Europhys. Lett.
Volume 67, Number 4, August 2004
Page(s) 600 - 606
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 01 August 2004
Europhys. Lett., 67 (4), pp. 600-606 (2004)
DOI: 10.1209/epl/i2003-10307-8

A lattice Boltzmann BGK model for simulation of micro flows

X. D. Niu, C. Shu and Y. T. Chew

Department of Mechanical Engineering, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260

(Received 4 August 2003; accepted in final form 14 June 2004)

We propose a lattice Boltzmann BGK model for simulation of micro flows. This model is based on the kinetic theory and the entropic lattice Boltzmann method (S. Ansumali and I. V. Karlin, J. Stat. Phys. 107 (2002) 291) but the relaxation time is re-defined in terms of the Knudsen number, and a diffuse-scattering boundary condition (DSBC) is adopted to consider the velocity slip at the wall. Simple theoretical analysis and numerical validation show that the proposed model gives good predictions of the micro fluidic behaviors.

47.45.-n - Rarefied gas dynamics.

© EDP Sciences 2004