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A New Well-posed Vorticity Divergence Formulation of the Shallow Water Equations
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
Institute of Geophysics, University of Tehran, Iran.
2015 (English)In: Ocean Modelling, ISSN 1463-5003, E-ISSN 1463-5011, Vol. 93, 1-6 p.Article in journal (Refereed) Published
Abstract [en]

A new vorticity–divergence formulation of the two-dimensional shallow water equations including boundary conditions is derived. The new formulation is necessary since the conventional one does not lead to a well-posed initial boundary value problem for limited-area modelling.

The new vorticity–divergence formulation includes four dependent variables instead of three and requires more equations and boundary conditions than the conventional formulation. On the other hand, it forms a hyperbolic set of equations with well-defined boundary conditions that leads to a well-posed problem with bounded energy.

Place, publisher, year, edition, pages
Elsevier, 2015. Vol. 93, 1-6 p.
Keyword [en]
shallow water equations, vorticity, divergence, energy estimates, well posed problems, boundary conditions
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-120583DOI: 10.1016/j.ocemod.2015.07.001ISI: 000360980600001OAI: diva2:846630
Available from: 2015-08-17 Created: 2015-08-17 Last updated: 2015-10-07

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