A conservative leapfrog time stepping method |
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| Authors: | Matthieu Leclair Gurvan Madec |
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| Institution: | aLaboratoire d’Océanographie et du Climat: Expérimentation et Approches Numériques (LOCEAN), Paris, France;bNational Oceanography Centre, Southampton (NOCS), UK |
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| 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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| Keywords: | Leapfrog Tracer conservation NEMO |
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