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On latency of multiple zonal jets in the oceans

  • P. Berloff (a1), S. Karabasov (a2), J. T. Farrar (a3) and I. Kamenkovich (a4)

Most of the nearly zonal, multiple, alternating jets observed in the oceans are latent, that is, their amplitudes are weak relative to the ambient mesoscale eddies. Yet, relatively strong jets are often observed in dynamical simulations. To explore mechanisms controlling the degree of latency, we analyse solutions of an idealized, eddy-resolving and flat-bottom quasigeostrophic model, in which dynamically generated mesoscale eddies maintain and interact with a set of multiple zonal jets. We find that the degree of the latency is controlled primarily by the bottom friction: the larger the friction parameter, the more latent are the jets; and the degree of the latency is substantial for a realistic range of the oceanic bottom friction coefficient. This result not only provides a plausible explanation for the latency of the oceanic jets, but it may also be relevant to the prominent atmospheric multiple jets observed on giant gas planets, such as Jupiter. We hypothesize that these jets can be so strong because of the relative absence of the bottom friction. The mechanism controlling the latency in our solutions is understood in terms of the changes induced in the linear eigenmodes of the time–mean flow by varying the bottom friction coefficient; these changes, in turn, affect and modify the jets. Effects of large Reynolds numbers on the eddies, jets, and the latency are also discussed.

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1. B. Arbic & G. Flierl 2004 Baroclinically unstable geostrophic turbulence in the limits of strong and weak bottom Ekman friction: application to midocean eddies. J. Phys. Oceanogr. 34, 22572273.

2. B. Arbic & R. Scott 2008 On quadratic bottom drag, geostrophic turbulence, and oceanic mesoscale eddies. J. Phys. Oceanogr. 38, 84103.

3. M. Baldwin , P. Rhines , H.-P. Huang & M. McIntyre 2007 The jet-stream conundrum. Science 315, 467468.

4. A. Balk , S. Nazarenko & V. Zakharov 1990 On the nonlocal turbulence of drift type waves. Phys. Rev. Lett. A 146, 217221.

5. B. Barnier , B. L. Hua & C. Le Provost 1991 On the catalytic role of high baroclinic modes in eddy-driven large-scale circulations. J. Phys. Oceanogr. 21, 976997.

6. P. Berloff , I. Kamenkovich & J. Pedlosky 2009a A model of multiple zonal jets in the oceans: dynamical and kinematical analysis. J. Phys. Oceanogr. 39, 27112734.

8. F. Beron-Vera , M. Olascoaga , M. Brown , H. Kocak & I. Rypina 2010 Invariant-tori-like coherent structures in geophysical flows. Chaos 20, 017514.

10. A. Chekhlov , S. Orszag , S. Sukoriansky , B. Galperin & I. Staroselsky 1996 The effect of small-scale forcing on large-scale structures in two-dimensional flows. Physica D 98, 321334.

11. D. Chelton , M. Schlax & R. Samelson 2011 Global observations of nonlinear mesoscale eddies. Prog. Oceanogr. 91, 167216.

13. S. Danilov & D. Gurarie 2004 Scaling, spectra and zonal jets in beta-plane turbulence. Phys. Fluids 16, 25922603.

14. S. Danilov & V. Gryanik 2004 Barotropic beta-plane turbulence in a regime with strong zonal jets revisited. J. Atmos. Sci. 61, 22832295.

15. W. Dewar 1998 Topography and barotropic transport control by bottom friction. J. Mar. Res. 56, 295328.

16. D. Dritschel & M. McIntyre 2008 Multiple jets as PV staircases: the Phillips effect and the resilience of eddy-transport barriers. J. Atmos. Sci. 65, 855874.

17. D. Dritschel & R. Scott 2011 Jet sharpening by turbulent mixing. Phil. Trans. R. Soc. A 369, 754770.

18. B. Farrell & P. Ioannou 2007 Structure and spacing of jets in barotropic turbulence. J. Atmos. Sci. 64, 36523665.

19. B. Farrell & P. Ioannou 2008 Formation of jets by baroclinic turbulence. J. Atmos. Sci. 65, 33533375.

20. B. Farrell & P. Ioannou 2009 Emergence of jets from turbulence in the shallow-water equations on an equatorial beta plane. J. Atmos. Sci. 66, 31973207.

21. C. Fureby & F. Grinstein 2002 Large eddy simulation of high-Reynolds-number free and wall-bounded flows. J. Comput. Phys. 181, 6897.

