A Finite-Difference Lattice Boltzmann Approach for Gas Microflows. (30th April 2015)

• Record Type: Journal Article
• Authors: Ghiroldi, G. P.; Gibelli, L.
• Is Part Of: Communications in computational physics. Volume 17:Number 4(2015:Apr.)
• Page Start: 1007
• Page End: 1018
• Publication Date: 2015-04-30
• Subjects: Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.2014.m424
• Languages: English
• ISSNs: 1815-2406

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>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.</p> </abstract>