Revisiting well-posed boundary conditions for the shallow water equations
2014 (English)In: Dynamics of atmospheres and oceans (Print), ISSN 0377-0265, Vol. 66, 1-9 p.Article in journal (Refereed) Published
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.
Shallow water equations;Well-posedness;Boundary conditions;Energy method;Subcritical;Supercritical
IdentifiersURN: urn:nbn:se:liu:diva-103645DOI: 10.1016/j.dynatmoce.2014.01.002ISI: 000338394500001OAI: oai:DiVA.org:liu-103645DiVA: diva2:689725