G, Rivière B (2010) A strongly conservative finite element method for the coupling of Stokes and Darcy flow. Journal of Computational Physics 229: 5933–5943. Available: http://dx.doi.org/10.1016/j.jcp.2010.04.021.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2010.04.021en
dc.identifier.urihttp://hdl.handle.net/10754/597415en
dc.description.abstractWe consider a model of coupled free and porous media flow governed by Stokes and Darcy equations with the Beavers-Joseph-Saffman interface condition. This model is discretized using divergence-conforming finite elements for the velocities in the whole domain. Discontinuous Galerkin techniques and mixed methods are used in the Stokes and Darcy subdomains, respectively. This discretization is strongly conservative in Hdiv(Ω) and we show convergence. Numerical results validate our findings and indicate optimal convergence orders. © 2010 Elsevier Inc.en
dc.description.sponsorshipSupported in part by the National Science Foundation through Grant Nos DMS-0713829 and DMS-0810387 and by the King Abdullah University of Science and Technology (KAUST) through Award No KUS-CI-016-04Supported in part by the National Science Foundation through Grant No DMS-0810422en
dc.publisherElsevier BVen
dc.subjectBeavers-Joseph-Saffman conditionen
dc.subjectDarcy flowen
dc.subjectDiscontinuous Galerkinen
dc.subjectFinite element methoden
dc.subjectMixed finite elementsen
dc.subjectMultiphysicsen
dc.subjectStokes flowen
dc.titleA strongly conservative finite element method for the coupling of Stokes and Darcy flowen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
dc.contributor.institutionRice University, Houston, United Statesen
kaust.grant.numberKUS-CI-016-04en
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