Ray-effect mitigation for the discrete ordinates method using artificial scattering

Thomas Camminady, Martin Frank, Cory D. Hauck, Jonas Kusch

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

1 Scopus citations

Abstract

When solving the radiation transport equation with the discrete ordinates (SN) method one observes ray-effects which result from a break in rotational symmetry from the finite set of directions chosen by SN . We present a modified version of the SN method, which we call as-SN , that contains an additional artificial forward-peaked scattering operator. This operator scatters particles between the ordinates so that ray-effects are reduced. Similar to artificial viscosity for space discretizations, the additional term vanishes as the number of ordinates grows. We present an implicit-in-time implementation that uses standard SN solver technology. First numerical experiments are shown.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019
PublisherAmerican Nuclear Society
Pages459-466
Number of pages8
ISBN (Electronic)9780894487699
StatePublished - 2019
Event2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019 - Portland, United States
Duration: Aug 25 2019Aug 29 2019

Publication series

NameInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019

Conference

Conference2019 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2019
Country/TerritoryUnited States
CityPortland
Period08/25/1908/29/19

Keywords

  • Discrete ordinates method
  • Quadrature
  • Radiation transport
  • Ray effects

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