Numerical method for solving radiative-transfer equations in one-dimensional problems of radiative gas-dynamics

The paper performs an integration with respect to angles and energies of quanta of the exact solution of the spectral-radiation transfer equation for an approximate profile of gasdynamic parameters in conditions of spherical geometry. Averaging coefficients are determined which characterize the absorption and emission of radiation by a cell of the difference mesh. A difference scheme is developed for averaged transfer equations with regard to unilateral radiative fluxes through a spherical surface; the scheme can be used to analyze media of arbitrary optical thickness. The proposed method is used to solve the one-dimensional plane-problem of the effect of Nd-laser radiation with a constant energy flux density on an aluminum barrier in vacuum; allowance is made for the angular and spectral structures of plasma thermal radiation.