Eddy cancellation of the ekman cell in subtropical gyres

Journal of Physical Oceanography

Volumn 46, Issue 10, 2016, Pages 2995-3010

  Doddridge, Edward W ^a   Marshall, David P ^a   McC Hogg, Andrew ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

OCEANOGRAPHY;

CLIMATOLOGICAL WINDS; EDDY-DRIVEN CIRCULATION; EKMAN PUMPING; LAGRANGIAN PARTICLE TRACKING; NOCV1; POTENTIAL VORTICITY; SOUTHERN OCEAN; STREAMFUNCTIONS; SUBTROPICAL GYRE;

BIOACTIVITY;

DOWNWELLING; EDDY; EKMAN PUMPING; GYRE; NUMERICAL MODEL; POTENTIAL VORTICITY;

SOUTHERN OCEAN;

EID: 84994104313     PISSN: 00223670     EISSN: 15200485     Source Type: Journal    
DOI: 10.1175/JPO-D-16-0097.1     Document Type: Article

References (60)

1. Abernathey, R., J. C. Marshall, and D. Ferreira, 2011: The dependence of Southern Ocean meridional overturning on wind stress. J. Phys. Oceanogr., 41, 2261-2278, doi:10.1175/JPO-D-11-023.1.
2. Andrews, D. G., and M. E. McIntyre, 1978a: An exact theory of nonlinear waves on a Lagrangian-mean flow. J. Fluid Mech., 89, 609-646, doi:10.1017/S0022112078002773.
3. Andrews, D. G., and M. E. McIntyre, 1978b: On wave-action and its relatives. J. Fluid Mech., 89, 647-664, doi:10.1017/S0022112078002785.
4. Chassignet, E. P., and D. P. Marshall, 2008: Gulf Stream separation in numerical ocean models. Ocean Modeling in an Eddying Regime, Geophys. Monogr., Vol. 177, Amer. Geophys. Union, 39-61, doi:10.1029/GM177.
5. Danabasoglu, G., J. C. McWilliams, and P. R. Gent, 1994: The role of mesoscale tracer transports in the global ocean circulation. Science, 264, 1123-1126, doi:10.1126/science.264.5162.1123.
6. Döös, K., and D. Webb, 1994: The Deacon cell and the other meridional cells of the Southern Ocean. J. Phys. Oceanogr., 24, 429-442, doi:10.1175/1520-0485(1994)024≤0429:TDCATO >2.0.CO;2.
7. Dufour, C. O., J. Le Sommer, J. D. Zika, M. Gehlen, J. C. Orr, P. Mathiot, and B. Barnier, 2012: Standing and transient eddies in the response of the Southern Ocean meridional overturning to the southern annular mode. J. Climate, 25, 6958-6974, doi:10.1175/JCLI-D-11-00309.1.
8. Dunkerton, T., 1978: On the mean meridional mass motions of the stratosphere and mesosphere. J. Atmos. Sci., 35, 2325-2333, doi:10.1175/1520-0469(1978)035≤2325:OTMMMM >2.0.CO;2.
9. Dunkerton, T., 1980: A Lagrangian mean theory of wave, mean-flow interaction with applications to nonacceleration and its breakdown. Rev.| Geophys., 18, 387-400, doi:10.1029/RG018i002p00387.
10. Ertel, H., 1942: Ein neuer hydrodynamischer Erhaltungssatz. Naturwissenschaften, 30, 543-544, doi:10.1007/BF01475602.
11. 14Cin the North Atlantic. J. Geophys. Res., 101, 22577-22582, doi:10.1029/96JC01698.
12. Gent, P. R., J. Willebrand, T. J. McDougall, and J. C. McWilliams, 1995: Parameterizing eddy-induced tracer transports in ocean circulation models. J. Phys. Oceanogr., 25, 463-474, doi:10.1175/1520-0485(1995)025≤0463:PEITTI >2.0.CO;2.
