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Incompressible Mrt Lattice Boltzmann Model With Eight Velocities In 2d Space

Author

Listed:
  • RUI DU

    (State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China)

  • BAOCHANG SHI

    (School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

In this paper a two-dimensional-eight-velocity lattice Boltzmann model with multi-relaxation-time is proposed for incompressible flows, in which the equilibria in the momentum space are derived from an earlier incompressible lattice Boltzmann model with single relaxation time. Through the Chapman–Enskog expansion, the incompressible Navier–Stokes equations can be recovered. Numerical tests, including the steady Poiseuille flow, the double shear flow and the driven cavity flow, have been carried out to verify the present model. The numerical results agree well with the analytical solutions or the existing results, and it is found that the present model exhibits much better numerical stability than the single relaxation time model.

Suggested Citation

  • Rui Du & Baochang Shi, 2009. "Incompressible Mrt Lattice Boltzmann Model With Eight Velocities In 2d Space," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(07), pages 1023-1037.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:07:n:s0129183109014163
    DOI: 10.1142/S0129183109014163
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    Cited by:

    1. Liu, Qing & He, Ya-Ling, 2015. "Multiple-relaxation-time lattice Boltzmann modeling of incompressible flows in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 215-230.

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