Modeling of natural convection by lattice Boltzmann in a partially heated cavity

Abstract

This study introduces the lattice Boltzmann method for modeling natural convection in a partially heated square cavity filled with air for varying Rayleigh numbers. A temperature gradient affects the vertical walls, whereas the other walls are treated as adiabatic. The velocity and temperature fields are determined using the double population model of Lattice Boltzmann Method (LBM), which uses two different distribution functions one for the velocity field and another for the temperature field. The results obtained are showcased through streamlines, isotherms, velocity, and temperature profiles, these results align well with existing literature.