@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 = {<p style="text-align: justify;">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>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2014.m424},
url = {http://global-sci.org/intro/article_detail/cicp/10991.html}
}