Parameterization of eddy fluxes based on a mesoscale energy budget

Ocean Modelling

Volumn 92, Issue , 2015, Pages 28-41

  Jansen, Malte F ^a,b,c   Adcroft, Alistair J ^b,c   Hallberg, Robert ^b,c   Held, Isaac M ^b,c  

^a UNIVERSITY OF CHICAGO   (United States)

^b NOAA EARTH SYSTEM RESEARCH LABORATORY   (United States)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Bottom flow; Eddy diffusivity; Eddy kinetic energy; Eddy parameterization; Mesoscale; Rhines scale

Indexed keywords

BOUNDARY LAYERS; DIFFUSION; DRAG; FRICTION; KINETIC ENERGY; KINETICS; MIXING; PARAMETERIZATION; TRIBOLOGY; TURBULENCE; VORTICITY;

BOTTOM FLOW; EDDY DIFFUSIVITIES; EDDY KINETIC ENERGY; MESOSCALE; RHINES SCALE;

BUDGET CONTROL;

BAROCLINIC MOTION; BAROTROPIC MOTION; ENERGY BUDGET; KINETIC ENERGY; MESOSCALE EDDY; NUMERICAL MODEL; PARAMETERIZATION; VORTICITY;

EID: 84934926704     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2015.05.007     Document Type: Article

References (68)

