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This paper aims at the simulation of multiple scale physics in the system ofradiation hydrodynamics. The system couples the fluid dynamic evolutionequations with the radiative heat transfer. The coupled system is solved by thegas-kinetic scheme (GKS) for the compressible viscous and heat conducting flowand the unified gas-kinetic scheme (UGKS) for the non-equilibrium radiativetransfer, together with the momentum and energy exchange between these twophases. For the radiative transfer, due to the possible large variation offluid opacity in different regions, the transport of photons in the flow systemis simulated by the multiscale UGKS, which is capable of naturally capturingthe transport process from the free streaming to the diffusivepropagation.Since both GKS and UGKS are finite volume methods,all unknowns aredefined inside each control volume and are discretized consistently for thehydrodynamic and radiative variables. For the coupled system, the scheme hasthe asymptotical preserving (AP) property, such as recovering the equilibriumdiffusion limit for the radiation hydrodynamic equations in the optically thickregion, where the cell size is not limited by photon's mean free path. A fewtest cases, such as radiative shock wave problems, are used to validate thecurrent approach.

Unified gas-kinetic simulation for the system of multiscale radiation hydrodynamics