Bj. Su et Gl. Olson, BENCHMARK RESULTS FOR THE NONEQUILIBRIUM MARSHAK DIFFUSION PROBLEM, Journal of quantitative spectroscopy & radiative transfer, 56(3), 1996, pp. 337-351
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