A strongly conservative finite element method for the coupling of Stokes and Darcy flow
KAUST Grant NumberKUS-CI-016-04
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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.
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.
SponsorsSupported 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
JournalJournal of Computational Physics