Abstract

Generalized discrete ordinates ( S N ) 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 (LT S N ) method is applied to solve analytically the S N problems in homogeneous slabs. Numerical results are given to analyze the accuracy of the odd-order Gauss–Legendre S N formulations.

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