Issue
EPL
Volume 83, Number 4, August 2008
Article Number 40008
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/83/40008
Published online 19 August 2008
EPL, 83 (2008) 40008
DOI: 10.1209/0295-5075/83/40008

Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows

G. H. Tang1, Y. H. Zhang2, X. J. Gu1 and D. R. Emerson1

1  Computational Science and Engineering Department, Daresbury Laboratory - Warrington, WA4 4AD, UK
2  Department of Mechanical Engineering, University of Strathclyde - Glasgow, G1 1XJ, UK

g.tang@dl.ac.uk
yonghao.zhang@strath.ac.uk

received 6 March 2008; accepted in final form 5 July 2008; published August 2008
published online 19 August 2008

Abstract
Due to its intrinsically kinetic nature, lattice Boltzmann (LB) approach to simulating non-equilibrium gas flows has recently attracted significant research interest. Compared with other kinetic methods, it can offer a significantly smaller computational cost. To capture the nonlinear high-order rarefaction phenomena in gas flows, a geometry-dependent gas local mean free path has been proposed to be implemented in our "high-order" LB model. A series of tests on rarefaction effects and the Knudsen layer interference have been carried out and the simulation results demonstrate our LB model's capability for highly non-equilibrium flows.

PACS
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.
47.45.-n - Rarefied gas dynamics.
47.11.-j - Computational methods in fluid dynamics.

© EPLA 2008