Variation of the albedo and the transmission factor with forward and backward scattering in neutron transport theory - The F-N method

The one speed neutron transport equation with anisotropic scattering has be en considered for the slab albedo problem. The scattering function is assum ed to be a combination of forward-backward and with isotropic scattering (F BIS model). The transport equation is transformed into a Boltzmann-type equ ation, corresponding to isotropic single scattering and the resulting equat ion is solved by using the recently developed F-N method. The albedo and tr ansmission factor are calculated for a slab and various types of scattering parameters. Numerical results are given, accurate to five significant figu res and compared with those already available in the literature. Finally, i t is shown that the F-N method gives more accurate results and easily appli cable to this type of anisotropic scattering kernel. (C) 2000 Elsevier Scie nce Ltd. All rights reserved.