An analytical multigroup benchmark for (n, γ) and (n, n′, γ) verification of diffusion theory algorithms

Research output: Contribution to journalArticle

Abstract

The angular flux for the "rod model" describing coupled neutron/gamma (n, γ) diffusion has a particularly straightforward analytical representation when viewed from the perspective of a one-group homogeneous medium. Cast in the form of matrix functions of a diagonalizable matrix, the solution to the multigroup equations in heterogeneous media is greatly simplified. We shall show exactly how the one-group homogeneous medium solution leads to the multigroup solution.

Original languageEnglish (US)
Pages (from-to)2017-2023
Number of pages7
JournalAnnals of Nuclear Energy
Volume38
Issue number9
DOIs
StatePublished - Sep 1 2011

Keywords

  • Diagonalizable matrices
  • Diffusion equation
  • Multigroup

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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