A closure for meso-scale eddy fluxes based on linear instability theory

Ocean Modelling

Volumn 39, Issue 3-4, 2011, Pages 362-369

  Eden, Carsten ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Eddy mixing; Eddy parameterization; Potential vorticity mixing; Zonal jets

Indexed keywords

APPROXIMATE AGREEMENT; AVERAGED MODELS; BACKGROUND FLOW; BUOYANCY FLUXES; CHANNEL MODEL; EDDY MIXING; EDDY PARAMETERIZATION; FERRARI; LATERAL DIFFUSIVITY; LATERAL STRUCTURES; LINEAR INSTABILITIES; LINEAR THEORY; MESOSCALE EDDY; NON-LINEAR; NON-LINEAR MODEL; POTENTIAL VORTICITY; POTENTIAL VORTICITY MIXING; VERTICAL STRUCTURES; ZONAL JETS;

VORTICITY;

MIXING;

BUOYANCY; JET; LINEARITY; MESOSCALE EDDY; NUMERICAL MODEL; PARAMETERIZATION; POTENTIAL VORTICITY; ZONAL FLOW;

EID: 80051545841     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2011.05.009     Document Type: Article

References (26)

1. Abernathey R., Marshall J., Mazloff M., Shuckburgh E. Enhancement of mesoscale eddy stirring at steering levels in the Southern Ocean. J. Phys. Oceanogr. 2010, 40(1):170-184.
2. Andrews D.G., Holton J.R., Leovy C.B. Middle Atmosphere Dynamics 1987, Academic Press.
3. Berloff P., Kamenkovich I., Pedlosky J. A mechanism of formation of multiple zonal jets in the oceans. Journal of Fluid Mechanics 2009, 628(1):395-425.
4. Bretherton F. Critical layer instability in baroclinic flows. Quart. J. Royal Met. Soc. 1966, 92:325-334.
5. Danilov S., Gurarie D. Rhines scale and spectra of the β-plane turbulence with bottom drag. Phys. Rev. E 2002, 65.
6. Dritschel D.G., McIntyre M.E. Multiple jets as PV staircases. The Phillips effect and the resilience of Eddy-transport barriers. J. Atmos. Sci. 2008, 65(3):855-874.
7. Eden C. Thickness diffusivity in the Antarctic Circumpolar Current. Geophys. Res. Letters 2006, 33(L11606). 10.1029/2006GL026157.
8. Eden C. Parameterising meso-scale eddy momentum fluxes based on potential vorticity mixing and a gauge term. Ocean Modell. 2010, 32(1-2):58-71.
9. Eden C., Greatbatch R.J. Towards a mesoscale eddy closure. Ocean Modell. 2008, 20:223-239.
10. Eden C., Greatbatch R.J., Olbers D. Interpreting eddy fluxes. J. Phys. Oceanogr. 2007, 37:1282-1296.
11. Eden C., Greatbatch R.J., Willebrand J. A diagnosis of thickness fluxes in an eddy-resolving model. J. Phys. Oceanogr. 2007, 37:727-742.
12. Ferrari, R., Nikurashin, M., 2010. Suppression of eddy diffusivity across jets in the Southern Ocean. J. Phys. Oceanogr.
13. Ferreira D., Marshall J., Heimbach P. Estimating eddy stresses by fitting dynamics to observations using a residual-mean ocean circulation model and its adjoint. J. Phys. Oceanogr. 2005, 35:1891-1910.
14. Gent P., McWilliams J. Eliassen-Palm fluxes and the momentum equation in non-Eddy-resolving ocean circulation models. J. Phys. Oceanogr. 1996, 26:2539-2546.
15. Gent P.R., McWilliams J.C. Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr. 1990, 20:150-155.
16. Green J.S. Transfer properties of the large-scale eddies and the general circulation of the atmosphere. Quart. J. Royal Met. Soc. 1970, 96:157-185.
17. Griesel A., Gille S., Sprintall J., McClean J., Maltrud M. Assessing eddy heat flux and its parameterization. A wavenumber perspective from a 1/10deg ocean simulation. Ocean Modell. 2009, 29(4):248-260.
18. Killworth P.D. On the parameterization of eddy transfer. Part I. Theory. J. Mar. Res. 1997, 55:1171-1197.
19. Killworth P.D. Boundary conditions on quasi-stokes velocities in parameterisations. J. Phys. Oceanogr. 2001, 31:1132-1155.
20. Marshall J., Shuckburgh E., Jones H., Hill C. Estimates and implications of surface eddy diffusivity in the southern ocean derived from tracer transport. J. Phys. Oceanogr. 2006, 36(9):1806-1821.
21. Marshall J.C. On the parameterization of geostrophic eddies in the ocean. J. Phys. Oceanogr. 1981, 11:1257-1271.
22. Starr V.P. Physics of Negative Vicosity Phenomena 1968, McGraw-Hill, New York, USA.
23. Treguier A.M., Held I.M., Larichev V.D. Parameterization of quasigeostrophic eddies in primitive equation ocean models. J. Phys. Oceanogr. 1997, 27:567-580.
24. Tulloch, R., Marshall, J., Hill, C., Smith, K. Scales, growth rates and spectral fluxes of baroclinic instability in the ocean. J. Phys. Oceanogr.
25. Visbeck M., Marshall J., Haine T., Spall M. Specification of eddy transfer coefficients in coarse-resolution ocean circulation models. J. Phys. Oceanogr. 1997, 27:381-402.
26. Welander P. Lateral friction in the oceans as an effect of potential vorticity mixing. Geophys. Astrophys. Fluid Dyn. 1973, 5(1):173-189.