Transient Rayleigh-Bénard Thermal Convection With Radiation Heat Transfer in Participating Media Using the Control Volume Finite Element Method (CVFEM) and Lattice Boltzmann Method

Abstract

In this paper, a gas-kinetic Bhatnagar-Gross-Krook (BGK) model is constructed for the Rayleigh-Benard thermal convection transfer in a two-dimensional cavity containing an absorbing, emitting, and scattering medium, where the flow field and temperature field are described by two coupled Lattice Boltzmann Method (LBM) BGK models. Heat radiation is solved using the Control Volume Finite Element Method (CVFEM). The two-dimensional Rayleigh-Benard thermal convection with radiation is studied and numerical results are compared with some available benchmark solutions and a good agreement has been observed.