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Summation-by-parts Operators with Minimal Dispersion Error for Accurate and Efficient Flow Calculations
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
SMHI, SE-601 76 Norrköping, Sweden.
Technion, Haifa, Israel 320003.
Technion, Haifa, Israel 320003.
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2016 (English)Conference paper, Published paper (Refereed)
Abstract [en]

We develop summation-by-parts operators with minimal dispersion errors both near and far from boundaries and interfaces. Such operators are superior to classical stencils for problems involving high frequency waves or multi-frequency solutions over long time intervals with a relatively coarse spatial mesh. This is demonstrated by solving the Taylor-Green vortex flow with optimised and classical operators both in a purely periodic setting as well as in the presence of numerical interfaces.

Place, publisher, year, edition, pages
2016.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-124210DOI: 10.2514/6.2016-1329OAI: oai:DiVA.org:liu-124210DiVA: diva2:896704
Conference
54th AIAA Aerospace Sciences Meeting, AIAA SciTech, (AIAA 2016-1329).
Available from: 2016-01-22 Created: 2016-01-22 Last updated: 2016-01-22

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Summation-by-parts Operators with Minimal Dispersion Error for Accurate and Efficient Flow Calculations(1137 kB)99 downloads
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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