Surface and volume integrals of uncollided adjoint fluxes and forward-adjoint flux products

Jeffrey A. Favorite, Keith C. Bledsoe, David Isaac Ketcheson

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

Ray analysis techniques are standard for computing the uncollided component of a detector response to radiation. In this paper, uncollided adjoint flux integrals and forward-adjoint inner product integrals in volumes and on surfaces are derived for general geometries. In numerical test problems using a one-dimensional sphere and a two-dimensional (r-z) cylinder, deterministic and stochastic evaluations of the integrals yielded the same results. A semianalytic benchmark for the adjoint flux integral on a cylindrical surface is also used.

Original languageEnglish (US)
Pages (from-to)73-84
Number of pages12
JournalNuclear Science and Engineering
Volume163
Issue number1
DOIs
StatePublished - Jan 1 2009

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

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