Oceanic General Circulation: Wave and Advection Dynamics

  • Peter B. Rhines
Conference paper
Part of the NATO ASI Series book series (volume 11)

Abstract

This is a discussion of the oceanic general circulation, both wind-driven and buoyancy driven. We start with basic ideas about fluids ‘stiffened’ by planetary rotation and Sverdrup-Rossby dynamics, describe the ‘non-Doppler’ effect that allows one to solve a large class of wind-driven circulations, and ‘arrested wave’ theory that leads to many linear models of water-mass development and circulation. This borders on Rossby hydraulics’ in which advection and wave propagation effects are fully competitive. Modern debate over potential vorticity dynamics and ‘warm’ and ‘cold’ subduction layers into the thermocline are discussed. The production of vertical stratification that is the essence of subduction can occur from warming-induced restratification in spring or from cooling and dynamical restratification (conversion of horizontal-density gradient into vertical-density gradient). Wind-driven circulation involves active potential vorticity advection and stirring, and the ratio of advection to mesoscale-eddy diffusion in the gyres (the Peclet number) is of order 3 to 5, which is not large. In addition to the global overturning modes seen in global circulation models, the deep circulation involves smaller, faster, and more quickly responding branches of circulation which occur with topographic basins and ridges, and with fast boundary-current physics. These may be eddy forced, and shaped by topography. The capacity of basin topography to reverse the Stommel-Arons circulation (by its ‘hypsometry’) is described. Some of the ‘missing physics’ that challenges numerical ocean models is discussed, and some promotion of the value of laboratory experiments given.

Keywords

Entropy Vortex Convection Torque Ozone 

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References

  1. Anderson, D.L.T. and A.E. Gill 1975, Spin-up of a stratified ocean, with applications to upwelling, Deep-Sea Res. 22, 583–596.Google Scholar
  2. Bauer E. and G. Siedler 1988, The relative contributions of advection and iopycnal and diapycnal mixing below the subtropical salinity maximum, Deep-Sea Res. 35, 811–837.CrossRefGoogle Scholar
  3. Barringer, M.O. and J.F. Price 1990, A simple model of the descent of the Mediterranean outflow plume in The Physical Oceaongraphy of Sea Straits, L.J.Pratt ed, Kluwer Acad. Pub., Neth.Google Scholar
  4. Behringer, D. 1972, Investigations of large-scale oceanic circulation using hydrographic data, Ph.D. dissertation, University of Calif. San Diego.Google Scholar
  5. Boning, C.W. and M.D. Cox 1988, Particle dispersion and mixing of conservative properties in an eddy-resolving circulation model, J.Phys.Oceanogr. 18, 320–338.CrossRefGoogle Scholar
  6. Bretherton F.P. and D.P. Haidvogel 1976, Two-dimensional turbulence above topography, J.Fluid Mech. 78, 129–154.CrossRefGoogle Scholar
  7. Brewer, P., W.S. Broecker, W.J. Jenkins, P.B. Rhines, C.G. Rooth, J.H. Swift, T. Takahashi and R.T. Williams, 1983, A climatic freshening of the deep North Atlantic over the past 20 years, Science 222, 1237–1239.CrossRefGoogle Scholar
  8. Bryan, F. 1986, High-latitude salinity effects and interhemispheric thermohaline circulations. Nature 323, 301–304.CrossRefGoogle Scholar
