Goal-oriented mesh adaptivity for multi-dimension SPN equations

Bruno Turcksin, Jean C. Ragusa

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

2 Scopus citations

Abstract

We present a mesh adaptivity strategy that incorporates, via adjoint calculations, the relative importance of computational regions towards a quantity of interest, a technique known as goal-oriented mesh adaptivity. In this approach, the mesh refinement is still dictated by the error in the forward solution, but it is also weighted by the importance of the solution towards a given goal. Quantities of interest may include reaction rates in a sub domain, pointwise flux values, etc. We have implemented goal-oriented mesh adaptivity for the multi-D (2- and 3-D) SPN equations and propose some numerical results demonstrating the superiority of the goal-oriented approach against the standard adaptivity technique.

Original languageEnglish
Title of host publicationAmerican Nuclear Society - International Conference on Mathematics, Computational Methods and Reactor Physics 2009, M and C 2009
Pages3115-3123
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
Volume5

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

  • Finite-element
  • Goal-oriented calculations
  • Mesh adaptivity
  • SP method.mesh adaptation

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