13. Griffies, S. M., and R. W. Hallberg, 2000: Biharmonic friction with a Smagorinsky-like viscosity for use in large-scale eddy-permitting ocean models. Mon. Wea. Rev., 128, 2935-2946, doi:10.1175/1520-0493(2000)128 ≤2935:BFWASL >2.0.CO;2.
14. Griffies, S. M., and Coauthors, 2015: Impacts on ocean heat from transient mesoscale eddies in a hierarchy of climate models. J. Climate, 28, 952-977, doi:10.1175/JCLI-D-14-00353.1.
15. Hallberg, R., and A. Gnanadesikan, 2006: 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., 36, 2232-2252, doi:10.1175/JPO2980.1.
16. Haynes, P. H., and M. E. McIntyre, 1987: On the evolution of vorticity and potential vorticity in the presence of diabatic heating and frictional or other forces. J. Atmos. Sci., 44, 828-841, doi:10.1175/1520-0469(1987)044≤0828:OTEOVA >2.0.CO;2.
17. Haynes, P. H., and M. E. McIntyre, 1990: On the conservation and impermeability theorems for potential vorticity. J. Atmos. Sci., 47, 2021-2031, doi:10.1175/1520-0469(1990)047≤2021:OTCAIT >2.0.CO;2.
18. Henning, C. C., and G. K. Vallis, 2004: The effects of mesoscale eddies on the main subtropical thermocline. J. Phys. Oceanogr., 34, 2428-2443, doi:10.1175/JPO2639.1.
19. Henning, C. C., and G. K. Vallis, 2005: The effects of mesoscale eddies on the stratification and transport of an ocean with a circumpolar channel. J. Phys. Oceanogr., 35, 880-896, doi:10.1175/JPO2727.1.
20. Hill, C., D. Ferreira, J. M. Campin, J. Marshall, R. Abernathey, and N. Barrier, 2012: Controlling spurious diapycnal mixing in eddy-resolving height-coordinate ocean models-Insights from virtual deliberate tracer release experiments. Ocean Modell., 45-46, 14-26, doi:10.1016/j.ocemod.2011.12.001.
21. Hirst, A. C., D. R. Jackett, and T. J. McDougall, 1996: The meridional overturning cells of a World Ocean model in neutral density coordinates. J. Phys. Oceanogr., 26, 775-791, doi:10.1175/1520-0485(1996)026≤0775:TMOCOA >2.0.CO;2.
22. Jenkins, W. J., and S. C. Doney, 2003: The subtropical nutrient spiral. Global Biogeochem. Cycles, 17, 1110, doi:10.1029/2003GB002085.
23. Kähler, P., A. Oschlies, H. Dietze, and W. Koeve, 2009: Oxygen, carbon, and nutrients in the oligotrophic eastern subtropical North Atlantic. Biogeosci. Discuss., 6, 8923-8960, doi:10.5194/bgd-6-8923-2009.
24. Karoly, D., P. McIntosh, P. Berrisford, T. McDougall, and A. Hirst, 1997: Similarities of the Deacon cell in the Southern Ocean and Ferrel cells in the atmosphere. Quart. J. Roy. Meteor. Soc., 123, 519-526, doi:10.1002/qj.49712353813.
25. Large, W. G., J. C. McWilliams, and S. C. Doney, 1994: Oceanic vertical mixing: A review and a model with a nonlocal boundary-layer parameterization. Rev. Geophys., 32, 363-403, doi:10.1029/94RG01872.
26. Lee, M.-M., and R. G. Williams, 2000: The role of eddies in the isopycnic transfer of nutrients and their impact on biological production. J. Mar. Res., 58, 895-917, doi:10.1357/002224000763485746.
27. Lee, M.-M., D. P. Marshall, and R. G. Williams, 1997: On the eddy transfer of tracers: Advective or diffusive? J. Mar. Res., 55, 483-505, doi:10.1357/0022240973224346.
