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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Kanschat, G.¹  Riviere, B.² 

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

关键词: Stokes flow;    Darcy flow;    Beavers-Joseph-Saffman condition;    Finite element method;    Mixed finite elements;    Discontinuous Galerkin;    Multiphysics;   

DOI  :  10.1016/j.jcp.2010.04.021

来源: Elsevier

【 摘 要 】

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 H-div(Omega) and we show convergence Numerical results validate our findings and indicate optimal convergence orders. (C) 2010 Elsevier Inc All rights reserved.

【 授权许可】

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