  9. Budyko, M.I. 1963, Atlas of the heat balance of the earth sphere, Joint Geophysical Committee, Academy of Sciences, USSR, 5pp.Google Scholar
  10. Bunker, A.F. 1976, Computations of surface energy flux and annual air-sea interaction cycles of the North Atlantic Ocean, Monthly Weather Rev. 104, 1122–1140.CrossRefGoogle Scholar
  11. Chang, P. and S.G.H. Philander 1989, Rossby wave-packets in baroclinic mean circulations, Deep-Sea Res., 36, 17–37.CrossRefGoogle Scholar
  12. Chereskin, T. and D. Roemmich 1991, A comparison of measured and wind-derived Ekman transport at 11°N in the Atlantic Ocean, J.Phys.Oceanogr. 21, 869–878.CrossRefGoogle Scholar
  13. Chereskin, T. and D. Roemmich 1991, A comparison of measured and wind-derived Ekman transport at 11°N in the Atlantic Ocean, J.Phys.Oceanogr. 21, 869–878.CrossRefGoogle Scholar
  14. Cox, M.D., 1985, An eddy-resolving numerical model of the ventilated thermhlcline. J.Phys.Oceanogr. 15, 1312–1324.CrossRefGoogle Scholar
  15. Cox, M.D., 1989, An idealized model of the world ocean. Part I: the global-scale water masses, J.Phys.Oceanogr. 19, 1730–1752.CrossRefGoogle Scholar
  16. Cummins, P.F., G. Holloway and A.E. Gargett 1990, Sensitivity of the GFDL ocean general circulation model to a parameterization of vertical diffusion, J.Phys.Oceanogr. 20, 817–830.CrossRefGoogle Scholar
  17. Danielsen, E.F. 1990, In defense of Ertel’s potential vorticity and its general applicability as a meteorological tracer, J.Atmos.Sci. 47, 2013–2020CrossRefGoogle Scholar
  18. Davey, M.K., W.W. Hsieh and R.C. Walsowlcz 1983, The free Kelvin wave with lateral and vertical viscosity, J.Phys.Oceanogr. 13, 2182–2191.CrossRefGoogle Scholar
  19. Dewar, W.K., P.B. Rhines and W.R. Young 1984, The nonlinear spin-up of a stratified ocean, Geophys. Astrophys. Fluid Dyn. 30, 169–197.CrossRefGoogle Scholar
  20. Dewar, W.K. 1991, Arrested fronts, J.Mar.Res. 49, 21–52.CrossRefGoogle Scholar
  21. Dickson, R.R., J. Meincke, S.A. Malmberg and A.J. Lee 1988, The great salinity anomaly in the northern North Atlantic, 1968–82, Frog. Oceaongr. 20, 103–151.CrossRefGoogle Scholar
  22. Fiadeiro, M.E. 1982, Three-dimensional modeling of tracers in the deep Pacific Ocean II. Radiocarbon and the circulation, J.Marine Res. 40, 537–550.Google Scholar
  23. Gerdes, R. 1991, A primitive equation ocean circulation model using a general vertical coordinate transformation. Parts I and II, preprint.Google Scholar
  24. Gill, A.E. 1968, A linear model of the Antarctic circumpolar current, J.Fluid Mech. 32, 465–488.CrossRefGoogle Scholar
  25. Gill, A.E. 1982, Atmosphere-ocean dynamics, Academic Press.Google Scholar
  26. Gill, A.E. and R.K. Smith 1970, On similarity solutions of the differential equation Ozzzz + ÿi x = 0, Proc.Camb.Phil.Soc. 67, 163–171.CrossRefGoogle Scholar
  27. Haidvogel, D. and P.B. Rhines, 1983, Waves and circulation driven by oscillatory winds in an idealized ocean basin, Geophys. Astrophys. Fluid Dyn. 25, 1–65.CrossRefGoogle Scholar
  28. Hautala, S. and S.C. Riser 1991, A simple model of abyssal circulation, including effects of wind, buoyancy and topography, J.Phys.Oceanogr. 19, 596–611.CrossRefGoogle Scholar
  29. Hautala, S. and S.C. Riser 1992, A nonconservative /3-spiral determination of the deep circulation in the eastern South Pacific, J.Phys.Oceanogr., submittedGoogle Scholar
