Volume 13, Issue 3
Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

Erlend Magnus Viggen


Commun. Comput. Phys., 13 (2013), pp. 671-684.

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  • Abstract

As the numerical resolution is increased and the discretisation 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 foundforthisequation. ThisexpressioniscomparedtosimilaronesfromtheNavierStokes 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.

  • History

Published online: 2013-03

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