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A Finite-Difference Lattice Boltzmann Approach for Gas Microflows

Published online by Cambridge University Press:  30 April 2015

G. P. Ghiroldi  and
L. Gibelli
G. P. Ghiroldi
Affiliation:
Dipartimento di Scienze e Tecnologie Aerospaziali, Via la Masa 34, Politecnico di Milano, 20156 Milano, Italy
L. Gibelli*
Affiliation:
Dipartimento di Scienze e Tecnologie Aerospaziali, Via la Masa 34, Politecnico di Milano, 20156 Milano, Italy
*
*Corresponding author. Email addresses: gian.ghiroldi@mail.polimi.it (G. P. Ghiroldi), livio.gibelli@polimi.it (L. Gibelli)
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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.

Keywords

47.11.-j47.45.-n47.61.-kLattice Boltzmann modelshalf-range Hermite polynomialskinetic boundary conditions
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 4 , April 2015 , pp. 1007 - 1018
Copyright
Copyright © Global-Science Press 2015 

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