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An inherently mass-conserving semi-implicit semi-Lagrangian discretisation of the shallow-water equations on the sphere

✍ Scribed by M. Zerroukat; N. Wood; A. Staniforth; A. A. White; J. Thuburn

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
674 KB
Volume
135
Category
Article
ISSN
0035-9009

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✦ Synopsis

Abstract

For the shallow‐water equations on the sphere, an inherently mass‐conserving semi‐Lagrangian discretisation (SLICE) of the continuity equation is coupled with a semi‐implicit semi‐Lagrangian discretisation of the momentum equations. Various tests from the literature (two with analytical nonlinear solutions) are used to assess the model's performance and also to compare it with that of a variant model that instead employs a standard non‐conserving semi‐implicit semi‐Lagrangian discretisation of the continuity equation. The mass‐conserving version gives results that are overall somewhat better than the non‐conserving one. Copyright © 2009 Royal Meteorological Society and Crown Copyright

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