A diffusion synthetic acceleration scheme for rectangular geometries based on bilinear discontinuous finite elements

Bruno Turcksin, Jean C. Ragusa

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

2 Scopus citations

Abstract

A DSA technique to accelerate the iterative convergence of Sn transport solves is derived for bilinear discontinuous (BLD) finite elements on rectangular grids. The diffusion synthetic acceleration equations are discretized using BLD elements by adapting the Modified Interior Penalty technique, introduced in [4] for triangular grids. The MIP-DSA equations are SPD and thus are solved using a preconditioned CG technique. Fourier analyses and implementation of the technique in a BLD 5n transport code show that the technique is stable is effective.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Pages2702-2712
Number of pages11
StatePublished - 2013
Externally publishedYes
EventInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013 - Sun Valley, ID, United States
Duration: May 5 2013May 9 2013

Publication series

NameInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Volume4

Conference

ConferenceInternational Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2013
Country/TerritoryUnited States
CitySun Valley, ID
Period05/5/1305/9/13

Keywords

  • Bilinear discontinuous finite element (BLD)
  • Diffusion synthetic acceleration (DSA)

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