Benchmark results for the non-equilibrium Marshak diffusion problem.

Details Benchmark results for the non-equilibrium Marshak diffusion problem. Benchmark results for the non-equilibrium Marshak diffusion problem.

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jqsrt..56..337s&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 56, No. 3, p. 337 - 351

Computer Science

13

Radiative Transfer: Diffusion

Scientific paper

As an extension of previous work in the literature, this paper considers a particular one-dimensional, halfspace, non-equilibrium Marshak wave problem. The radiative transfer model employed is a one-group diffusion approximation with Marshak boundary condition, where the radiation and material fields are out of equilibrium. An analytic solution for the distribution of radiative energy and material temperature as a function of space and time to this problem is given and tables of numerical 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 agreement when a fine spatial mesh and small time steps are used.

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