A 3-D neutron transport benchmark solution

Barry D Ganapol, D. E. Kornreich

Research output: Contribution to journalArticle

5 Citations (Scopus)

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

Fingerprint

Neutron Transport
3D
Neutrons
Benchmark
Transport Equation
neutrons
inversions
Numerical Inversion
Group
Infinite series
Legendre
Numerical Techniques
quadratures
Leverage
Quadrature
Summation
Gauss
casts
Fourier transform
Inversion

ASJC Scopus subject areas

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

Cite this

A 3-D neutron transport benchmark solution. / Ganapol, Barry D; Kornreich, D. E.

In: Transport Theory and Statistical Physics, Vol. 24, No. 1-3, 01.01.1995, p. 89-111.

Research output: Contribution to journalArticle

Ganapol, Barry D ; Kornreich, D. E. / A 3-D neutron transport benchmark solution. In: Transport Theory and Statistical Physics. 1995 ; Vol. 24, No. 1-3. pp. 89-111.
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