TY - JOUR T1 - Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation JO - Communications in Computational Physics VL - 3 SP - 671 EP - 684 PY - 2013 DA - 2013/03 SN - 13 DO - http://doi.org/10.4208/cicp.271011.020212s UR - https://global-sci.org/intro/article_detail/cicp/7242.html KW - AB -

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.