A hydrodynamically correct thermal lattice Boltzmann model |
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| Authors: | Guy R. McNamara Alejandro L. Garcia Berni J. Alder |
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| Affiliation: | (1) Los Alamos National Laboratory, 87545 Los Alamos, New Mexico;(2) Lawrence Livermore National Laboratory, 94550 Livermore, California;(3) Department of Physics, San Jose State University, 95192-0106 San Jose, California |
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| 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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| Keywords: | Lattice-Boltzmann equation Rayleigh-Bé nard convection numerical stability |
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