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    A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows

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    TaoZhang_A Compact.pdf
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    Type
    Conference Paper
    Authors
    Zhang, Tao
    Sun, Shuyu
    KAUST Department
    Computational Transport Phenomena Lab
    Date
    2018-06-12
    Online Publication Date
    2018-06-12
    Print Publication Date
    2018
    Permanent link to this record
    http://hdl.handle.net/10754/628322
    
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    Abstract
    A coupled LBGK scheme, constituting of two independent distribution functions describing velocity and temperature respectively, is established in this paper. Chapman-Enskog expansion, a procedure to prove the consistency of this mesoscopic method with macroscopic conservation laws, is also conducted for both lattice scheme of velocity and temperature, as well as a simple introduction on the common used DnQb model. An efficient coding manner for Matlab is proposed in this paper, which improves the coding and calculation efficiency at the same time. The compact and efficient scheme is then applied in the simulation of the famous and well-studied Rayleigh-Benard convection, which is common seen as a representative heat convection problem in modern industries. The results are interesting and reasonable, and meet the experimental data well. The stability of this scheme is also proved through different cases with a large range of Rayleigh number, until 2 million.
    Citation
    Zhang T, Sun S (2018) A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows. Computational Science – ICCS 2018: 149–162. Available: http://dx.doi.org/10.1007/978-3-319-93713-7_12.
    Publisher
    Springer Nature
    Journal
    Computational Science – ICCS 2018
    Conference/Event name
    18th International Conference on Computational Science, ICCS 2018
    DOI
    10.1007/978-3-319-93713-7_12
    Additional Links
    https://link.springer.com/chapter/10.1007%2F978-3-319-93713-7_12
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-319-93713-7_12
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