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

G. Kanschat, B. Rivière

Research output: Contribution to journalArticlepeer-review

127 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)5933-5943
Number of pages11
JournalJournal of Computational Physics
Volume229
Issue number17
DOIs
StatePublished - Aug 2010
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-CI-016-04
Acknowledgements: 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
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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