Negative flux fixups in discontinous finite element SN transport

Steven Hamilton, Michele Benzi, Jim Warsa

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

20 Scopus citations

Abstract

We introduce a conservative fixup strategy to remedy negative fluxes within a linear discontinuous spatially discretized radiation transport solver. The strategy is similar in principle to the classical set-to-zero fixup used with diamond difference schemes. We also discuss difficulties in creating an effective solver for such an approach and propose a hybrid source iteration/Krylov solver. Numerical results are presented for 2-D test cases.

Original languageEnglish
Title of host publicationAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Pages2529-2538
Number of pages10
StatePublished - 2009
Externally publishedYes
EventInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009 - Saratoga Springs, NY, United States
Duration: May 3 2009May 7 2009

Publication series

NameAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Volume4

Conference

ConferenceInternational Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Country/TerritoryUnited States
CitySaratoga Springs, NY
Period05/3/0905/7/09

Keywords

  • Flux fixups
  • SN transport

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