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...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 NavierStokes 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.展开更多
文摘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 NavierStokes 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.
