A lattice Boltzmann model for natural convection with a larae temperature difference

摘要

A Variable Property Thermal Lattice BGK (VPTLBGK) model is proposed for the natural convection with a large temperature difference. The basic idea is replacing constant relaxation times by spatially varying ones so that the variable transport coefficients in LBE are realised. Numerical results show that the VPTLBGK model is effective in studying the variable property effects. It is found that a Rayleigh-number-dependent power-law relation is satisfied between the Nusselt number and the Rayleigh number for the natural convection with variable transport coefficients.