Application of Non-Linear Extrapolations for the Convergence Acceleration of Source Iteration

Research output: Research - peer-reviewArticle

Abstract

Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.

LanguageEnglish (US)
Pages351-367
Number of pages17
JournalJournal of Computational and Theoretical Transport
Volume45
Issue number5
DOIs
StatePublished - Jul 28 2016

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Acceleration of Convergence
Extrapolation
Iteration
iteration
extrapolation
Iteration Method
Source Terms
Standards
Strategy
International System of Units
performance

Keywords

  • diffusion synthetic acceleration
  • Linear transport theory
  • non-linear extrapolation
  • source iteration acceleration

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Transportation

Cite this

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abstract = "Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.",
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author = "Paolo Picca and Roberto Furfaro and Ganapol, {Barry D.}",
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AB - Our paper presents a comparison of the extrapolated-based acceleration of source iteration (SI) techniques against classical acceleration schemes. The basis of the SI method is reviewed before presenting its combination with non-linear extrapolations. Two acceleration strategies are discussed, one based on the extrapolation of the source term for the SIs and the other based on the acceleration of the solution itself. Their performances are compared with classical acceleration techniques (diffusion synthetic acceleration and transport synthetic acceleration, showing the effectiveness of the combination of extrapolation with standard acceleration schemes.

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KW - non-linear extrapolation

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