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DOI10.1029/2019MS001954
A Primer on the Vertical Lagrangian-Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates
Griffies S.M.; Adcroft A.; Hallberg R.W.
发表日期2020
ISSN19422466
卷号12期号:10
英文摘要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. © 2020. The Authors.
英文关键词finite volume methods; fluid mechanics; generalized vertical coordinates; ocean model equations; oceanography; vertical Lagrangian remapping
语种英语
scopus关键词Budget control; Integral equations; Lagrange multipliers; Oceanography; Mathematical frameworks; Mathematical structure; Numerical algorithms; Ocean state; Strong formulations; Thought experiments; Vertical coordinates; Weak formulation; Numerical methods; algorithm; experimental study; finite volume method; Lagrangian analysis; Lotka-Volterra model; model
来源期刊Journal of Advances in Modeling Earth Systems
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/156610
作者单位NOAA/GFDL, Princeton, NJ, United States; Program in Atmospheric and Oceanic Sciences, Princeton University, Princeton, NJ, United States
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Griffies S.M.,Adcroft A.,Hallberg R.W.. A Primer on the Vertical Lagrangian-Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates[J],2020,12(10).
APA Griffies S.M.,Adcroft A.,&Hallberg R.W..(2020).A Primer on the Vertical Lagrangian-Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates.Journal of Advances in Modeling Earth Systems,12(10).
MLA Griffies S.M.,et al."A Primer on the Vertical Lagrangian-Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates".Journal of Advances in Modeling Earth Systems 12.10(2020).
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