22. B. Galperin , H. Nakano , H. Huang & S. Sukoriansky 2004 The ubiquitous zonal jets in the atmospheres of giant planets and Earth’s oceans. Geophys. Res. Lett. 31, L13303.

23. B. Galperin , S. Sukoriansky & N. Dikovskaya 2010 Geophysical flows with anisotropic turbulence and dispersive waves: flows with a beta-effect. Ocean Dyn. 60, 427441.

25. D. Haidvogel & I. Held 1980 Homogeneous quasi-geostrophic turbulence driven by a uniform temperature gradient. J. Atmos. Sci. 37, 26442660.

26. R. Herbei , I. McKeague & K. Speer 2008 Gyres and jets: inversion of tracer data for ocean circulation structure. J. Phys. Oceanogr. 38, 11801202.

28. H. Hristova , J. Pedlosky & M. Spall 2008 Radiating instability of a meridional boundary current. J. Phys. Oceanogr. 38, 22942307.

29. H.-P. Huang , A. Kaplan , E. Curchitser & N. Maximenko 2007 The degree of anisotropy for mid-ocean currents from satellite observations and an eddy-permitting model simulation. J. Geophys. Res. 112, C09005.

30. H.-P. Huang & W. Robinson 1998 Two-dimensional turbulence and persistent zonal jets in a global barotropic model. J. Atmos. Sci. 55, 611632.

31. C. Hughes , A. Thompson & C. Wilson 2010 Identification of jets and mixing barriers from sea level and vorticity measurements using simple statistics. Ocean Model. 32, 4457.

33. I. Kamenkovich , P. Berloff & J. Pedlosky 2009a Role of eddy forcing in the dynamics of multiple zonal jets in the North Atlantic. J. Phys. Oceanogr. 39, 13611379.

34. I. Kamenkovich , P. Berloff & J. Pedlosky 2009b Anisotropic material transport by eddies and eddy-driven currents in the North Atlantic. J. Phys. Oceanogr. 39, 31623175.

35. S. Karabasov , P. Berloff & V. Goloviznin 2009 CABARET in the ocean gyres. Ocean Model. 30, 155168.

36. S. Karabasov & V. Goloviznin 2009 Compact accurately boundary adjusting high-resolution technique for fluid dynamics. J. Comput. Phys. 228, 74267451.

37. I. Kaspi & G. Flierl 2007 Formation of jets by baroclinic instability on gas planet atmospheres. J. Atmos. Sci. 64, 31773194.

38. K. Kondratyev & G. Hunt 1982 Weather and Climate on Planets. Pergamon.

39. S. Lee 1997 Maintenance of multiple jets in a baroclinic flow. J. Atmos. Sci. 54, 17261738.

40. M. Levy , P. Klein , A.-M. Treguier , D. Iovino , G. Madec , S. Masson & K. Takahashi 2010 Modifications of gyre circulation by sub-mesoscale physics. Ocean Model. 34, 115.

41. J. Liu & T. Schneider 2011 Mechanisms of jet formation on the giant planets. J. Atmos. Sci. 67, 36523672.

42. A. Manfroi & W. Young 2002 Stability of $\ensuremath{\beta} $-plane Kolmogorov flow. Physica D 162, 208232.

43. A. Manfroi & W. Young 1999 Slow evolution of zonal jets on the beta plane. J. Atmos. Sci. 56, 784800.

44. L. Marie 2010 A study of the phase instability of quasi-geostrophic Rossby waves on the infinite beta-plane to zonal flow perturbations. Nonlinear Process. Geophys. 17, 4963.

45. J. Marshall , E. Shuckburgh , H. Jones & C. Hill 2006 Estimates and implications of surface eddy diffusivity in the Southern Ocean derived from tracer transport. J. Phys. Oceanogr. 36, 18061821.

46. N. Maximenko , B. Bang & H. Sasaki 2005 Observational evidence of alternating zonal jets in the world ocean. Geophys. Res. Lett. 32, L12607.

47. N. Maximenko , O. Melnichenko , P. Niiler & H. Sasaki 2008 Stationary mesoscale jet-like features in the ocean. Geophys. Res. Lett. 35, L08603.

49. J. McWilliams 1977 A note on a consistent quasigeostrophic model in a multiply connected domain. Dyn. Atmos. Oceans 1, 427441.

50. J. McWilliams & G. Flierl 1979 On the evolution of isolated, nonlinear vortices. J. Phys. Oceanogr. 9, 11551182.

51. O. Melnichenko , N. Maximenko , N. Schneider & H. Sasaki 2010 Quasi-stationary striations in basin-scale oceanic circulation: vorticity balance from observations and eddy-resolving model. Ocean Dyn. 60, 653666.

