A more efficient implementation of the discrete-ordinates method for an approximate model of particle transport in a duct

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We consider transport of light, neutrons, or any uncharged particles in a straight duct of circular cross section. This problem first came to fashion some 30 years ago when Pomraning and Prinja formulated their so called "pipe problem". In the years to follow, investigators applied essentially every known method of numerical solution, including MMRW's Wiener-Hopf - except possibly one. This presentation concerns that particular numerical solution, which arguably seems to be the most efficient of all.

Original languageEnglish (US)
Pages (from-to)13-22
Number of pages10
JournalAnnals of Nuclear Energy
Publication statusPublished - Dec 1 2015



  • Discrete ordinates
  • Doubling and adding
  • Pipe problem
  • Wynn-epsilon acceleration

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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