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Journal of Scientific Computing

Erschienen in:

09.03.2018

A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow

verfasst von: Guosheng Fu, Christoph Lehrenfeld

Erschienen in: Journal of Scientific Computing | Ausgabe 3/2018

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Abstract

We consider the coupling of free and porous media flow governed by Stokes and Darcy equations with the Beavers–Joseph–Saffman interface condition. This model is discretized using a divergence-conforming finite element for the velocities in the whole domain. Hybrid discontinuous Galerkin techniques and mixed methods are used in the Stokes and Darcy subdomains, respectively. The discretization achieves mass conservation in the sense of \(H(\mathrm {div},\Omega )\), and we obtain optimal velocity convergence. Numerical results are presented to validate the theoretical findings.

Vorheriger Artikel Hybridized Discontinuous Galerkin Methods for Wave Propagation

Nächster Artikel Globally Divergence-Free Discontinuous Galerkin Methods for Ideal Magnetohydrodynamic Equations

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Titel: A Strongly Conservative Hybrid DG/Mixed FEM for the Coupling of Stokes and Darcy Flow
verfasst von: Guosheng Fu
Christoph Lehrenfeld
Publikationsdatum: 09.03.2018
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 3/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-018-0691-0

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