Simulation using lattice Boltzmann method and nonlinear characteristics for natural convection

Natural convection in a cavity with a vertical hot plate and in a rectangle cavity heated from below was simulated numerically using LB method and QUICK difference method. The results of LB method agree very well with the results of QUICK and smoke visualization experiment, which confirms LB method can deal with fluid flow and convection heat transfer problem in enclosure with an island. The bifurcation solutions can be get using both LB method and QUICK difference method for the natural convection in rectangle cavity heated from below. It can be shown by analyzing the nonlinear characteristics of the numerical results that the nonlinear characteristics are consistent for the numerical results of LB and QUICK methods.