Kinetic flux vector splitting for radiation hydrodynamical equations

This paper is interested in the kinetic flux vector splitting (KFVS) for the multidimensional radiation hydrodynamical equations (RHEs) in zero diffusion limit. First, a generalized Maxwell–Boltzmann distribution function with two new parameters of temperature approximation is introduced to recover the macroscopic equations. These parameters are uniquely determined by macroscopic variables. Then, a high resolution KFVS method is proposed for the solution of the multidimensional RHEs. It does not require any Riemann solvers. Finally, several numerical examples are given to show the performance of our scheme.