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