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Summation-by-Parts Operators with Minimal Dispersion Error for Coarse Grid Flow Calculations
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Rossby Centre SMHI, Norrköping, Sweden.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2016 (English)Report (Other academic)
Abstract [en]

We present a procedure for constructing Summation-by-Parts operators with minimal dispersion error both near and far from numerical interfaces. Examples of such operators are constructed and compared with purely periodic stencils as well as non-optimised Summation-by-Parts operators of higher order. Experiments show that the optimised operators are superior for wave propagation and turbulent flows involving large wavenumbers, long solution times and large ranges of resolution scales.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2016. , 34 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2016:7
Keyword [en]
Summation-by-Parts; Dispersion relation; Finite differences; Wave propagation
National Category
Computational Mathematics Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-129447Libris ID: 19712264OAI: oai:DiVA.org:liu-129447DiVA: diva2:939543
Available from: 2016-06-20 Created: 2016-06-20 Last updated: 2016-09-28Bibliographically approved

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Linders, ViktorNordström, Jan

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf