Generalized discrete ordinates methods for neutral particle transport problems in slab geometry

Generalized discrete ordinates (SN) methods for steady-state monoenergetic neutral particle transport problems in slab geometry are developed for arbitrary order L of scattering anisotropy including odd-order N of Gauss–Legendre quadrature sets, provided L ≤ N − 1. The Laplace transform (LTSN) method is applied to solve analytically the SN problems in homogeneous slabs. Numerical results are given to analyze the accuracy of the odd-order Gauss–Legendre SN formulations.