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A Finite-Difference Lattice Boltzmann Approach for Gas Microflows

A Finite-Difference Lattice Boltzmann Approach for Gas Microflows
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Year:    2015

Communications in Computational Physics, Vol. 17 (2015), Iss. 4 : pp. 1007–1018

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.2014.m424

Communications in Computational Physics, Vol. 17 (2015), Iss. 4 : pp. 1007–1018

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:   

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