A New Well-posed Vorticity Divergence Formulation of the Shallow Water Equations
2014 (English)Report (Other academic)
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
Computational Mathematics Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-111642ISRN: LiTH-MAT-R--2014/20--SEOAI: oai:DiVA.org:liu-111642DiVA: diva2:758442