A conservative leapfrog time stepping method

doi:10.1016/j.ocemod.2009.06.006

2009-01-01

PRE

Matthieu Leclair *

Gurvan Madec

DOI：10.1016/j.ocemod.2009.06.006

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摘要

En 中文

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). (C) 2009 Elsevier Ltd. All rights reserved.

Keyword:

Leapfrog

Tracer conservation

NEMO

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Ocean Modelling

IF:

2.9

论文数:

2.2K

被引数:

5.4K

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Sorbonne Universite

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被引数: 605

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