1. Abernathey R., Ferreira D., Klocker A. Diagnostics of isopycnal mixing in a circumpolar channel. Ocean Modell. 2013, 72:1-16.
2. Abernathey R.P., Marshall J. Global surface eddy diffusivities derived from satellite altimetry. J. Geophys. Res.: Oceans 2013, 118.2:901-916.
3. Arbic B.K., Flierl G.R. Baroclinically unstable geostrophic turbulence in the limits of strong and weak bottom ekman friction: application to midocean eddies. J. Phys. Oceanogr. 2004, 34:2257-2273.
4. Arbic B.K., Polzin K.L., Scott R.B., Richman J.G., Shriver J.F. On eddy viscosity, energy cascades, and the horizontal resolution of gridded satellite altimeter products. J. Phys. Oceanogr. 2013, 43:283-300.
5. Arbic B.K., Scott R.B. On quadratic bottom drag, geostrophic turbulence, and oceanic mesoscale eddies. J. Phys. Oceanogr. 2008, 38:84-103.
6. Barnier B., Le Provost C. Influence of bottom topography roughness on the jet and inertial recirculation of a mid-latitude gyre. Dyn. Atm. Oceans 1993, 18:29-65.
7. Cessi P. An energy-constrained parameterization of eddy buoyancy flux. J. Phys. Oceanogr. 2008, 38:1807-1819.
8. Chelton D.B., Schlax M.G., Samelson R.M., de Szoeke R.A. Global observations of large oceanic eddies. Geophys. Res. Lett. 2007, 34:L15606.
9. Early J.J., Samelson R.M., Chelton D.B. The evolution and propagation of quasigeostrophic ocean eddies. J. Phys. Oceanogr. 2011, 41(8):1535-1555.
10. Eden C., Greatbatch R.J. Towards a mesoscale eddy closure. Ocean Modell. 2008, 20(3):223-239.
11. Egbert G.D., Ray R.D., Bills B.G. Numerical modeling of the global semidiurnal tide in the present day and in the last glacial maximum. J. Geophys. Res.: Oceans 2004, 109(C3).
12. Farneti R., Gent P.R. The effects of the eddy-induced advection coefficient in a coarse-resolution coupled climate model. Ocean Modell. 2011, 39(1-2):135-145. Modelling and Understanding the Ocean Mesoscale and Submesoscale.
13. Ferrari R., Nikurashin M. Suppression of eddy mixing across jets in the southern ocean. J. Phys. Oceanogr. 2010, 40:1501-1519.
14. Ferrari R., Wunsch C. Ocean circulation kinetic energy-reservoirs, sources and sinks. Ann. Rev. Fluid Mech. 2009, 41:253-282.
15. Flato G., Marotzke J., Abiodun B., Braconnot P., Chou S., Collins W., Cox P., Driouech F., Emori S., Eyring V., Forest C., Gleckler P., Guilyardi E., Jakob C., Kattsov V., Reason C., Rummukainen M. Evaluation of climate models. Climate Change 2013: The Physical Science Basis. Contribution of Working Group I to the Fifth Assessment Report of the Intergovernmental Panel on Climate Change 2013, Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA. T. Stocker, D. Qin, G.-K. Plattner, M. Tignor, S. Allen, J. Boschung, A. Nauels, Y. Xia, V. Bex, P. Midgley (Eds.).
16. Flierl G.R. Models of vertical structure and the calibration of two-layer models. Dyn. Atm. Oceans 1978, 2:341-381.
17. Galperin B., Sukoriansky S., Dikovskaya N. Geophysical flows with anisotropic turbulence and dispersive waves: flows with a β -effect. Ocean Dyn. 2010, 60(2):427-441.
18. Gent P.R., McWilliams J.C. Isopycnal mixing in ocean circulation models. J. Phys. Oceanogr. 1990, 20:150-155.
19. Gent P.R., Willebrand J., McDougall T.J., McWilliams J.C. Parameterizing eddy-induced tracer transports in ocean circulation models. J. Phys. Oceanogr. 1995, 25:463-474.
20. Gill A.E. Atmosphere-Ocean Dynamics 1982, vol. 30. Academic Press.
21. Gill A.E., Green J.S.A., Simmons A.J. Energy partition in the large-scale ocean circulation and the production of mid-ocean eddies. Deep Sea Res. 1974, 21(7):499-528.
22. Green J.S.A. Transfer properties of the large-scale eddies and the general circulation of the atmosphere. Quart. J. Roy. Meteor. Soc. 1970, 96:157-185.
23. Grianik N., Held I.M., Smith K.S., Vallis G.K. The effects of quadratic drag on the inverse cascade of two-dimensional turbulence. Phys. Fluids 2004, 16(1):73-78.
24. Griffies S.M., Halberg R. Biharmonic friction with a Smagorinsky-like viscosity for use in large-scale eddy-permitting ocean models. Mon. Wea. Rev. 2000, 128:2935-2946.
25. Grooms I., Majda A.J., Smith K.S. Stochastic superparameterization in a quasigeostrophic model of the antarctic circumpolar current. Ocean Model. 2014, Accepted.
26. Hallberg R. Localized coupling between surface and bottom-intensified flow over topography. J. Phys. Oceanogr. 1997, 27:977-998.
27. Hallberg R. Using a resolution function to regulate parameterizations of oceanic mesoscale eddy effects. Ocean Modell. 2013, 72:92-103.
28. Hallberg R., Gnanadesikan A. 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. J. Phys. Oceanogr. 2006, 36(12):2232-2252.
29. Held I.M. The macroturbulence of the troposphere. Tellus 1999, 51:59-70.
30. Held I.M., Larichev V.D. A scaling theory for horizontally homogeneous baroclinically unstable flow on a beta plane. J. Atmos. Sci. 1996, 53(7):946-952.
31. James I.N., Gray L.J. Concerning the effect of surface drag on the circulation of a baroclinic planetary atmosphere. Quart. J. Roy. Meteor. Soc. 1986, 1112:1231-1250.
32. Jansen M., Ferrari R. Equilibration of an atmosphere by adiabatic eddy fluxes. J. Atmos. Sci. 2013, 70:2948-2962.
