Numerical resolution of the radiative transfer equation in a cylindrical enclosure with the finite-volume method

The radiative transfer equation is solved by the finite-volume method in an axisymmetric two-dimensional geometry with absorbing, emitting, and either isotropically or anisotropically scattering gray medium. Explicit expressions of the coefficients appearing in the discretized angular redistribution term have been determined. These coefficients verify the recursive relation established by Carlson and Lathrop [Greenspan, Kelber, Okrent (Eds.), Computing Method in Reactors Physics, Gordon and Breach, New York, 1968, p. 171] and lead to accurate numerical results.