Half-range moment method for solution of the transport equation in a spherically symmetric geometry

Abstract

A half-range moment method is presented for solving, in various orders of approximation, a multi-group transport equation subject to generalized boundary conditions in a spherically symmetric geometry. The results for the plane-parallel geometry are obtainable from the present analysis as a special case. The equations and the boundary conditions considered are sufficiently general to characterize a variety of problems in radiative transfer, neutron transport and phonon transport if various coefficients appearing in the equations are properly specified.