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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.
LiTH-MAT-R, ISSN 0348-2960 ; 4
Keyword [en]
Shallow water equations, well-posed boundary conditions, energy method, subcritical, supercritical
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-91101ISRN: LiTH-MAT-R--2013/04--SEOAI: diva2:616345
Available from: 2013-04-17 Created: 2013-04-16 Last updated: 2013-08-30Bibliographically approved

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Nordström, Jan
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