In　this　paper,　we　study　the　asymptotic　limit　of　a　multidimensional　non-isentropic　radiation　hydrodynamics　model　arising　from　astrophysics　via　non-relativistic　regime.　We　first　obtain　the　local　existence　of　smooth　solutions　to　the　initial　value　problem.　Then,　we　give　a　convergence　result　of　the　radiation　hydrodynamics　equations　to　the　compressible　and　non-isentropic　Euler　equations.