@Article{CiCP-17-1007, author = {}, 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} }