Abstract
The MacCormack scheme and its variants proposed by Kassar and Ali (Comput. Methods Appl. Mech. Engrg. 106 (1993) 395) are applied to the radiative transfer problem studied by Stone and Mihalas (J. Comput. Phys. 100 (1992) 402). It is shown that the usual form of MacCormack scheme gives phase advanced results in the case of an optically thick medium and that the wave speed deteriorates further as the time step is decreased. On the other hand, the proposed variants, although requiring shorter time steps, give increased wave speed accuracy. Three hybrid variants are proposed of which the first two give more accurate wave speed for the time step size used by Stone and Mihalas. The results presented for the error prone optically thick medium, are excellent when flux corrected transport is applied to enhance the resolution of the radiation front.
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