Volume 17, Issue 4
A Finite-Difference Lattice Boltzmann Approach for Gas Microflows

G. P. Ghiroldi and L. Gibelli

10.4208/cicp.2014.m424

Commun. Comput. Phys., 17 (2015), pp. 1007-1018.

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  • Abstract

Finite-difference Lattice Boltzmann (LB) models are proposed for simulating gas flows in devices with microscale geometries. The models employ the roots of half-range Gauss-Hermite polynomials as discrete velocities. Unlike the standard LB velocity-space discretizations based on the roots of full-range Hermite polynomials, using the nodes of a quadrature defined in the half-space permits a consistent treatment of kinetic boundary conditions. The possibilities of the proposed LB models are illustrated by studying the one-dimensional Couette flow and the two-dimensional square driven cavity flow. Numerical and analytical results show an improved accuracy in finite Knudsen flows as compared with standard LB models.

  • History

Published online: 2018-04

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