The lattice Boltzmann method for Mixed Convection in a Cavity

In this work, a numerical study of the laminar mixed convection in a opened square cavity is presented. Two opposite and staggered openings distributed over the two lateral walls are proposed with 20% size of the height of the cavity. The bottom wall being hot and all others are considered adiabatic. The lattice Boltzmann method with the double population thermal model was used. A computer code was developed with the D2Q9 model for the velocity field and D2Q5 for the temperature field to determine the whole structure of the flow. The results are presented in the form of hydrodynamic and thermal fields for the Richardson number Ri = 10, and are compared with results computing with one conventional method especially finite volume. The obtained results show good agreement between the two methods.