The Inference of North Atlantic Circulation Patterns From Climatological Hydrographic Data (Paper 5R0560)

We present a review of β spiral techniques which have recently been developed for the determination of absolute velocity profiles from hydrographic observations. A specific technique is then designed and applied to the North Atlantic part of Levitus' (1982) climatological hydrographic atlas with the aim of estimating reference velocities and diffusivities for heat, salt, and potential vorticity. These quantities are determined on a 1° grid from the local gradients of temperature and salinity under the constraints of the thermal wind relations and the conservation of the respective tracers including diapycnic and isopycnic mixing terms. The estimation procedure includes the statistical framework of inverse modeling in the weighting of the constraints by the data noise variances and the determination of the covariances of the model parameters. The resulting circulation pattern bears strong resemblance to the classical view of the North Atlantic circulation as put foreward by Wust (1935) and Defant (1941). The upper layers are dominated by the Gulf Stream/North Atlantic current system with a broad subtropical gyre recirculation. In the lower layer a western boundary current is fed from Norwegian Sea overflow penetrating the Gibbs fracture zone and partly circulating around the Labrador Sea. As a consequence of the climatological averaging the currents appear in broad shape with much reduced velocities, in particular in the upper layer. The vertical structure reveals an almost horizontal level of no motion pattern much along the concepts of Defant (1941). Diffusion coefficients were determined for an upper layer (depth of mixed layer to 800 m depth) and a lower layer (800 m to 2000 m). The spatial pattern of these coefficients correlates with maps of eddy activity, showing higher values in the strong current regimes and low values within the subtropical and subpolar gyre. Average values in the lower layer of the quiet regions are 10−5 m²/s and 10² m²/s for the diapycnal and isopycnal diffusivity, respectively, and 10−1 m²/s for the vertical diffusivity of vorticity (which yields 10² m²/s for the lateral diffusivity of potential vorticity). Toward the regions of strong currents and in the upper layer these values roughly increase by an order of magnitude.

[1]  G. Bigg The beta spiral method , 1985 .

[2]  G. Needler The absolute velocity as a function of conserved measurable quantities , 1985 .

[3]  C. Wunsch An Eclectic Atlantic Ocean Circulation Model. Part I: The Meridional Flux of Heat , 1984 .

[4]  T. McDougall The Relative Roles of Diapycnal and Isopycnal Mixing on Subsurface Water Mass Conversion , 1984 .

[5]  W. Broecker,et al.  The average vertical mixing coefficient for the oceanic thermocline , 1984 .

[6]  Ann E. Gargett,et al.  Vertical eddy diffusivity in the ocean interior , 1984 .

[7]  K. Bryan,et al.  A Numerical Model of the Ventilated Thermocline , 1984 .

[8]  W. R. Holland,et al.  Dynamics of the oceanic general circulation: the potential vorticity field , 1984, Nature.

[9]  D. Olbers,et al.  The level of no motion in an ideal Fluid - Reply , 1984 .

[10]  C. Garrett On the initial streakness of a dispersing tracer in two- and three-dimensional turbulence , 1983 .

[11]  D. Coats The absolute flow field in the South Pacific Ocean , 1983 .

[12]  Dirk Olbers,et al.  Models of the oceanic internal wave field , 1983 .

[13]  A. D. Kirwan On “Oceanic Isopycnal Mixing By Coordinate Rotation” , 1983 .

[14]  H. Stommel,et al.  Four Views of a Portion of the North Atlantic Subtropical Gyre , 1983 .

[15]  G. Holloway A conjecture relating oceanic internal waves and small‐scale processes , 1983 .

[16]  J. Pedlosky,et al.  The Ventilated Thermocline , 1983 .

[17]  A. Robinson,et al.  Eddy-Induced Dispersion and Mixing , 1983 .

[18]  W. R. Holland,et al.  Eddy-Resolving Numerical Models of Large-Scale Ocean Circulation , 1983 .

[19]  P. Rhines,et al.  North Atlantic Potential Vorticity and Its Relation to the General Circulation , 1982 .

[20]  M. Redi Oceanic Isopycnal Mixing by Coordinate Rotation , 1982 .

[21]  G. Mellor,et al.  A diagnostic calculation of the general circulation of the atlantic ocean , 1982 .

[22]  J. Sarmiento,et al.  The North Atlantic tritium distribution in 1972 , 1982 .

[23]  William R. Young,et al.  Homogenization of potential vorticity in planetary gyres , 1982, Journal of Fluid Mechanics.

[24]  D. Haidvogel,et al.  Effects of Variable and Anisotropic Diffusivities in a Steady-State Diffusion Model , 1982 .

[25]  C. Wunsch,et al.  Methods for box models and ocean circulation tracers: Mathematical programing and nonlinear inverse theory , 1982 .

[26]  S. Levitus Climatological Atlas of the World Ocean , 1982 .

