Numerical studies of two-dimensional Rayleigh-Bénard convection using lattice Boltzmann method based on interpolation

Numerical studies are presented for two-dimensional Rayleigh-Bénard convection in a large scope of Ra number using a lattice Boltzmann method based on interpolation. In the simulation, various ratios of interpolation are adopted for corresponding Ra numbers. Numerical results such as the maximal time dependent vertical velocities of the system, steady-state streamlines and isotherms, Nu numbers as a function of Ra numbers, and the profiles of the average temperature of the horizontal sections near the walls are presented. Such results are consistent with those from previous references.