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Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

Published online by Cambridge University Press:  03 June 2015

Erlend Magnus Viggen
Erlend Magnus Viggen*
Affiliation:
Department of Electronics and Telecommunications, Norwegian University of Science and Technology (NTNU), 7034 Trondheim, Norway
*
*Corresponding author.Email:erlend.vigen ntnu.no
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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 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.

Keywords

76Q0576P05Lattice Boltzmann methoddiscrete-velocity Boltzmann equationsound propagationcomputational aeroacoustics
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 3 , March 2013 , pp. 671 - 684
Copyright
Copyright © Global Science Press Limited 2013

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