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Dual Time-Stepping Using Second Derivatives
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-5555-9544
2019 (English)Report (Other academic)
Abstract [en]

We present a modied formulation of the dual time-stepping technique which makes use of two derivatives in pseudo-time. This new technique retains and improves the convergence properties to the stationary solution. When compared with the conventional dual time-stepping, the method with two derivatives reduces the stiness of the problem and requires fewer iterations for full convergence to steady-state. In the current formulation, these positive eects require that an approximation of the square root of the spatial operator is available and inexpensive.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2019. , p. 30
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2019:10
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-160010ISRN: LiTH-MAT-R-2019/10-SEOAI: oai:DiVA.org:liu-160010DiVA, id: diva2:1347849
Available from: 2019-09-02 Created: 2019-09-02 Last updated: 2019-09-13Bibliographically approved

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Nordström, JanRuggiu, Andrea Alessandro
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CiteExportLink to record
Permanent link

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Cite
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
  • text
  • asciidoc
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