INCOMPRESSIBLE MRT LATTICE BOLTZMANN MODEL WITH EIGHT VELOCITIES IN 2D SPACE

Rui Du () and Baochang Shi ()
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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

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 07, 1023-1037

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.

Keywords: Lattice Boltzmann method; multi-relaxation-time; incompressible flow (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014163

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