Radiative transfer in a spherical medium by the variational Pomraning-Eddington technique.

Computer Science

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Radiative Transfer: Numerical Methods

Scientific paper

Radiative transfer through a participating, homogeneous, spherical medium is considered. The solution of the problem containing an energy source in a medium of diffuse reflecting boundaries is given in terms of the solution of the source-free problem with transparent boundaries. The source-free problem is solved by using the Pomraning-Eddington approximation. The variational method is used to find the solution constants. The partial fluxes at the boundaries of solid spheres and spherical shells of transparent or diffuse reflecting boundaries are calculated. The results are compared with those of the Galerkin technique.

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