An improved spectral approach for solving the nonclassical neutron particle transport equation

Abstract

An improvement modification of the Spectral Approach (SA) used for approximating the nonclassical neutral particle transport equation is described in this work. The main focus of the modified SA lies on a slight modification of the nonclassical angular flux representation as a function of truncated Laguerre series. This leads, in some cases, to a considerable decrease of the Laguerre truncation order required to generate accurate solutions. Numerical results are given to illustrate this proposed improvement.

arXiv comment6 pages, 1 table and 1 figure

References in corpus (4)

• Non-classical transport with angular-dependent path-length distributions. 1: Theory
• Non-classical transport with angular-dependent path-length distributions. 2: Application to pebble bed reactor cores
• A Spectral Approach for Solving the Nonclassical Transport Equation
• On the Application of the Analytical Discrete Ordinates Method to the Solution of Nonclassical Transport Problems in Slab Geometry