A Primer on the Vertical Lagrangian‐Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates

Griffies, Stephen M.; Adcroft, Alistair; Hallberg, Robert W.

doi:10.1029/2019MS001954

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A Primer on the Vertical Lagrangian‐Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates

2020
By Griffies, Stephen M. ; Adcroft, Alistair ; Hallberg, Robert W.
Source: Journal of Advances in Modeling Earth Systems, 12, e2019MS001954.

[PDF-3.41 MB]

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Journal Title:

Journal of Advances in Modeling Earth Systems
Personal Author:

Griffies, Stephen M. ; Adcroft, Alistair ; Hallberg, Robert W.

Griffies, Stephen M. ; Adcroft, Alistair ; Hallberg, Robert W. Less -
NOAA Program & Office:

OAR (Oceanic and Atmospheric Research) ; GFDL (Geophysical Fluid Dynamics Laboratory) ; CIMES (Cooperative Institute for Modeling the Earth System)

OAR (Oceanic and Atmospheric Research) ; GFDL (Geophysical Fluid Dynamics Laboratory) ; CIMES (Cooperative Institute for Modeling the Earth System) Less -
Description:

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.
Keywords:

[+]

Finite Volume Methods Fluid Mechanics Ocean Model Equations Oceanography Vertical Coordinates
Source:

Journal of Advances in Modeling Earth Systems, 12, e2019MS001954.
DOI:

https://doi.org/10.1029/2019MS001954
Document Type:

Journal Article
Funding:

Grant no. NA18OAR4320123
Rights Information:

CC BY
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Submitted
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urn:sha256:5c544cbde4e6a2bc255f520ad9187dd8dc680dd8e701e703f282b124b7752fdd
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https://repository.library.noaa.gov/view/noaa/29688/noaa_29688_DS1.pdf
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A Primer on the Vertical Lagrangian‐Remap Method in Ocean Models Based on Finite Volume Generalized Vertical Coordinates

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