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Analytic solution for a higher-order lattice Boltzmann method: slip velocity and Knudsen layer.

作者信息

Kim Seung Hyun, Pitsch Heinz

机构信息

Department of Mechanical Engineering, Stanford University, California 94305-3035, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jul;78(1 Pt 2):016702. doi: 10.1103/PhysRevE.78.016702. Epub 2008 Jul 17.

DOI:10.1103/PhysRevE.78.016702
PMID:18764076
Abstract

We present the analysis of a higher-order lattice Boltzmann (LB) method based on the fourth-order Gauss-Hermite quadrature, with emphasis on the slip velocity and the Knudsen layer. The exact solution of the slip velocity for the higher-order LB equation is obtained for Poiseuille flows with finite Knudsen numbers. Due to increased accuracy in velocity space discretization, the higher-order scheme gives much improved slip coefficients as compared with the standard LB method based on the third-order Gauss-Hermite quadrature. A multiple relaxation time model is investigated to show the effects of the relaxation times for higher-order moments on the slip phenomena.

摘要

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