Analytical Solution for the Lattice Boltzmann Model Beyond Naviers-Stokes

Analytical Solution for the Lattice Boltzmann Model Beyond Naviers-Stokes

Year:    2010

Author:    Jianping Meng, Yonghao Zhang

Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 5 : pp. 670–676

Abstract

To understand lattice Boltzmann model capability for capturing non-equilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-10S09

Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 5 : pp. 670–676

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:   

Author Details

Jianping Meng

Yonghao Zhang