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

TL;DR

This paper introduces an improved spectral method for solving the nonclassical neutron transport equation, reducing computational complexity by decreasing the required Laguerre series truncation order through a modified angular flux representation.

Contribution

The paper presents a novel modification to the Spectral Approach that enhances accuracy and efficiency in solving nonclassical neutron transport equations.

Findings

Reduced Laguerre truncation order needed for accurate solutions

Numerical results demonstrate improved efficiency

Method applicable to complex neutron transport problems

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.