A 3-D neutron transport benchmark solution

B. D. Ganapol, D. E. Kornreich

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Solutions of the one-group neutron transport equation are provided for point-beam and finite isotropic line sources in a homogeneous 3-D infinite medium with isotropic scattering. The solution is obtained via Fourier transforms and analytical/numerical inversions. The transport equation is cast into a 2-D equivalent form, which can ultimately be put in terms of a 1-D problem, thereby providing analytical leverage. The inversions use standard numerical techniques such as Gauss-Legendre quadrature and summation of infinite series. Even though the solution obtained here uses equivalent forms in fewer dimensions, it does represent a true 3-D analytical benchmark which is useful for both code verification and educational enrichment.

Original languageEnglish (US)
Pages (from-to)89-111
Number of pages23
JournalTransport Theory and Statistical Physics
Volume24
Issue number1-3
DOIs
StatePublished - Jan 1 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation
  • Physics and Astronomy(all)
  • Applied Mathematics

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