Using a resolution function to regulate parameterizations of oceanic mesoscale eddy effects
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Cites background or methods from "Using a resolution function to regu..."
...The Laplacian viscosity is scaled to 529 zero wherever the first baroclinic deformation is resolved, namely in the tropics, using the 530 resolution function of [Hallberg, 2013]....
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...The mesoscale eddy parameterization is not active in the tropical region (following Hallberg, 2013), so it is unknown if the eddy parameterization would reduce the differences found in the tropics....
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...The extremely inhomogeneous nature of mesoscale eddy scales over the World Ocean requires even finer resolution before legitimately laying claim to numerical convergence at the mesoscale (see Figure 1 of Hallberg, 2013)....
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...The Laplacian viscosity is scaled to zero wherever the first baroclinic deformation is resolved, namely in the tropics, using the resolution function of Hallberg (2013)....
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...This horizontal grid permits mesoscale eddies over much of the tropical and subtropical oceans (see Figure 1 from Hallberg, 2013)....
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References
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"Using a resolution function to regu..." refers background in this paper
...The dominant spatial scales of baroclinic ocean mesoscale eddies can be broadly characterized by the first baroclinic deformation radius, which is the distance that a nonrotating first-mode internal gravity wave would propagate in one inertial timescale (e.g. Gill, 1982)....
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...…by cg ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi gDqh1h2 q0 h1 þ h2ð Þ s ; ð4Þ although in the general multilayered or continuously stratified case cg is given by the second largest eigenvalue of the normal mode decomposition equation (see chapter 6 of Gill, 1982)....
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5,558 citations
"Using a resolution function to regu..." refers background in this paper
...In idealized models of baroclinic instability, the upper and lower bounds of unstable wavelengths are proportional to the deformation radius, while the most unstable wavenumber is the inverse of the deformation radius (see, e.g., the textbook by Pedlosky (1987))....
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...…including necessary conditions for the growth of instabilities, the growth rate, energetics and vertical structure of the exponentially growing linear modes can be calculated analytically, as has been documented in many textbooks on geophysical fluid dynamics (e.g. Pedlosky, 1987; Vallis, 2006)....
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3,107 citations
"Using a resolution function to regu..." refers methods in this paper
...…based on the extraction of available potential energy via the diffusion of isopycnal heights in layered models was the original inspiration for the Gent and McWilliams (1990) parameterization in z-coordinate models, and this parameterization is the equivalent in this two-layered system....
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1,290 citations
"Using a resolution function to regu..." refers background in this paper
...E-mail address: Robert.Hallberg@noaa.gov 1 This is just a simple function that goes smoothly between the appropriate equatorial and mid-latitude definitions of the deformation radius without the need for any arbitrary transition latitude (see, e.g. Chelton et al., 1998)....
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