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Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows

Meng, Jian-Ping and Zhang, Yonghao (2011) Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 83 (3). Article 036704. ISSN 1063-651X

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    Abstract

    Recently, kinetic theory-based lattice Boltzmann (LB) models have been developed to model nonequilibrium gas flows. Depending on the order of quadratures, a hierarchy of LB models can be constructed which we have previously shown to capture rarefaction effects in the standing-shearwave problems. Here, we further examine the capability of high-order LB models in modeling nonequilibrium flows considering gas and surface interactions and their effect on the bulk flow. The Maxwellian gas and surface interaction model, which has been commonly used in other kinetic methods including the direct simulation Monte Carlo method, is used in the LB simulations. In general, the LB models with high-order Gauss-Hermite quadratures can capture flow characteristics in the Knudsen layer and higher order quadratures give more accurate prediction. However, for the Gauss-Hermite quadratures, the present simulation results show that the LB models with the quadratures obtained from the even-order Hermite polynomials perform significantly better than those from the odd-order polynomials. This may be attributed to the zero-velocity component in the odd-order discrete set, which does not participate in wall and gas collisions, and thus underestimates the wall effect.

    Item type: Article
    ID code: 29473
    Notes: Impact Factor 2.400, Half-Life 6.7
    Keywords: high-order lattice Boltzmann models, nonequilibrium gas flows, Gauss-Hermite quadratures , even-order Hermite polynomials , Mechanical engineering and machinery, Plasma physics. Ionized gases, Mechanical Engineering, Computational Mechanics, Modelling and Simulation
    Subjects: Technology > Mechanical engineering and machinery
    Science > Physics > Plasma physics. Ionized gases
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
    Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 14 Mar 2011 16:53
    Last modified: 27 Mar 2014 11:06
    URI: http://strathprints.strath.ac.uk/id/eprint/29473

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