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

✍ Scribed by G. Kanschat; B. Rivière

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
687 KB
Volume
229
Category
Article
ISSN
0021-9991

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✦ Synopsis

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 (X) and we show convergence. Numerical results validate our findings and indicate optimal convergence orders.

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