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://doi.org/10.4208/cicp.2014.m424
UR - https://global-sci.org/intro/article_detail/cicp/10991.html
KW - 
AB - <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>