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

G. P. Ghiroldi & L. Gibelli

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

Published online: 2018-04

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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.

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@Article{CiCP-17-1007, author = {G. P. Ghiroldi and L. Gibelli}, title = {A Finite-Difference Lattice Boltzmann Approach for Gas Microflows}, journal = {Communications in Computational Physics}, year = {2018}, volume = {17}, number = {4}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2014.m424}, url = {http://global-sci.org/intro/article_detail/cicp/10991.html} }
TY - JOUR T1 - A Finite-Difference Lattice Boltzmann Approach for Gas Microflows AU - G. P. Ghiroldi & L. Gibelli JO - Communications in Computational Physics VL - 4 SP - 1007 EP - 1018 PY - 2018 DA - 2018/04 SN - 17 DO - http://dor.org/10.4208/cicp.2014.m424 UR - https://global-sci.org/intro/cicp/10991.html KW - AB -

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.

G. P. Ghiroldi & L. Gibelli. (1970). A Finite-Difference Lattice Boltzmann Approach for Gas Microflows. Communications in Computational Physics. 17 (4). 1007-1018. doi:10.4208/cicp.2014.m424
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