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

B. D. Ganapol, G. C. Pomraning

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


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 languageEnglish (US)
Pages (from-to)311-320
Number of pages10
JournalJournal of Quantitative Spectroscopy and Radiative Transfer
Issue number4
StatePublished - Apr 1983

ASJC Scopus subject areas

  • Radiation
  • Atomic and Molecular Physics, and Optics
  • Spectroscopy


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