The simplified thermal lattice Boltzmann model (STLBM) developed by Peng, Shu and Chew (2003) is used in this work to simulate low-Rayleigh-number natural convection in a heated rectangular cavity on a uniform grid. It is shown how by resorting to the double populations approach both hydrodynamic and thermal fields can be effectively simulated. Furthermore, a general benchmark is carried out to account for the effect of different parameters in relatively wide ranges. Results are compared with previous works available in the literature.
Djebali, R., Ganaoui, M. E., Sammouda, H., Bennacer, R. (2009). Some Benchmarks of a Side Wall Heated Cavity Using Lattice Boltzmann Approach. FDMP-Fluid Dynamics & Materials Processing, 5(3), 261–282. https://doi.org/10.3970/fdmp.2009.005.261
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