Multigroup Direct Methods for Solving Radiative Transfer Equations

摘要

The aim of this paper is the numerical treatment of the nonlinear terms of the radiative transfer equations. Of course we consider here only the simplest form of these equations, that is to say without taking into account hydrodynamic terms, Compton or Thomson scattering terms. Provided the radiative transfer equations are transport equations, we consider here the diffusion form of these equations, so called multigroup diffusion equations, (of course these equations are coupled with a non linear energy balance equation). The scheme is described first; afterwards it is analysed in the case of the opaque limit. Then this scheme is compared with another one which is based on a quite different linearization and numerical results are given. (ERA citation 13:002452)