Biharmonic Friction with a Smagorinsky-Like Viscosity for Use in Large-Scale Eddy-Permitting Ocean Models

By S. Griffies, Robert Hallberg. 2000

487 citations recorded by the source corpus.

Subfields: Atmospheric Science, Molecular Biology, Oceanography

View Paper: https://www.semanticscholar.org/paper/db416b1759f1b9ff1d5ec58de83e33d4c02bea35

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Citations in the corpus

Towards a dynamically balanced eddy-resolving ocean reanalysis: BRAN3 (2013, methodology): “To accommodate the inhomogeneous resolu-113 tion, the horizontal viscosity is resolution and state-dependent, based on the114 Smagorinsky scheme (Griffies and Hallberg, 2000).”
Using a resolution function to regulate parameterizations of oceanic mesoscale eddy effects (2013, methodology): “The horizontal stress tensor, T, is parameterized with a shear and resolution dependent Smagorinsky biharmonic viscosity (Griffies and Hallberg, 2000).”
The Parallel Ocean Program (POP) reference manual: Ocean component of the Community Climate System Model (CCSM) (2010, background): “An alternate approach (not implemented in the code) is to include the square-root of −AM inside the second derivative of each harmonic operator (Griffies and Hallberg, 2000).”
The pros and cons of diffusion, filters and fixers in Atmospheric General Circulation Models (2011, methodology): “commonly used in large-scale ocean models as outlined in Griffies and Hallberg (2000). Griffies and Hallberg (2000) even extended the definition of KH to incor-”
Mixed Layer Instabilities and Restratification (2007, methodology): “A Smagorinsky (1963) harmonic nonlinear horizontal viscosity is used with nondimensional constant 4.0 [implemented on the C-grid as per Griffies and Hallberg (2000) ].”
The Role of Eddies in Determining the Structure and Response of the Wind-Driven Southern Hemisphere Overturning: Results from the Modeling Eddies in the Southern Ocean (MESO) Project (2006, methodology): “In this limit, the overturning in density space is tightly linked to the wind stress and the density-space overturning streamfunction changes by the same amount as the Ekman transport (Gnanadesikan and Hallberg 2000).”
Equatorial Circulation of a Global Ocean Climate Model with Anisotropic Horizontal Viscosity (2001, background): “Grima et al. (1999) report more realistic equatorial current variability with scatterometer wind forcing than with winds from an atmospheric model.”
Fundamentals of Ocean Climate Models (2004, methodology): “It is common to additionally assume that frictional stresses maintain transverse isotropy in which gravity picks out the only special direction (e.g., Smagorinsky, 1993; Pacanowski and Griffies, 1999; Griffies and Hallberg, 2000).”
The GFDL Global Ocean and Sea Ice Model OM4.0: Model Description and Simulation Features (2019, background): “…_r ¼ ð∂z=∂z*ÞDz*=Dt , which is close to the familiar vertical velocity component Dz/Dt. Viscous dissipation (Laplacian and biharmonic friction following Griffies & Hallberg, 2000) and mechanical boundary forces (winds, bottom stress) contribute to the divergence of the deviatoric (symmetric and…”