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Large Scale Lattice Boltzmann Simulation for the Coupling of Free and Porous Media Flow

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High Performance Computing in Science and Engineering (HPCSE 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9611))

Abstract

In this work, we investigate the interaction of free and porous media flow by large scale lattice Boltzmann simulations. We study the transport phenomena at the porous interface on multiple scales, i.e., we consider both, computationally generated pore-scale geometries and homogenized models at a macroscopic scale. The pore-scale results are compared to those obtained by using different transmission models. Two-domain approaches with sharp interface conditions, e.g., of Beavers–Joseph–Saffman type, as well as a single-domain approach with a porosity depending viscosity are taken into account. For the pore-scale simulations, we use a highly scalable scheme with a robust second order boundary handling. We comment on computational aspects of the pore-scale simulation and on how to generate pore-scale geometries. The two-domain approaches depend sensitively on the choice of the exact position of the interface, whereas a well-designed single-domain approach can lead to a significantly better recovery of the averaged pore-scale results.

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Notes

  1. 1.

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Acknowledgement

Financial support from the German Research Foundation (DFG, Project WO 671/11-1) and also the International Graduate School of Science and Engineering (IGSSE) of the Technische Universität München for research training group 6.03 are gratefully acknowledged. Our special thank goes to Regina Ammer for fruitful discussions and the waLBerla primary authors Florian Schornbaum, Christian Godenschwager and Martin Bauer for their essential help with implementing the code.

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Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität München, Munich, Germany

    Ehsan Fattahi, Christian Waluga, Barbara Wohlmuth & Ulrich Rüde

Authors
  1. Ehsan Fattahi
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  2. Christian Waluga
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  3. Barbara Wohlmuth
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  4. Ulrich Rüde
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Corresponding author

Correspondence to Ulrich Rüde .

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Editors and Affiliations

  1. VSB - Technical University of Ostrava, Ostrava, Czech Republic

    Tomáš Kozubek

  2. Institute of Geonics of the CAS, Ostrava, Czech Republic

    Radim Blaheta

  3. Institute of Mathematics of the CAS, Prague, Czech Republic

    Jakub Šístek

  4. Institute of Computer Science of the CAS, Prague, Czech Republic

    Miroslav Rozložník

  5. VSB - Technical University of Ostrava, Ostrava, Czech Republic

    Martin Čermák

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Fattahi, E., Waluga, C., Wohlmuth, B., Rüde, U. (2016). Large Scale Lattice Boltzmann Simulation for the Coupling of Free and Porous Media Flow. In: Kozubek, T., Blaheta, R., Šístek, J., Rozložník, M., Čermák, M. (eds) High Performance Computing in Science and Engineering. HPCSE 2015. Lecture Notes in Computer Science(), vol 9611. Springer, Cham. https://doi.org/10.1007/978-3-319-40361-8_1

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  • DOI: https://doi.org/10.1007/978-3-319-40361-8_1

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  • Online ISBN: 978-3-319-40361-8

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