  Radiation hydrodynamics simulations based on the one-fluid two-temperature
model may violate the law of energy conservation because the governing
equations are expressed in a nonconservative formulation. Here, we maintain the
important physical requirements by employing a strategy based on the key
concept that the mathematical structures associated with the conservative and
nonconservative equations are preserved, even at the discrete level. To this
end, we discretize the conservation laws and transform them via exact algebraic
operations. The proposed scheme maintains the global conservation errors within
the round-off level. In addition, a numerical experiment concerning the shock
tube problem suggests that the proposed scheme well agrees with the jump
conditions at the discontinuities regulated by the Rankine-Hugoniot
relationship. The generalized derivation allows us to employ arbitrary central
difference, artificial dissipation, and Runge-Kutta methods.
