@Article{CiCP-13-671,
author = {},
title = {Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation},
journal = {Communications in Computational Physics},
year = {2013},
volume = {13},
number = {3},
pages = {671--684},
abstract = {<p style="text-align: justify;">As the numerical resolution is increased and the discretization error decreases, the lattice Boltzmann method tends towards the discrete-velocity Boltzmann
equation (DVBE). An expression for the propagation properties of plane sound waves
is found for this equation. This expression is compared to similar ones from the Navier-Stokes and Burnett models, and is found to be closest to the latter. The anisotropy of
sound propagation with the DVBE is examined using a two-dimensional velocity set.
It is found that both the anisotropy and the deviation between the models is negligible
if the Knudsen number is less than 1 by at least an order of magnitude.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.271011.020212s},
url = {http://global-sci.org/intro/article_detail/cicp/7242.html}
}