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Stabilization of thermal lattice Boltzmann models. (English) Zbl 1106.82353
A three-dimensional thermal lattice-Boltzmann model with two relaxation times to separately control viscosity and thermal diffusion is developed. Numerical stability of the model is significantly improved using Lax-Wendroff advection to provide and adjustable time step. Good agreement with a conventional fiitedifference Navier-Stokes solver is obtained in modeling compressible Rayleigh-Bénard convestion when boundary conditions are treated similarly.

82C40 Kinetic theory of gases in time-dependent statistical mechanics
76R99 Diffusion and convection
76M99 Basic methods in fluid mechanics
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