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Analysis of mesh and boundary effects on the accuracy of node-centered finite volume schemes
Uppsala University.ORCID iD: 0000-0003-1216-1672
FOI, Swedish Defence Research Agency.
2009 (English)In: 19th AIAA Computational Fluid Dynamics Conference, American Institute of Aeronautics and Astronautics, 2009, article id 3651Conference paper, Published paper (Refereed)
Abstract [en]

The accuracy of the node-centered finite volume method in one-dimension is analyzed. Numerical simulations and analysis are performed for both a hyperbolic and a elliptic case, for various types of grids. The results from the simulations agree with the analysis. The boundary conditions are implemented weakly using penaly technique. For the hyperbolic case we see that the type of grid has large impact on the order of accuracy, whereas the choice of penaly parameter only affect the error constant. For the elliptic case the grid has less impact on the order of accuracy. For both the hyperbolic and elliptic problem we show that the error contribution from the primal and dual grid can be treated separately.

Place, publisher, year, edition, pages
American Institute of Aeronautics and Astronautics, 2009. article id 3651
Series
Conference Proceeding Series ; 2009-3651
National Category
Computational Mathematics Computer Sciences
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-77776DOI: 10.2514/6.2009-3651ISBN: 9781563479755 (print)OAI: oai:DiVA.org:lnu-77776DiVA, id: diva2:1248215
Conference
19th AIAA Computational Fluid Dynamics, 22-25 June 2009, San Antonio, USA, 2009
Available from: 2018-09-14 Created: 2018-09-14 Last updated: 2018-10-10Bibliographically approved

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Eriksson, Sofia

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