A conservative leapfrog time stepping method
A conservative leapfrog time stepping method
This paper addresses the issue of the non conservation of tracer that occurs when a leapfrog time stepping scheme is used in association with a Robert-Asselin time filter within the framework of a time varying vertical coordinate system. A re-formulation of both the forcing and filtering terms that provides a globally conservative scheme is presented. Local conservation is then achieved when the model levels and subsequently the sea surface height satisfy a local compatibility condition. The properties of the resulting scheme are illustrated by a global coupled ocean–sea ice model based on the Nucleus for European Modelling of the Ocean (NEMO).
Leapfrog, Tracer conservation, NEMO
88-94
Leclair, Matthieu
7f996874-2f77-48e7-b2bb-a9e101d623d2
Madec, Gurvan
ffb28deb-4bbd-4a4c-914f-492f813e4864
2009
Leclair, Matthieu
7f996874-2f77-48e7-b2bb-a9e101d623d2
Madec, Gurvan
ffb28deb-4bbd-4a4c-914f-492f813e4864
Abstract
This paper addresses the issue of the non conservation of tracer that occurs when a leapfrog time stepping scheme is used in association with a Robert-Asselin time filter within the framework of a time varying vertical coordinate system. A re-formulation of both the forcing and filtering terms that provides a globally conservative scheme is presented. Local conservation is then achieved when the model levels and subsequently the sea surface height satisfy a local compatibility condition. The properties of the resulting scheme are illustrated by a global coupled ocean–sea ice model based on the Nucleus for European Modelling of the Ocean (NEMO).
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Published date: 2009
Keywords:
Leapfrog, Tracer conservation, NEMO
Identifiers
Local EPrints ID: 67644
URI: http://eprints.soton.ac.uk/id/eprint/67644
ISSN: 1463-5003
PURE UUID: a89d99df-fd64-461a-b642-298c1980af15
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Date deposited: 01 Sep 2009
Last modified: 13 Mar 2024 18:56
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Author:
Matthieu Leclair
Author:
Gurvan Madec
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