Abstract
A three-dimensional lattice-Boltzmann model which yields correct hydrodynamics at the Navier-Stokes level of the Chapman-Enskog expansion requires a minimum of 26 velocities. We present results for a model with one additional velocity, determined by maximizing the equilibrium entropy. For compressible Rayleigh-Bénard convection the model is more accurate but considerably less stable, than a previous, approximate 21-speed model.
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McNamara, G.R., Garcia, A.L. & Alder, B.J. A hydrodynamically correct thermal lattice Boltzmann model. J Stat Phys 87, 1111–1121 (1997). https://doi.org/10.1007/BF02181274
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DOI: https://doi.org/10.1007/BF02181274