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

Barry D Ganapol

doi:10.1016/j.anucene.2015.01.015

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

Barry D Ganapol

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	13-22
Number of pages	10
Journal	Annals of Nuclear Energy
Volume	86
DOIs	https://doi.org/10.1016/j.anucene.2015.01.015
State	Published - Dec 1 2015

Keywords

Discrete ordinates
Doubling and adding
Pipe problem
Wynn-epsilon acceleration

ASJC Scopus subject areas

Nuclear Energy and Engineering

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10.1016/j.anucene.2015.01.015

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AU - Ganapol, Barry D

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N2 - 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.

AB - 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.

KW - Discrete ordinates

KW - Doubling and adding

KW - Pipe problem

KW - Wynn-epsilon acceleration

UR - https://www.scopus.com/pages/publications/84959370393

UR - https://www.scopus.com/pages/publications/84959370393#tab=citedBy

U2 - 10.1016/j.anucene.2015.01.015

DO - 10.1016/j.anucene.2015.01.015

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AN - SCOPUS:84959370393

SN - 0306-4549

VL - 86

SP - 13

EP - 22

JO - Annals of Nuclear Energy

JF - Annals of Nuclear Energy

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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