liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
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
Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
Linköping University, Department of Mathematics, Scientific Computing. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
Uppsala University.
Swedish Def Research Agency.
2012 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 231, no 14, 4867-4884 p.Article in journal (Refereed) Published
Abstract [en]

We study the influence of different implementations of no-slip solid wall boundary conditions on the convergence to steady-state of the Navier-Stokes equations. The various approaches are investigated using the energy method and an eigenvalue analysis. It is shown that the weak implementation is superior and enhances the convergence to steady-state for coarse meshes. It is also demonstrated that all the stable approaches produce the same convergence rate as the mesh size goes to zero. The numerical results obtained by using a fully nonlinear finite volume solver support the theoretical findings from the linear analysis. 

Place, publisher, year, edition, pages
Elsevier , 2012. Vol. 231, no 14, 4867-4884 p.
Keyword [en]
Navier-Stokes, Steady-state, Boundary conditions, Convergence, Summation-by-parts
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-78575DOI: 10.1016/j.jcp.2012.04.007ISI: 000304257600021OAI: oai:DiVA.org:liu-78575DiVA: diva2:534161
Note
Funding Agencies|European Commission|ACP0-GA-2010-265780|Available from: 2012-06-15 Created: 2012-06-15 Last updated: 2017-12-07

Open Access in DiVA

fulltext(3668 kB)414 downloads
File information
File name FULLTEXT01.pdfFile size 3668 kBChecksum SHA-512
b0ac849b13cba93c5b6fabd24b61d3b04d3e7f42a7010d219b5f0be9a384157cef7f207c1d5923c5ab773f0c535fd9c7190629b77d5eebc1b9d2ab70dd4786ee
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Nordström, Jan

Search in DiVA

By author/editor
Nordström, Jan
By organisation
Scientific ComputingThe Institute of Technology
In the same journal
Journal of Computational Physics
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 414 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 294 hits
CiteExportLink to record
Permanent link

Direct link
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