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.

Evolution of front with speed dependent on curvature is considered. The speed includes both normal and tangent components. Change of total variation of propagating front depends only on derivative of normal speed about curvature where curvature is zero. The tangent speed has no influence on change of total variation.