Discrete ordinate mapping algorithm for region-based quadrature sets

J. J. Jarrell, R. E. Grove, M. T. Shearer, A. M. Watson

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

Abstract

Frequently in the solution of problems using the discrete ordinates method, it would be convenient to use different quadrature sets in different spatial regions of the problem. For example, when a problem has a highly diffusive region bounding a void region, using a finer quadrature set in the void region would reduce the occurrence of ray effects in the void region. In this paper, we present a method for mapping between quadrature set regions while conserving current on the boundary between regions. We also present an example problem showing that our linear mapping routine accurately captures the streaming of particles between two quadrature set regions, and that the application of flux factors conserves current at the region boundary.

Original languageEnglish
Title of host publicationAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Pages2547-2555
Number of pages9
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

  • Adaptive
  • Deterministic transport
  • Quadrature

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