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1 results

  • Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

  • Erlend Magnus Viggen
  • Journal:
    Communications in Computational Physics / Volume 13 / Issue 3 / March 2013
    Published online by Cambridge University Press:
    03 June 2015, pp. 671-684
    Print publication:
    March 2013

  • 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.