28. Maddison, J. R., and D. P. Marshall, 2013: The Eliassen-Palm flux tensor. J. Fluid Mech., 729, 69-102, doi:10.1017/jfm.2013.259.
29. Marshall, D. P., 1997: Subduction of water masses in an eddying ocean. J. Mar. Res., 55, 201-222, doi:10.1357/0022240973224373.
30. Marshall, D. P., 2000: Vertical fluxes of potential vorticity and the structure of the thermocline. J. Phys. Oceanogr., 30, 3102-3112, doi:10.1175/1520-0485(2000)030≤3102:VFOPVA >2.0.CO;2.
31. Marshall, J. C., and T. Radko, 2003: Residual-mean solutions for the Antarctic Circumpolar Current and its associated overturning circulation. J. Phys. Oceanogr., 33, 2341-2354, doi:10.1175/1520-0485(2003)033≤2341:RSFTAC >2.0.C0;2.
32. Marshall, J. C., A. Adcroft, C. Hill, L. Perelman, and C. Heisey, 1997: A finite-volume, incompressible Navier Stokes model for studies of the ocean on parallel computers. J. Geophys. Res. Ocean., 102, 5753-5766, doi:10.1029/96JC02775.
33. Marshall, J. C., H. Jones, R. Karsten, and R. Wardle, 2002: Can eddies set ocean stratification? J. Phys. Oceanogr., 32, 26-38, doi:10.1175/1520-0485(2002)032≤0026:CESOS >2.0.CO;2.
34. McDougall, T. J., 1987: Neutral surfaces. J. Phys. Oceanogr., 17, 1950-1964, doi:10.1175/1520-0485(1987)017≤1950:NS >2.0.CO;2.
35. McGillicuddy, D. J., Jr., 2016: Mechanisms of physical-biological-biogeochemical interaction at the oceanic me-soscale. Annu. Rev. Mar. Sci., 8, 125-159, doi:10.1146/annurev-marine-010814-015606.
36. McGillicuddy, D. J., and Coauthors, 1998: Influence of mesoscale eddies on new production in the Sargasso Sea. Nature, 394, 263-266, doi:10.1038/28367.
37. McGillicuddy, D. J., L. A. Anderson, S. C. Doney, and M. E. Maltrud, 2003: Eddy-driven sources and sinks of nutrients in the upper ocean: Results from a 0.1° resolution model of the North Atlantic. Global Biogeochem. Cycles, 17, 1035, doi:10.1029/2002GB001987.
38. Morrison, A. K., and A. M. Hogg, 2013: On the relationship between Southern Ocean overturning and ACC transport. J. Phys. Oceanogr., 43, 140-148, doi:10.1175/JPO-D-12-057.1.
39. Munday, D. R., H. L. Johnson, and D. P. Marshall, 2013: Eddy saturation of equilibrated circumpolar currents. J. Phys. Oceanogr., 43, 507-532, doi:10.1175/JPO-D-12-095.1.
40. Najjar, R. G., and R. F. Keeling, 2000: Mean annual cycle of the air-sea oxygen flux: A global view. Global Biogeochem. Cycles, 14, 573-584, doi:10.1029/1999GB900086.
41. Nurser, A. J. G., and M.-M. Lee, 2004: Isopycnal averaging at constant height. Part II: Relating to the residual stream-function in Eulerian space. J. Phys. Oceanogr., 34, 2740-2755, doi:10.1175/JPO2650.1.
42. Oschlies, A., 2002: Nutrient supply to the surface waters of the North Atlantic: A model study. J. Geophys. Res., 107, 30-46, doi:10.1029/2000JC000275.
43. Palter, J. B., M. S. Lozier, and R. T. Barber, 2005: The effect of advection on the nutrient reservoir in the North Atlantic Subtropical Gyre. Nature, 437, 687-692, doi:10.1038/nature03969.
