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Revisiting well-posed boundary conditions for the shallow water equations
Institute of Geophysics, University of Tehran, Iran.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
2014 (English)In: Dynamics of atmospheres and oceans (Print), ISSN 0377-0265, Vol. 66, 1-9 p.Article in journal (Refereed) Published
Abstract [en]

We derive a general form of well-posed open 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. The boundary conditions are also discussed for a rectangular domain. We compare the results with a number of often used open boundary conditions and show that they are a subset of the derived general form.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 66, 1-9 p.
Keyword [en]
Shallow water equations;Well-posedness;Boundary conditions;Energy method;Subcritical;Supercritical
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-103645DOI: 10.1016/j.dynatmoce.2014.01.002ISI: 000338394500001OAI: diva2:689725
Available from: 2014-01-21 Created: 2014-01-21 Last updated: 2014-08-12Bibliographically approved

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Nordström, Jan
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