A General-Coordinate, Nonlocal Neutral Diffusion Operator

Shao, Andrew E.; Adcroft, Alistair; Hallberg, Robert; Griffies, Stephen M.

doi:10.1029/2019MS001992

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i

A General-Coordinate, Nonlocal Neutral Diffusion Operator

2020
By Shao, Andrew E. ; Adcroft, Alistair ; Hallberg, Robert ; ...
Source: Journal of Advances in Modeling Earth Systems, 12(12)

[PDF-2.87 MB]

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Journal Title:

Journal of Advances in Modeling Earth Systems
Personal Author:

Shao, Andrew E. ; Adcroft, Alistair ; Hallberg, Robert ; Griffies, Stephen M.

Shao, Andrew E. ; Adcroft, Alistair ; Hallberg, Robert ; Griffies, Stephen M. 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:

We present a neutral diffusion operator appropriate for an ocean model making use of general vertical coordinates. The diffusion scheme uses polynomial reconstructions in the vertical, along with a horizontally local but vertically nonlocal stencil for estimates of tracer fluxes. These fluxes are calculated on a vertical grid that is the superset of model columns in a neutral density space. Using flux-limiters, the algorithm dissipates tracer extrema locally, and no new extrema are created. A demonstration using a linear equation of state in an idealized configuration shows that the algorithm is perfectly neutral. When using the nonlinear TEOS-10 equation of state with a constant reference pressure, the algorithm compares nearly exactly to a case discretized onto isopycnal surfaces and using along-layer diffusion. The algorithm's cost is comparable to that of tracer advection and can be readily implemented into ocean general circulation models.
Keywords:

[+]

Ocean Physics
Source:

Journal of Advances in Modeling Earth Systems, 12(12)
DOI:

https://doi.org/10.1029/2019MS001992
Document Type:

Journal Article
Funding:

Grant no. NA18OAR4320123
Rights Information:

CC BY-NC
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Submitted
Main Document Checksum:

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urn:sha256:67f3083be75bd091186309d997ec95f3e89f2bcabe24fd56b80040a603617837
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https://repository.library.noaa.gov/view/noaa/27691/noaa_27691_DS1.pdf
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A General-Coordinate, Nonlocal Neutral Diffusion Operator

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