A thermal lattice Bhatnagar-Gross-Krook (LBGK) model with a robust boundary scheme is developed for Boussinesq incompressible fluids.In the model the velocity and temperature fields are solved by two independent LBGK equations which are combined into a coupled equation for the whole system.The two-dimensional natural convection flow of air in a differentially heated cavity of an aspect ratio of four is simulated for the Rayleigh number up to 10^10.The numerical results are found to be in good agreement with those of previous studies.
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机译：Comments on ‘Lattice Boltzmann simulation of alumina-water nanofluid in a square cavity’ by Yurong He Cong Qi Yanwei Hu Bin Qin Fengchen Li and Yulong Ding
