Abstract: By using kinetic BGK scheme with new Maxiwellian distribution function and block-structured adaptive mesh refinement (AMR) algorithm, we construct a second-order BGK-AMR scheme for radiation hydrodynamics equation (RHE) in zero diffusion limit. Merits of the scheme are that we can reduce computational meshes and put more refinement meshes on location where should be concerned mostly, at the same time computational time is reduced greatly comparing with uniform finer meshes. And comparing with old Maxiwellian distribution for kinetic scheme of radiation hydrodynamics, parameters in new Maxwellian function are deeoupled, so construction of the scheme is simplified greatly. One- and two-dimensional numerical examples demonstrate performance of the scheme.

Key words: adaptive mesh refinement(AMR), radiation hydrodynamics, zero diffusion limit, BGK-AMR scheme