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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, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
Institute of Geophysics, University of Tehran, Tehran, Iran.
2014 (English)Report (Other academic)
Abstract [en]

A completely 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 include four dependent variables instead of three, and require more equations and boundary conditions than the conventional formulation. On the other hand, it forms a symmetrizable hyperbolic set of equations with well defined boundary conditions that leads to a well-posed problem with a bounded energy.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 21 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2014:20
National Category
Computational Mathematics Mathematics
URN: urn:nbn:se:liu:diva-111642ISRN: LiTH-MAT-R--2014/20--SEOAI: diva2:758442
Available from: 2014-10-27 Created: 2014-10-27 Last updated: 2014-10-27

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Nordström, Jan
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