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Increasing the convergence rate to steady-state by using multiple penalty terms applied in a domain
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2013 (English)In: AIAA Aerospace Sciences - Fluid Sciences Event, 2013, 1-9 p.Conference paper, Published paper (Other academic)
Abstract [en]

We introduce a new weak boundary procedure for high order finite difference methods applied to the linearized Euler and Navier-Stokes equations using summation-by-parts operators. Stability is obtained by using weak boundary conditions on penalty form. We demonstrate how to add on multiple penalties in the near boundary domain such that stability is preserved and an increased speed of convergence to steady-state is obtained.

Place, publisher, year, edition, pages
2013. 1-9 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-96592DOI: 10.2514/6.2013-2957OAI: oai:DiVA.org:liu-96592DiVA: diva2:642317
Conference
21st AIAA Computational Fluid Dynamics Conference 24 - 27 June 2013 San Diego, California
Available from: 2013-08-21 Created: 2013-08-21 Last updated: 2014-12-03

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fulltext(650 kB)85 downloads
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Frenander, HannesNordström, Jan

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CiteExportLink to record
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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