  30. 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.CrossRefGoogle Scholar
  31. Haynes, P.H. and M.E. Mcintyre 1990, On the conservation and impermeability theorems for potential vorticity, J.Atmos.Sci. 47 2021–2031.CrossRefGoogle Scholar
  32. Held, I.M. 1983, Stationary and quasi-stationary eddies in the extratropical troposphere: theory. in Large-scale dynamical processes in the atmosphere, B.Hoskins and R.Pearce eds., Academic Press, London.Google Scholar
  33. Hermann, A.L., P.B. Rhines and E.R. Johnson, 1989, Nonlinear Rossby adjustment in a channel: beyond Kelvin waves, J.Fluid Mech. 205, 460–502.CrossRefGoogle Scholar
  34. Hogg N.G. 1983, A note on the deep circulation of the western North Atlantic: its nature and causes, Deep-Sea Res. 30, 945–961.CrossRefGoogle Scholar
  35. Holland, W.R. and P.B. Raines, 1980, An example of eddy-induced ocean circulation, J. Phys. Oceanogr. 10 (7), 1010–1031.CrossRefGoogle Scholar
  36. Holland, W.R., T. Keffer and P.B. Rhines 1984, The general circulation of the oceans: the potential vorticity field, Nature 308, 698–705.CrossRefGoogle Scholar
  37. Holloway, G. and P.B. Raines, 1990, Angular momenta of modeled ocean gyres, J. Geophys. Res, 96, 843–846.CrossRefGoogle Scholar
  38. Hoskins, B.J., M.E. Mcintyre, and A.W. Robertson 1985, On the use and significance of isentropic potential vorticity maps, Q.Jour.Royal Met.Soc. 111, 877–946.CrossRefGoogle Scholar
  39. Huang, R.X. 1986, Solutions of the ideal fluid thermocline with continuous stratification, J.Phys.Oceaongr. 16, 39–59.CrossRefGoogle Scholar
  40. Huang, R.X. 1990, On the three-dimensional structure of the wind-driven circulation in the North Atlantic, Dyn.Atmos.Oceans, 15, 117–159.CrossRefGoogle Scholar
  41. Imbrie, J., E.A. Boyle, S.C. Clemens, A. Duffy, W.R. Howard, G. Kukla, J. Kutzbach, D.G. Martinson, A. Mcintyre, A.C. Mix, B. Molfino, J.J. Morley, L.C. Peterson, N.G. Pisias, W.L. Prell, M.E. Raymo, N.J. Shackleton and J.R. Toggweiler 1992, On the structure and origin of major glaciation cycles. 1. Linear responses to Milankovitch forcing,Paleoceanography, submitted.Google Scholar
  42. Isayev, G. 1991, On the absolute velocity of the geostrophic circulation, J.Fluid Mech., submitted.Google Scholar
  43. Ishizaki, H. 1993, A simulation of the abyssal circulation in the North Pacific Ocean, J.Phys.Oceaongr. submittedGoogle Scholar
  44. Jamowitz, G.S. 1986, A surface density and wind-driven model of the thermocline, J.Geophys.Res. 91, 5111–5118.CrossRefGoogle Scholar
  45. Jamowitz, G.S. 1986, A surface density and wind-driven model of the thermocline, J.Geophys.Res. 91, 5111–5118.CrossRefGoogle Scholar
  46. Johnson, G.C. and D.R. Olsen 1992, Frictional rotating channel exchange and ocean outflows, J.Phys.Oceanogr. submittedGoogle Scholar
  47. Kawase, M. 1987, Establishment of deep ocean circulation driven by deep-water production, J.Phys.Oceaongr. 17, 2294–2317.CrossRefGoogle Scholar
  48. Kawase, M. and D. Straub 1991, Spinup of source-driven circulation in an abyssal basin in the presence of bottom topography, J.Phys.Oceanogr. 21, 1501–1514.CrossRefGoogle Scholar
  49. Keffer, T. 1985, The ventilation of the world’s oceans: maps of the potential vorticity field, J.Phys.Oceanogr 15, 509–523.CrossRefGoogle Scholar
