M. Damico et Gc. Pomraning, THE TREATMENT OF NONLINEARITIES IN FLUX-LIMITED DIFFUSION CALCULATIONS, Journal of quantitative spectroscopy & radiative transfer, 49(5), 1993, pp. 457-465
The flux-limited diffusion equation describing radiative transfer cont
ains inherent temperature nonlinearities, as well as nonlinearities as
sociated with its flux-limiting character. The common practice in time
-dependent calculations is to treat these nonlinearities explicitly. I
n this paper, the increase in accuracy obtained by iterating these non
linearities is investigated. The issue of what the best choice for the
fundamental material energy field variable, namely the temperature or
its fourth power, is has been addressed.