中文摘要：

辐射流体力学研究辐射的传输对流体运动的影响,并在此条件下研究流体的运动规律.实际应用问题中辐射流体力学所描述的是非常复杂的物理过程,数值模拟是主要的研究手段之一.模拟通常采用流体计算和辐射计算分裂求解的方法.讨论求解辐射扩散方程时迫切需要解决的一些计算方法问题,包括大变形网格上扩散计算格式与非线性迭代方法,并简要介绍部分研究进展.

英文摘要：

Radiative transfer in fluid flow of radiation hydrodynamics is studied. Kinetic laws under radiation condition are investigated. Practical radiation hydrodynamics process is complicated, and numerical simulation is one of primary research means. Splitting methods are often used in numerical simulation, in which fluid motion and radiation are computed separately. We discuss computational problems in radiation diffusion calculations. Diffusion schemes and nonlinear iterative methods on severely distorted meshes are studied. A brief introduction on research progress is given.