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Numerical analysis of the Navier-Stokes/Darcy coupling

Badea, Lori ; Discacciati, Marco ; Quarteroni, Alfio

In: Numerische Mathematik, 2010, vol. 115, no. 2, p. 195-227

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    Titre
    • Numerical analysis of the Navier-Stokes/Darcy coupling
    Auteur
    • Badea, Lori. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania
    • Discacciati, Marco. Department of Mathematics, Ecole Polytechnique Fédérale de Lausanne, Station 8, 1015, Lausanne, Switzerland
    • Quarteroni, Alfio. Department of Mathematics, Ecole Polytechnique Fédérale de Lausanne, Station 8, 1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Classification
    • Informatique
    Identifiant OAI-PMH
    • oai:doc.rero.ch:310230
    Summary
    We consider a differential system based on the coupling of the Navier-Stokes and Darcy equations for modeling the interaction between surface and porous-media flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) Steklov-Poincaré operators, and we prove its well-posedness. We propose and analyze iterative methods to solve a conforming finite element approximation of the coupled problem