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Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation
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Year:    2013

Communications in Computational Physics, Vol. 13 (2013), Iss. 3 : pp. 671–684

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.271011.020212s

Communications in Computational Physics, Vol. 13 (2013), Iss. 3 : pp. 671–684

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

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