构造一种求解二维辐射流体力学方程组的有限体积方法.相较于Euler方程组,辐射流体力学方程组的数值格式设计更为困难.不仅辐射压力与辐射能量的强非线性增加了数值计算的难度,而且求解强激波问题也是一大难点.与此同时,物质量以声速传播,辐射量以光速传播也增加了该系统求解的难度.为了克服这些难点,我们使用MUSCL-Hancock方法求解模型的双曲部分,利用TR/BDF2的变换格式求解其扩散部分.给出了灰非平衡扩散模型关于时间的渐近分析.最后,通过数值实验展现该格式的表现.“,”We study a finite volume solver for radiation hydrodynamical models in two space dimensions. For nonlinearity of radiation pressure and radiation energy, it is not a trivial task to develop a numerical scheme for radiation hydrodynamics compared to Euler equations. The current strategy is that the convective part is solved by MUSCL-Hancock schemes, while the diffusive part is handled through an alternative form of TR/BDF2 ( trapezoidal rule with second order backward difference formula ) method. An asymptotic analysis for the grey nonequilibrium diffusion model in time is presented. Numerical experiments are given to show performance of the IMEX scheme.