  50. Kessler, W. 1990, Observations of long Rossby waves in the North Tropical Pacific, J.Geophys.Res 95, 5183–5217.CrossRefGoogle Scholar
  51. Killworth, P.D. 1983, Deep convection in the world ocean, Revs.Geophys. Sp.Phys. 21, 1–26.CrossRefGoogle Scholar
  52. Killworth, P.D. 1987, A continuously stratified nonlinear ventilated thermocline, J.Phys.Oceanogr. 17, 1925–1943.CrossRefGoogle Scholar
  53. Lazier, J. 1992, The salinity decrease in the Labrador Sea over the past 30 years, preprint Google Scholar
  54. Lehman, S.J. and L.D. Keigwin 1992, Sudden changes in North Atlantic circulation during the last deglaciation, Nature 356, 757–762CrossRefGoogle Scholar
  55. Levitus, S. 1989, Interpentadal variability of temperature and salinity in the deep North Atlantic, 1970–74 versus 1955–59, J.Geophys.Res. 94, 16125–16131.CrossRefGoogle Scholar
  56. Lighthill, M.J. 1978, Waves in fluids, Cambridge Univ. Press.Google Scholar
  57. Lighthill, M.J. 1986, An informal introduction to theoretical fluid mechanics, Oxford Univ. Press.Google Scholar
  58. Liu, Z, 1992, Interannual planetary wave breaking in the presence of Ekman pumping and mean flow, J.Fluid Mech., submitted Google Scholar
  59. Lozier, S. and S. Riser 1989, Potential vorticity dynamics of boundary currents in a quasigeostrophic ocean, J.Phys.Oceanogr. 19, 1373–1396.CrossRefGoogle Scholar
  60. Luyten, J.R., J. Pedlosky and H.M. Stommel 1983, The ventilated thermocline, J. Phys. Oceanogr. 13, 292–309.CrossRefGoogle Scholar
  61. Luyten, J. and H. Stommel 1986, Gyres driven by combined wind and buoyancy flux, J.Phys.Oceanogr. 16, 1551–1560.CrossRefGoogle Scholar
  62. Maccready, P. 1992, Frictional decay of the deep western boundary current in the northern North Atlantic, J.Mar.Res. submitted.Google Scholar
  63. Maccready, P. and P.B. Rhines 1991, Buoyant inhibition of Ekman transport on a slope and its effect on stratified spin-up, J.Fluid Mech. 223, 631–661.CrossRefGoogle Scholar
  64. Maccready, P. and P.B. Rhines 1991, Buoyant inhibition of Ekman transport on a slope and its effect on stratified spin-up, J.Fluid Mech. 223, 631–661.CrossRefGoogle Scholar
  65. Marshall, J.C. and A.J.G. Nurser 1992, Fluid dynamics of oceanic thermocline ventilation, J.Phys.Oceanogr. 22, 583–595.CrossRefGoogle Scholar
  66. Marotzke, J., P. Welander and J. Willebrand 1988, Instability and multiple equilibria in a meridional-plane model of the thermohaline circulation. Tellus 40a, 162–172.Google Scholar
  67. Mccartney, M.S. 1982, The subtropical recirculation of mode waters, J.Marine.Res. 40, supp. 427–464.Google Scholar
  68. Mccartney, M.S. and L.D. Talley 1982, The subpolar mode water of the North Atlantic Ocean, J.Phys.Oceanogr. 12, 1169–1205.CrossRefGoogle Scholar
  69. Mccreary, J.P. 1981, A linear stratified model of the Equatorial Undercurrent, Phil Trans.Roy.Soc.Lon. A, 298, 603–635.CrossRefGoogle Scholar
  70. Mcdougal, T.J. 1988, Neutral-surface potential vorticity, Prog.Oceanog. 20, 185–221CrossRefGoogle Scholar
  71. Mcdougal, T.J. 1992, Ocean mixing’s influence on the absolute velocity vector and on the level of no motion, J.Phys.Oceanogr. submitted.Google Scholar
  72. Mcdowell, S., P.B. Rhines and T. Keffer, 1982, North Atlantic potential vorticity and its relation to the general circulation, J.Phys.Oceanogr. 12, 1417–1436.CrossRefGoogle Scholar
