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A stable, high order accurate and efficient hybrid method for flow calculations in complex geometries
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2018 (English)In: 2018 AIAA Aerospace Sciences Meeting, AIAA SciTech Forum, (AIAA 2018-1096), American Institute of Aeronautics and Astronautics, 2018, no 210059, p. 1-9Conference paper, Published paper (Refereed)
Abstract [en]

The suitability of a discretization method is highly dependent on the shape of the domain. Finite difference schemes are typically efficient, but struggle with complex geometry, while finite element methods are expensive but well suited for complex geometries. In this paper we propose a provably stable hybrid method for a 2D advection–diffusion problem, using a class of inner product compatible projection operators to couple the non-conforming grids that arise due to varying the discretization method throughout the domain.

Place, publisher, year, edition, pages
American Institute of Aeronautics and Astronautics, 2018. no 210059, p. 1-9
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-154082DOI: 10.2514/6.2018-1096Scopus ID: 2-s2.0-85044403973ISBN: 9781624105241 (electronic)ISBN: 9781510857032 (print)OAI: oai:DiVA.org:liu-154082DiVA, id: diva2:1283236
Conference
56th AIAA Aerospace Sciences Meeting 2018, Kissimmee, Florida, USA, 8-12 January 2018
Available from: 2019-01-28 Created: 2019-01-28 Last updated: 2019-01-28Bibliographically approved

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A stable, high order accurate and efficient hybrid method for flow calculations in complex geometries(600 kB)13 downloads
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Ålund, OskarNordström, Jan

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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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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
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  • Other locale
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Output format
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