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Efficient Fully Discrete Summation-by-parts Schemes for Unsteady Flow Problems
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2014 (English)Report (Other academic)
Abstract [en]

We make an initial investigation into the numerical efficiency of a fully discrete summation-by-parts approach for unsteady flows. As a model problem for the Navier-Stokes equations we consider a two-dimensional advection-diffusion problem with a boundary layer. The problem is discretized in space using finite difference approximations on summation-by-parts form together with weak boundary conditions, leading to optimal stability estimates. For the time integration part we consider various forms of high order summation-by-parts operators, and compare the results to other popular high order methods. To solve the resulting fully discrete equation system, we employ a multi-grid scheme with dual time stepping.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 17 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2014:18
Keyword [en]
unsteady flow calculations, time integration, initial value problems, high order accuracy, summation-by-parts operators, stability, efficiency.
National Category
Computational Mathematics Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-111167ISRN: LiTH-MAT-R--2014/18--SEOAI: oai:DiVA.org:liu-111167DiVA: diva2:754172
Available from: 2014-10-09 Created: 2014-10-09 Last updated: 2014-10-22

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Efficient Fully Discrete Summation-by-parts Schemes for Unsteady Flow Problems(1495 kB)268 downloads
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Lundquist, TomasNordström, Jan

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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