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A diffusion theory for radiative transfer is derived which is naturally flux limited, i.e., the magnitude of the flux can be no greater than the density times the maximum transport speed. Numerical comparisons with exact solutions of the equation of transfer indicate that this approximate theory is significantly more accurate than classical isotropic diffusion theory (the Eddington approximation) and asymptotic diffusion theory.
Levermore et al. (Sat,) studied this question.