Abstract

The synthesis method is suggested for solving two-dimensional, time dependent, nonlinear radiative transfer problems. Synthesis is an attempt to reduce computer time requirements substantially for two-dimensional radiation transport by accurately constructing the two-dimensional problem from a small number of one-dimensional calculations. The method is explicitly developed for the nonequilibrium diffusion of radiation in cartesian coordinates, but is applicable to any description of radiative transfer in arbitrary geometry. Grey radiative transfer is assumed with no scattering although these assumptions are not essential to the method. Results indicate that synthesis is remarkably accurate; relatively few one-dimensional calculations are needed to represent the real two-dimensional problem.

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