Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media

Convection, conduction, and thermal radiation are the three mechanisms of heat transfer in nature. The lattice Boltzmann model (LBM) has already achieved great success dealing with convection conduction problems. However, mature LBM for radiative (RHT) is still relatively lacking. Here we propose a mesoscopic RHT graded-index media, which enables simple efficient solution both transient steady-state media by conducting collision streaming processes. Via Chapman-Enskog analysis, equation rigorously derived from proposed LBM. present universal arbitrary refractive index distribution, can naturally handle homogeneous constant index. This expected to provide tool complex pave way establishing unified framework convection, transfer.