A solution of the monoenergetic neutral particle transport equation for adjacent half-spaces with anisotropic scattering

Barry D Ganapol, D. Mostacci, A. Previti

Research output: Contribution to journalArticle

Abstract

We present highly accurate solutions to the neutral particle transport equation in a half-space. While our initial motivation was in response to a recently published solution based on Chandrasekhar's H-function, the presentation to follow has taken on a more comprehensive tone. The solution by H-functions certainly did achieved high accuracy but was limited to isotropic scattering and emission from spatially uniform and linear sources. Moreover, the overly complicated nature of the H-function approach strongly suggests that its extension to anisotropic scattering and general sources is not at all practical. For this reason, an all encompassing theory for the determination of highly precise benchmarks, including anisotropic scattering for a variety of spatial source distributions, is presented for particle transport in a half-space. We illustrate the approach via a collection of cases including tables of 7-place flux benchmarks to guide transport methods developers. The solution presented can be applied to a considerable number of one and two half-space transport problems with variable sources and represents a state-of-the-art benchmark solution.

Original languageEnglish (US)
Pages (from-to)814-845
Number of pages32
JournalJournal of Computational Physics
Volume316
DOIs
StatePublished - Jul 1 2016

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neutral particles
half spaces
Scattering
scattering
photographic developers
Fluxes

Keywords

  • Convergence acceleration
  • Discrete ordinates
  • Henyey-Greenstein phase function
  • Wynn-epsilon

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy (miscellaneous)

Cite this

A solution of the monoenergetic neutral particle transport equation for adjacent half-spaces with anisotropic scattering. / Ganapol, Barry D; Mostacci, D.; Previti, A.

In: Journal of Computational Physics, Vol. 316, 01.07.2016, p. 814-845.

Research output: Contribution to journalArticle

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