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A New High Order Energy and Enstrophy Conserving Arakawa-like Jacobian Differential Operator
Department of Mathematics, Royal Institute of Technology (KTH), SE-100 44 Stockholm, Sweden.
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
2015 (English)Report (Other academic)
Abstract [en]

A new high order Arakawa-like method for the incompressible vorticity equation in two-dimensions has been developed. Mimetic properties such as skewsymmetry, energy and enstrophy conservations for the semi-discretization are proved for periodic problems using arbitrary high order summation-by-partsoperators. Numerical simulations corroborate the theoreticalfindings.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2015. , 21 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2015:05
Keyword [en]
non-linear problems, summation-by-parts operators, Jacobian, mimetic schemes, high-order schemes, stability, finite difference
National Category
Mathematics Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-115254ISRN: LiTH-MAT-R--2015/05--SEOAI: oai:DiVA.org:liu-115254DiVA: diva2:794372
Available from: 2015-03-11 Created: 2015-03-11 Last updated: 2015-03-12Bibliographically approved

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New High Order Energy and Enstrophy Conserving Arakawa-like Jacobian Differential Operator(1197 kB)250 downloads
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La Cognata, CristinaNordström, Jan
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • 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
  • rtf