  73. Mcintyre, M.E. and T.N. Palmer 1983, Breaking planetary waves in the stratosphere, Nature 305, 593–600.CrossRefGoogle Scholar
  74. Munk, W. 1966, Abyssal recipes, Deep-Sea Res. 13, 707–730.Google Scholar
  75. Nurser, A.J.G. and J.C. Marshall 1991, On the relationship between subduction rates and diabatic forcing of the mixed layer, J.Phys.Oceanogr. 21, 1793–1802.CrossRefGoogle Scholar
  76. Ohlsen, D.R. and J.E. Hart 1989, The transition to baroclinic chaos on the 0-plane, J.Fluid Mech. 203, 23–50.CrossRefGoogle Scholar
  77. Pedlosky, J. 1986, The buoyancy and wind-driven ventilated thermocline, J.Phys.Oceanogr., 16, 1077–1087.CrossRefGoogle Scholar
  78. Phillips, N.A. 1963, Geostrophic motion, Revs. Geophys. 1, 123–176.CrossRefGoogle Scholar
  79. Reid, J.L. and R.J. Lynn 1971, On the influence of the Norwegian-Greenland and Weddell seas upon the the bottom waters of the Indian and Pacific oceans. Deep-Sea Res. 18, 1063–1088.Google Scholar
  80. Reid, J.L. 1981, On the mid-depth circulation of the world ocean, in Evolution of physical oceanography, B.Warren and C. Wunsch eds., MIT Press, 70–111.Google Scholar
  81. Reid, J.L. 1988, On the total geostrophic circulation of the South Atlantic Ocean: flow patterns, tracers and transports, Prog. Oceanogr.Google Scholar
  82. Rhines, P.B., 1977. The dynamics of unsteady currents, In: The Sea, Vol. VI, E.D. Goldberg (ed.), John Wiley and Sons, Inc., NY, 189–318.Google Scholar
  83. Rhines, P.B., 1986, Vorticity dynamics of the ocean general circulation, Ann. Rev. Fluid Mech. 18, 433–497.Google Scholar
  84. Rnines, P.B., 1986, Lectures on ocean circulation dynamics, in Large-Scale Transport Processes in Oceans and Atmospheres, D. Anderson and J. Willebrand Eds. Reidel, Dortrecht. 105–161Google Scholar
  85. Rhines, P.B., 1989, Deep planetary circulation over topography: simple models of mid-ocean flows. J. Phys. Oceanogr 19, 1449–1470.CrossRefGoogle Scholar
  86. Rhines, P.B. and W.R. Holland, 1979, A theoretical discussion of eddy-driven mean flows, Dyn. Atmos. Ocean 3, 289–325.CrossRefGoogle Scholar
  87. Rhines, P.B. and W.R. Young, 1982A, A theory of the wind-driven circulation I. Mid-ocean gyres, J. Mar. Res. suppl. to 40(3), 559–596.Google Scholar
  88. Rhines, P.B. and W.R. Young, 1982B, Homogenization of potential vorticity in planetary gyres, J. Fluid Mech. 122, 347–367.CrossRefGoogle Scholar
  89. Rhines, P.B., W.R. Holland and J.C. Chow, 1985, Experiments with buoyancy-driven ocean circulation, NCAR Technical Note 260+STR.Google Scholar
  90. Rhines, P.B. and R. Schopp, 1991, Wind-driven circulation: theory and quasigeostrophic simulations for non-symmetric winds, J.Phys.Oceanogr. 21, 1438–1469. (Cox Memorial vol.)CrossRefGoogle Scholar
  91. Roemmich, D. and T. Mcallister 1989, Large-scale circulation of the North Pacific Ocean, Prog.Oceanog. 22, 171–204.CrossRefGoogle Scholar
  92. Robinson, A.R. and H.M. Stommel 1959, The oceanic thermocline and associate thermohaline circulation, Tell us 11, 295–308.Google Scholar
  93. Rooth, C. 1982, Hydrology and ocean circulation, Prog. Oceanogr. 11, 131–149.CrossRefGoogle Scholar
  94. Rossby, C.G. 1940, Planetary flows in the atmosphere, Quart.J.Roy.Met.Soc. 66 Suppl., 68–87.Google Scholar
  95. Salmon, R. 1986, A simplified linear ocean circulation theory, J.Marine.Res. 44, 695–711.CrossRefGoogle Scholar
