A semi-implicit method conserving mass and potential vorticity for the shallow 
water equations on the sphere

Bonaventura, L.; Kornblueh, L.; Heinze, T.; Ripodas, P.

doi:10.1002/fld.857

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

A semi-implicit method conserving mass and potential vorticity for the shallow water equations on the sphere

MPS-Authors

/persons/resource/persons37108

Bonaventura, L.
The Ocean in the Earth System, MPI for Meteorology, Max Planck Society;

/persons/resource/persons37214

Kornblueh, L.
The Ocean in the Earth System, MPI for Meteorology, Max Planck Society;
Director’s Research Group OES, The Ocean in the Earth System, MPI for Meteorology, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Bonaventura, L., Kornblueh, L., Heinze, T., & Ripodas, P. (2005). A semi-implicit method conserving mass and potential vorticity for the shallow water equations on the sphere. International Journal for Numerical Methods in Fluids, 47(8-9), 863-869. doi:10.1002/fld.857.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-FF10-8

Abstract

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.