期刊
JOURNAL OF ADVANCES IN MODELING EARTH SYSTEMS
卷 12, 期 10, 页码 -出版社
AMER GEOPHYSICAL UNION
DOI: 10.1029/2019MS001954
关键词
oceanography; ocean model equations; vertical Lagrangian remapping; fluid mechanics; finite volume methods; generalized vertical coordinates
资金
- National Oceanic and Atmospheric Administration Geophysical Fluid Dynamics Laboratory
- National Oceanic and Atmospheric Administration [NA18OAR4320123]
This paper provides a primer on the mathematical, physical, and numerical foundations of ocean models that are formulated using finite volume generalized vertical coordinate equations and that use the vertical Lagrangian-remap method to evolve the ocean state. We consider the mathematical structure of the governing ocean equations in both their strong formulation (partial differential equations) and weak formulation (finite volume integral equations), thus enabling an understanding of their physical content and providing a physical-mathematical framework to develop numerical algorithms. A connection is made between the Lagrangian-remap method and the ocean equations as written using finite volume generalized vertical budgets. Thought experiments are offered to exemplify the mechanics of the vertical Lagrangian-remap method and to compare with other methods used for ocean model algorithms.
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