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          Institute: MPI für Meteorologie     Collection: Ocean in the Earth System     Display Documents



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ID: 256357.0, MPI für Meteorologie / Ocean in the Earth System
A semi-implicit method conserving mass and potential vorticity for the shallow water equations on the sphere
Authors:Bonaventura, L.; Kornblueh, L.; Heinze, T.; Ripodas, P.
Language:English
Date of Publication (YYYY-MM-DD):2005-03-20
Title of Journal:International Journal for Numerical Methods in Fluids
Journal Abbrev.:Int. J. Numer. Methods Fluids
Volume:47
Issue / Number:8-9
Start Page:863
End Page:869
Copyright:Copyright 2004 John Wiley & Sons, Ltd.
Review Status:Peer-review
Audience:Experts Only
Abstract / Description:A semi-implicit discretization for the shallow water equations is discussed, which uses triangular
Delaunay cells on the sphere as control volumes and conserves mass and potential vorticity. The
geopotential gradient, the Coriolis force terms and the divergence of the velocity eld are discretized
implicitly, while an explicit time discretization is used for the non-linear advection terms. The results
obtained with a preliminary implementation on some idealized test cases are presented, showing that the
main features of large scale atmospheric ows are well represented by the proposed method.
Free Keywords:shallow water equations; semi-implicit methods; icosahedral grid; vorticity preserving methods; Delaunay triangulations
External Publication Status:published
Document Type:Article
Communicated by:Carola Kauhs
Affiliations:MPI für Meteorologie/Ocean in the Earth System
External Affiliations:Deutscher Wetterdienst, D-63067 Offenbach, Germany.
Identifiers:ISI:000227883100017
ISSN:0271-2091
DOI:10.1002/fld.857
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