A conservative leapfrog time stepping method

Leclair, Matthieu; Madec, Gurvan. 2009 A conservative leapfrog time stepping method. Ocean Modelling, 30 (2-3). 88-94.

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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).

Item Type: Publication - Article
Digital Object Identifier (DOI):
ISSN: 1463-5003
Additional Keywords: Leapfrog; Tracer conservation; NEMO
Date made live: 01 Sep 2009 +0 (UTC)

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