A numerical method of solving the radiation transfer equation in one-dimensional problems of radiation gas dynamics

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.