title: Analytic solution for a higher-order lattice Boltzmann method: slip velocity and Knudsen layer.
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.
authors.affiliation: Department of Mechanical Engineering, Stanford University, California 94305-3035, USA. shkcomb@stanford.edu
authors.forename: Seung Hyun
authors.initials: SH
authors.lastname: Kim
authors.forename: Heinz
authors.initials: H
authors.lastname: Pitsch