  96. Schmitz, W.J., and M. Mccartney 1992, On the North Atlantic circulation, submitted to Revs. Geo phys. Sp. Phys.Google Scholar
  97. Schmitz, R.W., P.S. Bogden and C.E. Dorman 1989, Evaporation minus precipitation and density fluxes for the North Atlantic, J. Phys. Oceanogr. 19, 1208–1221CrossRefGoogle Scholar
  98. Spall, M.A. 1991A, A diagnostic study of the wind-and buoyancy-driven North Atlantic circulation, J.Geophys.Res. 96, 18509–18518.CrossRefGoogle Scholar
  99. Speer, K.G. and P. Rona 1989, A model of an Atlantic and Pacific hydrothermal plume, J.Geophys.Res 94, 6213–6220.CrossRefGoogle Scholar
  100. Speer, K.G. and E. Tziperman 1990, Convection from a source in an ocean basin, Deep-Sea Res. 37, 431–446.CrossRefGoogle Scholar
  101. Speer, K.G. and E. Tziperman 1992, Rates of water mass formation in the North Atlantic Ocean, J. Phys. Oceanogr. 22, 83–92CrossRefGoogle Scholar
  102. Stommel, H.M. 1961, Thermohaline convection with two stable regimes of flow, Tellus 13, 224–230.CrossRefGoogle Scholar
  103. Stommel, H.M. 1962, On the smallness of sinking regions in the ocean, Proc. Nat. Acad. Sci., U.S.A. 48, 766–772.CrossRefGoogle Scholar
  104. Stommel, H.M. 1979A, Oceanic warming of western Europe, Proc.Nat.Acad.Sci.U.S.A. 76, 2518–2521.CrossRefGoogle Scholar
  105. Stommel, H.M. 1979B, Determination of water mass properties of water pumped down from the Ekman layer to the geostrophic flow below, Proc.Nat.Acad.Sci.U.S.A. 76, 3051–3055.CrossRefGoogle Scholar
  106. Stommel, H.M. 1982, Is the South Pacific helium-3 plume dynamically active? Earth Planet.Sci.Lett. 61, 63–67.CrossRefGoogle Scholar
  107. Stommel, H.M. and A.B. Arons 1958, On the abyssal circulation of the world ocean, I. Stationary planetary flow patterns on a sphere, Deep-Sea Res. 6, 217–233.Google Scholar
  108. Stommel, H.M., A. Arons and A.J. Faller 1958, Some examples of stationary planetary flow patterns in bounded basins, Tellus 10, 179–187.CrossRefGoogle Scholar
  109. Stommel, H.M. and A.B. Arons 1972, On the abyssal circulation of the world ocean-V. The influence of bottom slope on the broadening of inertial boundary currents, Deep-Sea Res. 19, 707–718.Google Scholar
  110. Straub, D.N. 1992, On the transport and angular momentum balance of channel models of the ACC, J.Phys.Oceanogr. In press.Google Scholar
  111. Straub, D.N. and P.B. Rhines 1989, Effects of large-scale topography on abyssal circulation, J.Marine Res. 48, 223–253CrossRefGoogle Scholar
  112. Suginohara, N. and S. Aoki, 1991, Thermohaline circulation as horizontal convection on a /i-plane, J.Marine Res. 49, 295–320.CrossRefGoogle Scholar
  113. Tabata, S.B.T and D. Ramsden, 1986, Annual and interannual variability of steric sea level along line P in the North Pacific Ocean, J.Phys.Oceanog. 16, 1378–1398.CrossRefGoogle Scholar
  114. Toggweiler, J.R., and B. Samuels 1992, New radiocarbon constraints on the upwelling of abyssal water to the ocean surface, in The Global Carbon Cycle, M. Heimann ed, NATO ASI Series, Reidel.Google Scholar
  115. Tziperman, E. 1986, On the role of interior mixing and air-sea fluxes in determining the stratification and circulation of the oceans. J.Phys.Oceanogr. 16, 680–693.CrossRefGoogle Scholar
  116. Veronis, G. 1975, The role of models in tracer studies, in Numerical models of the ocean circulation, Nat.Acad.Sci USA, 1, 133–146.Google Scholar
