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Partitioned Coupling Schemes for Free-Flow and Porous-Media Applications with Sharp Interfaces

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Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (FVCA 2020)

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Abstract

We investigate a partitioned coupling scheme applied to a system of free flow over a porous medium. The coupling scheme follows a partitioned approach which means that the flow fields in the two domains are solved separately and information is exchanged over the sharp interface that separates the free-flow and the porous-medium domain. Technically, the coupling is realized via the open-source library preCICE, employing a pure black-box approach such that different solver frameworks can be used with highly specialized solvers in each of the flow domains. We investigate the partitioned coupling approach numerically by comparing it to a monolithic coupling scheme with respect to convergence and accuracy. This is the first time a partitioned black-box coupling is used for coupling free flow and porous-media flow. The coupling approach is numerically validated and different partitioned coupling approaches are compared with each other.

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Acknowledgements

This work has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project Number 327154368—SFB 1313.

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Authors and Affiliations

  1. Institute for Parallel and Distributed Systems, University of Stuttgart, Universitätsstraße 38, 70569, Stuttgart, Germany

    Alexander Jaust & Miriam Mehl

  2. Institute for Modelling Hydraulic and Environmental Systems, University of Stuttgart, Pfaffenwaldring 61, 70569, Stuttgart, Germany

    Kilian Weishaupt & Bernd Flemisch

Authors
  1. Alexander Jaust
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  2. Kilian Weishaupt
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  3. Miriam Mehl
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  4. Bernd Flemisch
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Corresponding author

Correspondence to Alexander Jaust .

Editor information

Editors and Affiliations

  1. NORCE Norwegian Research Centre AS, Bergen, Norway

    Robert Klöfkorn

  2. Department of Mathematics, University of Bergen, Bergen, Norway

    Eirik Keilegavlen

  3. Department of Mathematics, University of Bergen, Bergen, Norway

    Florin A. Radu

  4. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Jürgen Fuhrmann

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Jaust, A., Weishaupt, K., Mehl, M., Flemisch, B. (2020). Partitioned Coupling Schemes for Free-Flow and Porous-Media Applications with Sharp Interfaces. In: Klöfkorn, R., Keilegavlen, E., Radu, F.A., Fuhrmann, J. (eds) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. FVCA 2020. Springer Proceedings in Mathematics & Statistics, vol 323. Springer, Cham. https://doi.org/10.1007/978-3-030-43651-3_57

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