The Ln/Ln0 Method for 1D Neutron Transport in a Slab Medium

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1 Scopus citations

Abstract

A new, highly precise benchmark for the monoenergetic 1 D neutron transport equation with isotropic scattering, based on Case’s singular eigenfunctions, is presented. Because of the nature of singular distributions, Case’s analytical solution notoriously resists straightforward numerical computation. To overcome this difficulty, two complementary Lagrange interpolation schemes are constructed to achieve extreme precision (∼8 to 10 places) for number of secondaries in the range 0.001 < c < 0.99999 and slab thicknesses in the range 1 < Δ <100.

Original languageEnglish (US)
Pages (from-to)239-264
Number of pages26
JournalJournal of Computational and Theoretical Transport
Volume51
Issue number5
DOIs
StatePublished - 2022

Keywords

  • extreme precision
  • Gauss quadrature
  • Lagrange interpolation
  • Neutron transport
  • slab

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • General Physics and Astronomy
  • Applied Mathematics

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