The non-equilibrium Marshak wave problem: A transport theory solution

An analytic solution to a particular Marshak problem is given. The radiative transfer model used is the one-group grey transport description coupled with the material energy balance. This solution provides a benchmark for validating time-dependent radiative transfer algorithms and constitutes a transport solution to the same problem previously solved using diffusion and low-order P-N approximations. Typical numerical results are given for surface and integral quantities and comparisons are made with the previously reported diffusion solution, as well as with a Monte Carlo result.