  117. Wallace, J.M. and Y. Zhang 1992, Structure and seasonality of interannual and interdecadal variability of the geopotential height and temperature fields in the Northern Hemisphere troposphere, J.Climate, submitted.Google Scholar
  118. Walin, G. 1982, On the relation between sea-surface heat flow and thermal circulation in the ocean, Tellus 34, 187–195.CrossRefGoogle Scholar
  119. Walin, G. 1982, On the relation between sea-surface heat flow and thermal circulation in the ocean, Tellus 34, 187–195.CrossRefGoogle Scholar
  120. Warren, B.A. 1976, Structure of deep western boundary currents, Deep-Sea Res 23, 129–142.Google Scholar
  121. Warren, B.A. 1981, Deep circulation of the world ocean, in Evolution of Physical Oceanography, B. Warren and C. Wunsch eds., MIT Press, Cambridge.Google Scholar
  122. Weaver, A.J. and E.S. Sarachik 1990, On the importance of vertical resolution in certain ocean general circulation models, J.Phys.Oceanogr. 20, 600–609.CrossRefGoogle Scholar
  123. Weaver, A.J. and E.S. Sarachik 1991, Evidence for decadal variability in an ocean general circulation model: an advective mechanism, Atmosphere-Ocean, submitted.Google Scholar
  124. Welander, P. 1971, The thermocline problem. Phil.Trans.Roy.Soc. A., 270, 69–73.CrossRefGoogle Scholar
  125. Welander, P. 1986, Thermohaline effects in the ocean circulation and related simple models. in: Large-Scale Transport Processes in the Oceans and Atmosphere, D.L.T. Anderson and J. Willebrand eds, NATO ASI series, Reiderl.Google Scholar
  126. Welander, P. 1989, A new type of double-diffusive instability? Tellus 41A, 66–72.Google Scholar
  127. Wiffels, S.E., R.W. Schmitt, H.L. Bryden and A. Stigebrandt 1992, On the transport of freshwater by the oceans, J.Phys.Oceanogr. 22, 155–162.CrossRefGoogle Scholar
  128. Williams, R.G., 1989, The influence of air-sea interaction on the ventilated thermocline, J.Phys.Oceanogr. 19, 1255–1267.CrossRefGoogle Scholar
  129. Williams, R.B., 1991, The role of the mixed layer in setting the potential vorticity of the main thermocline, J.Phys.Oceanogr. 21, 1803–1814.CrossRefGoogle Scholar
  130. Worthington, L.V. 1954, A preliminary note on the time scale in North Atlantic circulation. Deep-Sea Res. 1, 244–251.CrossRefGoogle Scholar
  131. Worthington, L.V. 1977, The case for near-zero production of Antarctic Bottom Water, Geochim.Cosmochim.Acta 41, 1001–1006.CrossRefGoogle Scholar
  132. Wright, D.G. and T.F. Stocker 1991, A zonally averaged ocean model for the thermohaline circulation. Part I: model development and flow dynamics. J.Phys.Oceanogr. 21, 1713–1724.CrossRefGoogle Scholar
  133. Winton M. and E.S. Sarachik 1992, Thermohaline oscillations induced by strong steady salinity forcing of ocean general circulation models, J.Phys.Oceanogr. acceptedGoogle Scholar
  134. Woods, J.D. and W. Barkmann 1986, A Lagrangian mixed layer model of Atlantic 18°C water formation, Nature 319, 574–576.CrossRefGoogle Scholar
  135. Young, W.R. and G.R. Ierley 1986, Eastern boundary conditions and weak solutions of the ideal thermocline equations. J. Phys. Oceanogr. 16, 1884–1900.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Peter B. Rhines
    • 1
  1. 1.School of OceanographyUniversity of WashingtonUSA

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