53. H. Nakano & H. Hasumi 2005 A series of zonal jets embedded in the broad zonal flows in the Pacific obtained in eddy-permitting ocean general circulation models. J. Phys. Oceanogr. 35, 474488.

54. M. Ollitrault , M. Lankhorst , D. Fratantoni & P. Richardson 2006 Zonal intermediate currents in the equatorial Atlantic Ocean. Geophys. Res. Lett. 33, L05605.

55. L. Panetta 1993 Zonal jets in wide baroclinically unstable regions: persistence and scale selection. J. Atmos. Sci. 50, 20732106.

57. B. Qiu , R. Scott & S. Chen 2008 Length scales of eddy generation and nonlinear evolution of the seasonally-modulated South Pacific subtropical countercurrent. J. Phys. Oceanogr. 38, 15151528.

59. P. Read , Y. Yamazaki , S. Lewis , P. Williams , R. Wordsworth , K. Miki-Yamazaki , J. Sommeria , H. Didelle & A. Fincham 2007 Dynamics of convectively driven banded jets in the laboratory. J. Atmos. Sci. 64, 40314052.

61. P. Rhines 1994 Jets. Chaos 4, 313339.

62. K. Richards , N. Maximenko , F. Bryan & H. Sasaki 2006 Zonal jets in the Pacific ocean. Geophys. Res. Lett. 33, L03605.

63. P. Riviere , A. Treguier & P. Klein 2004 Effects of bottom friction on nonlinear equilibration of an oceanic baroclinic jet. J. Phys. Oceanogr. 34, 416432.

64. M. Schlax & D. Chelton 2008 The influence of mesoscale eddies on the detection of quasi-zonal jets in the ocean. Geophys. Res. Lett. 35, L24602.

65. E. van Sebille , I. Kamenkovich & J. Willis 2011 Quasi-zonal jets in 3D Argo data of the northeast Atlantic. Geophys. Res. Lett. 38, L02606.

66. B. Sinha & K. Richards 1999 Jet structure and scaling in Southern Ocean models. J. Phys. Oceanogr. 29, 11431155.

67. K. Smith 2004 A local model for planetary atmospheres forced by small-scale convection. J. Atmos. Sci. 61, 14201433.

68. S. Sokolov & S. Rintoul 2007a Multiple jets of the Antarctic Circumpolar Current south of Australia. J. Phys. Oceanogr. 37, 13941412.

69. S. Sokolov & S. Rintoul 2007b On the relationship between fronts of the Antarctic Circumpolar Current and surface chlorophyll concentrations in the Southern Ocean. J. Geophys. Res. 112, C07030.

70. S. Sokolov & S. Rintoul 2009 Circumpolar structure and distribution of the Antarctic Circumpolar Current fronts. Part 1. Mean circumpolar paths. J. Geophys. Res. 114, C11018.

71. S. Sukoriansky , N. Dikovskaya & B. Galperin 2007 On the arrest of inverse energy cascade and the Rhines scale. J. Atmos. Sci. 64, 33123327.

72. P. Swarztrauber 1977 The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson’s equation on a rectangle. SIAM Rev. 19, 490501.

73. J. Theiss 2004 Equatorward energy cascade, critical latitude, and the predominance of cyclonic vortices in geostrophic turbulence. J. Phys. Oceanogr. 34, 16631678.

74. A. Thompson 2010 Jet formation and evolution in baroclinic turbulence with simple topography. J. Phys. Oceanogr. 40, 257278.

75. A. Thompson & W. Young 2007 Baroclinic eddy heat fluxes: zonal flows and energy balance. J. Atmos. Sci. 64, 32143231.

76. A. Treguier & L. Panetta 1994 Multiple zonal jets in a quasigeostrophic model of the Antarctic Circumpolar Current. J. Phys. Oceanogr. 24, 22632277.

77. G. Vallis & M. Maltrud 1993 Generation of mean flows and jets on a beta plane and over topography. J. Phys. Oceanogr. 23, 13461362.

78. A. Wallcraft , A. Birol Kara & H. Hurlburt 2005 Convergence of Laplacian diffusion versus resolution of an ocean model. Geophys. Res. Lett. 32, L07604.

79. G. Williams 1978 Planetary circulations. Part 1. Barotropic representation of Jovian and terrestrial turbulence. J. Atmos. Sci. 35, 13991426.

80. C. Yoo & S. Lee 2010 Persistent multiple jets and PV staircase. J. Atmos. Sci. 67, 22792295.

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