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The set of benchmark solutions used in the thermal radiative transfercommunity suffer some coverage gaps, in particular nonlinear, non-equilibriumproblems. Also, there are no non-equilibrium, optically thick benchmarks. Theseshortcomings motivated the development of a numerical method free from therequirement of linearity and easily able to converge on smooth optically thickproblems, a moving mesh Discontinuous Galerkin (DG) framework that utilizes anuncollided source treatment. Having already proven this method on timedependent scattering transport problems, we present here solutions tonon-equilibrium thermal radiative transfer problems for familiar linearizedsystems together with more physical nonlinear systems in both optically thinand thick regimes, including both the full transport and the $S_2$/$P_1$solution. Geometric convergence is observed for smooth sources at all times andsome nonsmooth sources at late times when there is local equilibrium. Also,accurate solutions are achieved for step sources when the solution is notsmooth.

Benchmark solutions for radiative transfer with a moving mesh and exact uncollided source treatments