Asymptotically exact boundary conditions for the PN equations

Barry D Ganapol, C. T. Kelley, G. C. Pomraning

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

It was recently demonstrated that in planar geometry, the classic PN equations are an asymptotic limit of the transport equation. A corresponding boundary layer analysis established the asymptotically consistent boundary conditions. These boundary conditions were evaluated variationally, and it was conjectured that these variational approximations are quite accurate for all values of N. Here, we evaluate these boundary conditions exactly (numerically) and show that the previous variational results are indeed accurate to a few percent. The exact results were computed using numerical methods previously developed for solving Chandrasekhar's H equations.

Original languageEnglish (US)
Pages (from-to)12-19
Number of pages8
JournalNuclear Science and Engineering
Volume114
Issue number1
StatePublished - May 1993

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Boundary conditions
Numerical methods
Boundary layers
Geometry

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

Cite this

Asymptotically exact boundary conditions for the PN equations. / Ganapol, Barry D; Kelley, C. T.; Pomraning, G. C.

In: Nuclear Science and Engineering, Vol. 114, No. 1, 05.1993, p. 12-19.

Research output: Contribution to journalArticle

Ganapol, Barry D ; Kelley, C. T. ; Pomraning, G. C. / Asymptotically exact boundary conditions for the PN equations. In: Nuclear Science and Engineering. 1993 ; Vol. 114, No. 1. pp. 12-19.
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