Energy transport in matter with rapidly changing states

The Godunov method that tracks nonstationary fronts and interfaces as bound aries of subregions moving with time is extended to include radiation trans port. In each subregion and at each time step, a new grid is created by use of boundary-fitted coordinates. The radiation transport is performed in a multiangle-multifrequency approach. The numerical method is based on a fini te volume method in the space time-domain, and the hydrodynamic fluxes are calculated using the solution of Riemann problems. Numerical results are sh own for some selected problems to demonstrate the efficiency of this approa ch.