Geodesic
A numerical method of solving the radiation transfer equation in one-dimensional problems of radiation gas dynamics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 142-151

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Integration over the angles and quanta energies, of the exact solution of the spectral radiation transfer equation is used to approximate the profiles of the gas dynamic parameters in a spherical geometry. The averaging coefficients, describing the absorption and emission of radiation of a difference-mesh cell are found. A difference scheme for the averaged transfer equations with respect to one-sided radiant flux through a sperical surface is constructed. The scheme enables calculations of media of any optical thickness to be carried out. By passing to the limit a scheme for a plane layer is obtained. The results of numerical calculations, found by the method described, are given for the plane problem of the effect of laser radiation on an obstacle in a vacuum. The results obtained take into account in detail the angular and spectral composition of the thermal radiation of a plasma. 
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     title = {A numerical method of solving the radiation transfer equation in one-dimensional problems of radiation gas dynamics},
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A. P. Golub'. A numerical method of solving the radiation transfer equation in one-dimensional problems of radiation gas dynamics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 1, pp. 142-151. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_1_a15/