Particle Transport in a 3D Duct by Adding and Doubling

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


How particles are transported through a duct by Lambertian reflection from duct walls is again considered. This popular transport example has been solved with most numerical transport methods except notably one—the method of adding and doubling. We shall show that the method of doubling provides every bit as, or more, accurate reflectances and transmittances as the numerical discrete ordinates and analytical discrete ordinates methods with generally less mathematical and numerical effort.

Original languageEnglish (US)
Pages (from-to)202-228
Number of pages27
JournalJournal of Computational and Theoretical Transport
Issue number3
StatePublished - Apr 16 2017


  • Adding and doubling
  • Richardsons acceleration
  • Wynn-epsilon acceleration
  • discrete ordinates
  • duct transport

ASJC Scopus subject areas

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


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