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An overlapping mesh based splitting method for the incompressible Navier-Stokes equations
Umeå University, Faculty of Science and Technology, Department of Physics.
2020 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

We present an overlapping mesh based splitting method for solving the incompressible Navier-Stokes equations on unfitted mesh settings. The developed method is based on Nitsche’s method for weakly imposing the interface condition between the overlapping meshes, and it uses a ghost penalty approach for stabilizing the cut elements produced by the mesh intersection. The developed method is tested on the Taylor-Green vortex problem for fluid flows in both the high and low regime of the Reynolds number. The numerical results show optimal order of convergence or higher for the considered space-time error norms in the low Reynolds regime. For the high Reynolds regime, the results are promising but inconclusive for concluding any final convergence rate in time. Suggestions for further studies are to consider a more physically realistic flow such as the benchmark test case of a channel flow around a cylinder, as well as adding some stabilization for convection dominated flows.

Place, publisher, year, edition, pages
2020. , p. 49
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-167731OAI: oai:DiVA.org:umu-167731DiVA, id: diva2:1390685
Subject / course
Examensarbete i teknisk fysik
Educational program
Master of Science Programme in Engineering Physics
Supervisors
Examiners
Available from: 2020-02-03 Created: 2020-02-02 Last updated: 2020-02-03Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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
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  • asciidoc
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