A New Well-posed Vorticity Divergence Formulation of the Shallow Water Equations
2015 (English)In: Ocean Modelling, ISSN 1463-5003, E-ISSN 1463-5011, Vol. 93, 1-6 p.Article in journal (Refereed) Published
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.
shallow water equations, vorticity, divergence, energy estimates, well posed problems, boundary conditions
IdentifiersURN: urn:nbn:se:liu:diva-120583DOI: 10.1016/j.ocemod.2015.07.001ISI: 000360980600001OAI: oai:DiVA.org:liu-120583DiVA: diva2:846630