BENCHMARK RESULTS FOR THE NONEQUILIBRIUM MARSHAK DIFFUSION PROBLEM

As an extension of previous work in the literature, this paper conside rs a particular one-dimensional, halfspace, non-equilibrium Marshak wa ve problem. The radiative transfer model employed is a one-group diffu sion approximation with Marshak boundary condition, where the radiatio n and material fields are out of equilibrium. An analytic solution for the distribution of radiative energy and material temperature as a fu nction of space and time to this problem is given and tables of numeri cal results are generated. These benchmark results, together with the previously published results, are useful as a reference for validating time-dependent radiation diffusion computer codes. A comparison with a finite difference solution is presented which shows excellent agreem ent when a fine spatial mesh and small time steps are used. Copyright (C) 1996 Published by Elsevier Science Ltd