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Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models

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  • Sébastien Leclaire

    (Department of Computer Science, University of Geneva, 7 route de Drize, Carouge 1227, Switzerland2Department of Chemical Engineering, Polytechnique Montréal, 2500 Chemin de Polytechnique, Montreal H3T 1J4, Canada)

  • Andrea Parmigiani

    (Department of Earth Sciences, Institute of Geochemistry and Petrology, ETH Zurich, Clausiusstrasse 25, Zürich 8092, Switzerland)

  • Bastien Chopard

    (Department of Computer Science, University of Geneva, 7 route de Drize, Carouge 1227, Switzerland)

  • Jonas Latt

    (Department of Computer Science, University of Geneva, 7 route de Drize, Carouge 1227, Switzerland4FlowKit Sàrl, Route d’Oron 2, Lausanne 1010, Switzerland)

Abstract

In this paper, a lattice Boltzmann color-gradient method is compared with a multi-component pseudo-potential lattice Boltzmann model for two test problems: a droplet deformation in a shear flow and a rising bubble subject to buoyancy forces. With the help of these two problems, the behavior of the two models is compared in situations of competing viscous, capillary and gravity forces. It is found that both models are able to generate relevant scientific results. However, while the color-gradient model is more complex than the pseudo-potential approach, numerical experiments show that it is also more powerful and suffers fewer limitations.

Suggested Citation

  • Sébastien Leclaire & Andrea Parmigiani & Bastien Chopard & Jonas Latt, 2017. "Three-dimensional lattice Boltzmann method benchmarks between color-gradient and pseudo-potential immiscible multi-component models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(07), pages 1-30, July.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:07:n:s0129183117500851
    DOI: 10.1142/S0129183117500851
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    References listed on IDEAS

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    1. Leclaire, Sébastien & Pellerin, Nicolas & Reggio, Marcelo & Trépanier, Jean-Yves, 2014. "Multiphase flow modeling of spinodal decomposition based on the cascaded lattice Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 307-319.
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