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DOI | 10.1029/2019MS001954 |
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 |
ISSN | 19422466 |
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
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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 |
推荐引用方式 GB/T 7714 | 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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