33. Jansen M.F., Held I.M. Parameterizing subgrid-scale eddy effects using energetically consistent backscatter. Ocean Modell. 2014, 80:36-48.
34. Johnson G.C., Bryden H.L. On the size of the antarctic circumpolar current. Deep Sea Res. Part A. Oceanogr. Res. Pap. 1989, 36(1):39-53.
35. Klocker A., Abernathey R. Global patterns of mesoscale eddy properties and diffusivities. J. Phys. Oceanogr. 2014, 44:1030-1046.
36. Klocker A., Marshall D.P. Advection of baroclinic eddies by depth mean flow. Geophys. Res. Lett. 2014, 41(10):3517-3521.
37. Lapeyre G., Held I.M. Diffusivity, kinetic energy dissipation, and closure theories for the poleward eddy heat flux. J. Atmos. Sci. 2003, 60(23):2907-2916.
38. Larichev V.D., Held I.M. Eddy amplitudes and fluxes in a homogeneous model of fully developed baroclinic instability. J. Phys. Oceanogr. 1995, 25:2285-2297.
39. Ledwell J.R., Montgomery E.T., Polzin K.L., St.Laurent L.C., Schmitt R.W., Toole J.M. Evidence for enhanced mixing over rough topography in the abyssal ocean. Nature 2000, 403(6766):179-182.
40. Marshall D.P., Adcroft A.J. Parameterization of ocean eddies: potential vorticity mixing, energetics and Arnold's first stability theorem. Ocean Modell. 2010, 32(3-4):188-204. The magic of modelling: a special volume commemorating the contributions of Peter D. Killworth-Part 2.
41. Mazloff M., Ferrari R., Schneider T. The force balance of the southern ocean meridional overturning circulation. J. Phys. Oceanogr. 2013, 43(6):1193-1208.
42. McWilliams J.C. The nature and consequences of oceanic eddies. Geophysi-cal Monograph Series 2008, vol. 177:5-15. American Geophysical Union, Washington, D.C.
43. Molemaker M.J., MCWilliams J.C., Capet X. Balanced and unbalanced routes to dissipation in an equilibrated eady flow. J. Fluid Mech. 2010, 654:35-63.
44. Müller T.J., Siedler G. Multi-year current time series in the eastern north atlantic ocean. J. Mar. Res. 1992, 50:63-98.
45. Nakamura N., Wang L. On the thickness ratio in the quasigeostrophic two-layer model of baroclinic instability. J. Atmos. Sci. 2013, 70(5):1505-1511.
46. Nikurashin M., Ferrari R. Global conversion rate from geostrophic flows into internal lee waves in the deep ocean. Geophys. Res. Lett. 2011, 38:L08610.
47. Nikurashin M., Vallis G., Adcroft A. Routes to energy dissipation for geostrophic flows in the southern ocean. Nat. Geosci. 2013, 6:48-51.
48. Özgökmen T.M., Fischer P.F. On the role of bottom roughness in overflows. Ocean Modell. 2008, 20(4):336-361.
49. Pavan V., Held I. The diffusive approximation for eddy fluxes in baroclinically unstable jets. J. Atmos. Sci. 1996, 53(9):1262-1272.
50. Plumb R. Eddy fluxes of conserved quantities by small-amplitude waves. J. Atmos. Sci. 1979, 36(9):1699-1704.
51. Polzin K.L. Mesoscale eddyinternal wave coupling. Part I: symmetry, wave capture, and results from the mid-ocean dynamics experiment. J. Phys. Oceanogr. 2008, 38:2556-2574.
52. Prandtl L. Bericht über untersuchungen zur ausgebildeten turbulenz. Zeitschr. angew. Math. Mech. 1925, 5:136-139.
53. Redi M. Oceanic isopycnal mixing by coordinate rotation. J. Phys. Oceanogr. 1982, 12:1154-1158.
54. Rhines P.B. Geostrophic turbulence. Annu. Rev. Fluid Mech. 1979, 11:401-441.
55. Smagorinsky J. General circulation experiments with the primitive equations. Mon. Wea. Rev. 1963, 91:99-164.
56. Smith K.S., Boccaletti G., Henning C.C., Marinov I.N., Tam C.Y., Held I.M., Vallis G.K. Turbulent diffusion in the geostrophic inverse cascade. J. Fluid Mech. 2002, 469:13-48.
57. Stone P.H. A simplified radiative-dynamical model for the static stability of rotating atmospheres. J. Atmos. Sci. 1972, 29(3):405-418.
58. Thompson A., Young W. Two-layer baroclinic eddy heat fluxes: zonal flows and energy balance. J. Atmos. Sci. 2007, 64:3214-3231.
59. Vallis G. A numerical study of transport properties in eddy resolving and parameterized models. Quart. J. Roy. Meteor. Soc. 1988, 114:183-204.
60. Vallis G.K. Atmospheric and Oceanic Fluid Dynamics 2006, Cambridge University Press, Cambridge, U.K.
61. 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.
62. Waterman S., Hogg N.G., Jayne S.R. Eddy-mean flow interaction in the Kuroshio extension region. J. Phys. Oceanogr. 2011, 41:1182-1208.
63. Willebrand J., Barnier B., Böning C., Dieterich C., Killworth P.D., Provost C.L., Jia Y., Molines J.-M., New A.L. Circulation characteristics in three eddy-permitting models of the north atlantic. Prog. Oceanogr. 2001, 48(23):123-161. Dynamics of the North Atlantic Circulation: Simulation and Assimilation with High-Resolution Models (DYNAMO).
64. Wortham C. A multi-dimensional spectral description of ocean variability with applications 2013, MIT/WHOI Joint Program, Ph.D. thesis.
65. Wunsch C. The vertical partition of oceanic horizontal kinetic energy. J. Phys. Oceanogr. 1997, 27:1770-1794.
66. Wunsch C., Ferrari R. Vertical mixing, energy, and the general circulation of the oceans. Annu. Rev. Fluid Mech. 2004, 36:281-314.
67. Zhai X., Johnson H.L., Marshall D.P. Significant sink of ocean-eddy energy near western boundaries. Nat. Geosci. 2010, 3(9):608-612.
68. Zurita-Gotor P. The relation between baroclinic adjustment and turbulent diffusion in the two-layer model. J. Atmos. Sci. 2007, 64:1284-1300.