[27]  C. Wunsch,et al.  Towards the general circulation of the North Atlantic ocean , 1982 .

[28]  W. Emery,et al.  Mean temperature-salinity, salinity-depth and temperature-depth curves for the North Atlantic and the North Pacific , 1982 .

[29]  J. Reid On the mid-depth circulation of the world ocean. , 1981 .

[30]  D. Behringer,et al.  Absolute Geostrophic Velocity Determination from Historical Hydrographic Data in the Western North Atlantic , 1980 .

[31]  H. Bryden Geostrophic vorticity balance in midocean , 1980 .

[32]  D. Behringer,et al.  The beta spiral in the North Atlantic subtropical gyre. , 1980 .

[33]  F. Schott,et al.  On the effect of vertical mixing on the determination of absolute currents by the beta spiral method , 1980 .

[34]  F. Schott,et al.  Calculation of absolute velocities from different parameters in the western North Atlantic , 1979 .

[35]  W. R. Holland,et al.  A theoretical discussion of eddy-driven mean flows , 1979 .

[36]  C. Garrett Mixing in the ocean interior , 1979 .

[37]  C. Wunsch,et al.  The Climatology of Deep Ocean Internal Waves , 1979 .

[38]  L. Armi Effects of variations in eddy diffusivity on property distributions in the oceans , 1979 .

[39]  Margaret King Robinson,et al.  Atlas of North Atlantic-Indian Ocean Monthly Mean Temperatures and Mean Salinities of the Surface Layer. , 1979 .

[40]  C. Wunsch The North Atlantic general circulation west of 50°W determined by inverse methods , 1978 .

[41]  F. Schott,et al.  Beta spirals and absolute velocities in different oceans , 1978 .

[42]  J. Reid On the middepth circulation and salinity field in the North Atlantic Ocean , 1978 .

[43]  A. Leetmaa,et al.  Updated charts of the mean annual wind stress, convergences in the Ekman layers, and Sverdrup transports in the North Atlantic , 1978 .

[44]  C. Eriksen Measurements and models of fine structure, internal gravity waves, and wave breaking in the deep Ocean , 1978 .

[45]  D. Olbers,et al.  The Iwex spectrum , 1978 .

[46]  Sydney Levitus,et al.  Global Analysis of Oceanographic Data , 1977 .

[47]  H. Dantzler Potential Energy Maxima in the Tropical and Subtropical North Atlantic , 1977 .

[48]  C. Wunsch,et al.  Determining the General Circulation of the Oceans: A Preliminary Discussion , 1977, Science.

[49]  M. Gregg Variations in the Intensity of Small-Scale Mixing in the Main Thermocline , 1977 .

[50]  Henry Stommel,et al.  The beta spiral and the determination of the absolute velocity field from hydrographic station data , 1977 .

[51]  L. V. Worthington On the North Atlantic Circulation , 1977 .

[52]  D. Olbers,et al.  Inverse technique analysis of a large data set , 1976 .

[53]  K. Wyrtki,et al.  Eddy energy in the oceans , 1976 .

[54]  P. Richardson,et al.  The Mediterranean Outflow—A Simple Advection-Diffusion Model , 1975 .

[55]  Chris Garrett,et al.  Space-Time Scales of Internal Waves' A Progress Report , 1975 .

[56]  R. A. Heath,et al.  Diffusion Coefficients Calculated from the Mediterranean Salinity Anomaly in the North Atlantic Ocean , 1975 .

[57]  W. R. Holland,et al.  A Numerical Calculation of the Circulation in the North Atlantic Ocean , 1972 .

[58]  R. Wiggins,et al.  The general linear inverse problem - Implication of surface waves and free oscillations for earth structure. , 1972 .

[59]  G. Needler Thermocline models with arbitrary barotropic flow , 1971 .

[60]  Harold Solomon On the Representation of Isentropic Mixing in Ocean Circulation Models , 1971 .

[61]  J. Woods Wave-induced shear instability in the summer thermocline , 1968, Journal of Fluid Mechanics.

[62]  F. C. Fuglister Gulf stream '60 , 1963 .

[63]  H. Stommel ON THE CAUSE OF THE TEMPERATURE-SALINITY CURVE IN THE OCEAN. , 1962, Proceedings of the National Academy of Sciences of the United States of America.

[64]  F. C. Fuglister Atlantic Ocean atlas of temperature and salinity profiles and data from the International Geophysical Year of 1957-1958 , 1960 .

[65]  Martin W. Johnson,et al.  The Oceans: Their Physics, Chemistry, and General Biology , 1944 .

[66]  R. B. Montgomery Circulation in upper layers of southern North Atlantic deduced with use of isentropic analysis , 1938 .

[67]  A. Parr On the Validity of the Dynamic Topographic Method for the Determination of Ocean Current Trajectories , 1938 .

[68]  F. Nansen,et al.  The Norwegian Sea : its physical oceanography based upon the Norwegian researches 1900-1904 , 1910 .