Radiative Shock Solutions with Multigroup Discrete-Ordinates Transport.

Abstract

We obtain semi-analytic planar radiative shock solutions using a multigroup discrete-ordinates (Sn) radiation transport model. Comparisons are made to the grey nonequilibrium diffusion solutions of Lowrie and Edwards and the grey-Sn transport solutions of Ferguson, Morel, and Lowrie. Our solutions can be used to verify radiation-hydrodynamics codes. The material opacity is assumed to be constant and we apply a multigroup discretization to the O(u/c) steady-state frequency-integrated Sn transport equation in order to investigate the structure of the group radiation temperatures. From the structures of the group radiation temperatures, we show that anti-diffusive-like behavior can be due to frequency dependence of the Planck function and not just the angular dependence of the radiation field.