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A conservative leapfrog time stepping method

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
1463-5003
88-94
Leclair, Matthieu
7f996874-2f77-48e7-b2bb-a9e101d623d2
Madec, Gurvan
ffb28deb-4bbd-4a4c-914f-492f813e4864
Leclair, Matthieu
7f996874-2f77-48e7-b2bb-a9e101d623d2
Madec, Gurvan
ffb28deb-4bbd-4a4c-914f-492f813e4864

Leclair, Matthieu and Madec, Gurvan (2009) A conservative leapfrog time stepping method. Ocean Modelling, 30 (2-3), 88-94. (doi:10.1016/j.ocemod.2009.06.006).

Record type: Article

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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More information

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: 08 Jan 2022 02:22

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Contributors

Author: Matthieu Leclair
Author: Gurvan Madec

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