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.
|Original language||English (US)|
|Number of pages||10|
|Journal||Journal of Quantitative Spectroscopy and Radiative Transfer|
|State||Published - Apr 1983|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics