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Hybrid LBM-MRT model coupled with finite difference method for double-diffusive mixed convection in rectangular enclosure with insulated moving lid

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  • Bettaibi, Soufiene
  • Kuznik, Frédéric
  • Sediki, Ezeddine

Abstract

This paper presents a numerical study of thermosolutal mixed convection in rectangular enclosure with sliding top lid. The fluid flow is solved by the multiple relaxation time (MRT) lattice Boltzmann method (LBM), whereas the temperature and concentration fields are computed by finite difference method (FDM). The main objective of this study is to investigate the accuracy and the effectiveness of such model to predict thermodynamics for heat and mass transfer in a driven cavity. This model is validated with different numerical methods in the current literature. A good agreement is obtained between our results and previous works. The different comparisons demonstrate the robustness and the accuracy of the proposed approach.

Suggested Citation

  • Bettaibi, Soufiene & Kuznik, Frédéric & Sediki, Ezeddine, 2016. "Hybrid LBM-MRT model coupled with finite difference method for double-diffusive mixed convection in rectangular enclosure with insulated moving lid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 311-326.
  • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:311-326
    DOI: 10.1016/j.physa.2015.10.029
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    References listed on IDEAS

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    1. Jami, Mohammed & Mezrhab, Ahmed & Bouzidi, M’hamed & Lallemand, Pierre, 2006. "Lattice-Boltzmann computation of natural convection in a partitioned enclosure with inclined partitions attached to its hot wall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 481-494.
    2. Brownlee, R.A. & Gorban, A.N. & Levesley, J., 2008. "Nonequilibrium entropy limiters in lattice Boltzmann methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 385-406.
    3. Lamura, A & Succi, S, 2003. "Lattice Boltzmann model with hierarchical interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 477-484.
    4. Alessandro De Rosis, 2014. "Fluid Forces Enhance the Performance of an Aspirant Leader in Self-Organized Living Groups," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-18, December.
    5. Succi, S., 1997. "Lattice Boltzmann equation: Failure or success?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(1), pages 221-228.
    6. Gorban, A.N. & Packwood, D.J., 2014. "Enhancement of the stability of lattice Boltzmann methods by dissipation control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 285-299.
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    Cited by:

    1. Li, Chengwu & Zhao, Yuechao & Ai, Dihao & Wang, Qifei & Peng, Zhigao & Li, Yingjun, 2020. "Multi-component LBM-LES model of the air and methane flow in tunnels and its validation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).

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