44. Pennel, R., and I. Kamenkovich, 2014: On the factors controlling the eddy-induced transport in the Antarctic Circumpolar Current. J. Phys. Oceanogr., 44, 2127-2138, doi:10.1175/JPO-D-13-0256.1.
45. Plumb, R. A., 1979: Eddy fluxes of conserved quantities by small-amplitude waves. J. Atmos. Sci., 36, 1699-1704, doi:10.1175/1520-0469(1979)036≤1699:EFOCQB >2.0.CO;2.
46. Plumb, R. A., and J. D. Mahlman, 1987: The zonally averaged transport characteristics of the GFDL general circulation/transport model. J. Atmos. Sci., 44, 298-327, doi:10.1175/1520-0469(1987)044≤0298:TZATCO >2.0.CO;2.
47. Polton, J. A., and D. P. Marshall, 2003: Understanding the structure of the subtropical thermocline. J. Phys. Oceanogr., 33, 1240-1249, doi:10.1175/1520-0485(2003)033≤1240:UTSOTS >2.0.CO;2.
48. Polton, J. A., and D. P. Marshall, 2007: Overturning cells in the Southern Ocean and subtropical gyres. Ocean Sci., 3, 17-30, doi:10.5194/os-3-17-2007.
49. Prather, M. J., 1986: Numerical advection by conservation of second-order moments. J. Geophys. Res., 91, 6671-6681, doi:10.1029/JD091iD06p06671.
50. Radko, T., and J. C. Marshall, 2004a: Eddy-induced diapycnal fluxes and their role in the maintenance of the thermocline. J. Phys. Oceanogr., 34, 372-383, doi:10.1175/1520-0485(2004)034≤0372:EDFATR >2.0.CO;2.
51. Radko, T., and J. C. Marshall, 2004b: The leaky thermocline. J. Phys. Oceanogr., 34, 1648-1662, doi:10.1175/1520-0485(2004)034≤1648:TLT >2.0.CO;2.
52. Schär, C., 1993: A generalization of Bernoulli's theorem. J. Atmos. Sci., 50, 1437-1443, doi:10.1175/1520-0469(1993)050≤1437:AGOBT >2.0.CO;2.
53. Smagorinsky, J., 1963: General circulation experiments with the primitive equations. I. The basic experiment. Mon. Wea. Rev., 91, 99-164, doi:10.1175/1520-0493(1963)091≤0099:GCEWTP >2.3.CO;2.
54. Speer, K., S.R. Rintoul, and B. Sloyan, 2000: Thediabatic Deacon cell. J. Phys. Oceanogr., 30, 3212-3222, doi:10.1175/1520-0485(2000)030≤3212:TDDC >2.0.C0;2.
55. Vallis, G. K., 2006: Atmospheric and Oceanic Fluid Dynamics. Cambridge University Press, 745 pp.
56. Viebahn, J., and C. Eden, 2010: Towards the impact of eddies on the response of the Southern Ocean to climate change. Ocean Modell., 34, 150-165, doi:10.1016/j.ocemod.2010.05.005.
57. Williams, R. G., and M. J. Follows, 1998: The Ekman transfer of nutrients and maintenance of new production over the North Atlantic. Deep-Sea Res. I, 45, 461-489, doi:10.1016/S0967-0637(97)00094-0.
58. Williams, R. G., and M. J. Follows, 2011: Ocean Dynamics and the Carbon Cycle: Principles and Mechanisms. Cambridge University Press, 416 pp.
59. Xu, L., P. Li, Q. Liu, C. Liu, W. Gao, and S.-P. Xie, 2016: Observing mesoscale eddy effects on mode-water subduction and transport in the North Pacific. Nat. Commun., 7, 10505, doi:10.1038/ncomms10505.
60. Young, W. R., 2012: An exact thickness-weighted average formulation of the Boussinesq equations. J. Phys. Oceanogr., 42, 692-707, doi:10.1175/JPO-D-11-0102.1.