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Well-posed boundary conditions for the shallow water equations
Department of Space Physics, Institute of Geophysics, University of Tehran, Tehran, Iran.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2013 (English)Report (Other academic)
Abstract [en]

We derive well-posed boundary conditions for the two-dimensional shallow water equations by using the energy method. Both the number and the type of boundary conditions are presented for subcritical and supercritical flows on a general domain. Then, as an example, the boundary conditions are discussed for a rectangular domain.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2013. , 17 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 4
Keyword [en]
Shallow water equations, well-posed boundary conditions, energy method, subcritical, supercritical
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-91101ISRN: LiTH-MAT-R--2013/04--SEOAI: oai:DiVA.org:liu-91101DiVA: diva2:616345
Available from: 2013-04-17 Created: 2013-04-16 Last updated: 2013-08-30Bibliographically approved

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Well-posed boundary conditions for the shallow water equations(128 kB)1946 downloads
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Nordström, Jan

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CiteExportLink to record
Permanent link

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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