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The influence of weak and strong solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations
FOI, Swedish Defence Research Agency.
Uppsala university.ORCID iD: 0000-0003-1216-1672
Uppsala university ; FOI, Swedish Defence Research Agency.
2009 (English)In: 19th AIAA Computational Fluid Dynamics Conference 2009, American Institute of Aeronautics and Astronautics, 2009, article id 3551Conference paper, Published paper (Refereed)
Abstract [en]

In the present paper we study the influence of weak and strong no-slip solid wall boundary conditions on the convergence to steady-state. Our Navier-Stokes solver is edge based and operates on unstructured grids. The two types of boundary conditions are applied to no-slip adiabatic walls. The two approaches are analyzed for a simplified model problem and the reason for the different convergence rates are discussed in terms of the theoretical findings for the model problem. Numerical results for a 2D viscous steady state low Reynolds number problem show that the weak boundary conditions often provide faster convergence. It is shown that strong boundary conditions can prevent the steady state convergence. It is also demonstrated that the two approaches converge to the same solution. Similar results are obtained for high Reynolds number flow in two and three dimensions.

Place, publisher, year, edition, pages
American Institute of Aeronautics and Astronautics, 2009. article id 3551
Series
Conference Proceeding Series ; 2009-3551
National Category
Computational Mathematics
Research subject
Mathematics, Applied Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-77777DOI: 10.2514/6.2009-3551ISBN: 9781563479755 (print)OAI: oai:DiVA.org:lnu-77777DiVA, id: diva2:1248218
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: 2018-10-09Bibliographically 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
  • Other style
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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