2000
DOI: 10.1175/1520-0493(2000)128<2935:bfwasl>2.0.co;2
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Biharmonic Friction with a Smagorinsky-Like Viscosity for Use in Large-Scale Eddy-Permitting Ocean Models

Abstract: This paper discusses a numerical closure, motivated from the ideas of Smagorinsky, for use with a biharmonic operator. The result is a highly scale-selective, state-dependent friction operator for use in eddy-permitting geophysical fluid models. This friction should prove most useful for large-scale ocean models in which there are multiple regimes of geostrophic turbulence. Examples are provided from primitive equation geopotential and isopycnal-coordinate ocean models.

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Cited by 386 publications
(293 citation statements)
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References 36 publications
(44 reference statements)
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“…OFAM3 uses the vertical mixing scheme described by Chen et al (1994), and a biharmonic Smagorinsky viscosity scheme described by Griffies and Hallberg (2000) OFAM3 is forced with 1.5 • -resolution, 3-hourly surface heat, freshwater, and momentum fluxes from ERA-Interim (Dee and Uppala, 2009). Surface temperature is restored to monthly averaged observations with a nominal restoring timescale of 10 days.…”
Section: Model Configurationmentioning
confidence: 99%
See 1 more Smart Citation
“…OFAM3 uses the vertical mixing scheme described by Chen et al (1994), and a biharmonic Smagorinsky viscosity scheme described by Griffies and Hallberg (2000) OFAM3 is forced with 1.5 • -resolution, 3-hourly surface heat, freshwater, and momentum fluxes from ERA-Interim (Dee and Uppala, 2009). Surface temperature is restored to monthly averaged observations with a nominal restoring timescale of 10 days.…”
Section: Model Configurationmentioning
confidence: 99%
“…The explicit horizontal diffusion is zero. Horizontal viscosity is resolution-and state-dependent using a biharmonic Smagorinsky viscosity scheme (Griffies and Hallberg, 2000), with an isotropic parameter of 3.0 and an anisotropic parameter of 3.0.…”
Section: A6 Mixing Parameterisationsmentioning
confidence: 99%
“…A biharmonic operator is used for horizontal turbulent mixing with 1.0 × 10 10 m 4 s −1 as diffusivity coefficient. A biharmonic friction with a Smagorinsky-like viscosity [Griffies and Hallberg, 2000] is used for momentum. The vertical viscosity and diffusivity are determined by the turbulent closure scheme of Noh and Kim [1999].…”
Section: A1 Dynamical Modelmentioning
confidence: 99%
“…The generalized Arakawa scheme [Ishizaki and Motoi, 1999] is used for momentum advection to conserve quasi-enstrophy. We adopted Smagorinsky-like biharmonic horizontal mixing of momentum [Griffies and Hallberg, 2000]. For horizontal and vertical advection of tracers, the Uniformly Third-Order Polynomial Interpolation Algorithm (UTOPIA) [Leonard et al, 1994] and the Quadratic Upstream Interpolation for Convective Kinematics with Estimated Streaming Terms (QUICKEST) [Leonard, 1979] schemes, respectively, were adopted.…”
Section: Model and Experimentsmentioning
confidence: 99%