Asymptotically exact boundary conditions for the PN equations

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

Research output: Contribution to journalArticle

6 Scopus citations

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
DOIs
StatePublished - Jan 1 1993

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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