The mean circulation of the Atlantic Ocean north of 30s determined with the adjoint method applied to an ocean general circulation model

The large-scale mean circulation of the Atlantic Ocean is examined using a general circulation model (GCM) and its approximate adjoint. A cost function is specified that requires the model inputs to be consistent with hydrographic observations and observed air-sea fluxes of heat and freshwater, whereas the velocity field has to adjust to the modified thermohaline initial and boundary conditions. The optimized, quasi-steady model state is closer to the observed circulation state than previous prognostic steady-state models of comparable resolution. However, it is only partially consistent with the error estimates derived from the observations. In the western boundary region large deviations of the optimized surface fluxes from the observations occur. Additionally, the heat release of the ocean shows unrealistically high values at around 60N. At quasi-equilibrium, in large parts of the thermocline values for temperature and salinity along the Gulf Stream and the North Atlantic current are significantly lower than those in the hydrographic data, thus tending toward winter-time conditions. The model produces a meridional overturning cell with maximum values of 16 to 23 Sv for different experiments. The corresponding heat transports reach maximum values between 0.83 and 1.07 X 10 5 W. Model deficiencies like the inappropriate spatial and temporal resolution obviously prevent realistic estimates of water mass distributions and surface fluxes not only in the area of the western boundary current. Another shortcoming of the presented results is the parameterization of eddies and subgrid-scale processes by poorly known diffusion coefficients. To overcome these problems at least partly, future models based on the adjoint method should have a seasonal and increased spatial resolution.

[1]  J. Willebrand,et al.  Fine Adjustment of Large Scale Air-Sea Energy Flux Parameterizations by Direct Estimates of Ocean Heat Transport , 1989 .

[2]  Dirk Olbers,et al.  The Inference of North Atlantic Circulation Patterns From Climatological Hydrographic Data (Paper 5R0560) , 1985 .

[3]  Frank O. Bryan,et al.  An Overlooked Problem in Model Simulations of the Thermohaline Circulation and Heat Transport in the Atlantic Ocean , 1995 .

[4]  Rüdiger Gerdes,et al.  The influence of numerical advection schemes on the results of ocean general circulation models , 1991 .

[5]  Jorge L. Sarmiento,et al.  An ocean transport model for the North Atlantic , 1982 .

[6]  P. Gent,et al.  Isopycnal mixing in ocean circulation models , 1990 .

[7]  W. Large,et al.  A Global Ocean Wind Stress Climatology Based on ECMWF Analyses , 1989 .

[8]  R. Schmitt,et al.  Transport of freshwater by the oceans , 1992 .

[9]  Sol Hellerman,et al.  Normal Monthly Wind Stress Over the World Ocean with Error Estimates , 1983 .

[10]  Jane C. Hsiung Mean surface energy fluxes over the global ocean , 1986 .

[11]  P. Bogden,et al.  Evaporation Minus Precipitation and Density Fluxes for the North Atlantic , 1989 .

[12]  M. Cox A primitive equation, 3-dimensional model of the ocean , 1984 .

[13]  A. Watson,et al.  Deep-water renewal in the northern North Atlantic , 1990, Nature.

[14]  W. Johns,et al.  Western Boundary Current Structure and Variability East of Abaco, Bahamas at 26.5°N , 1990 .

[15]  R. Haney Surface Thermal Boundary Condition for Ocean Circulation Models , 1971 .

[16]  M. Rhein The Deep Western Boundary Current: tracers and velocities , 1994 .

[17]  M. Rhein,et al.  The Atlantic Deep Western Boundary Current: Water masses and transports near the equator , 1995 .

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

[19]  M. Mccartney Recirculating components to the deep boundary current of the northern North Atlantic. , 1992 .

[20]  A. Gargett,et al.  Sensitivity of the GFDL Ocean Model to Different Diffusivities for Heat and Salt , 1992 .

[21]  J. Sarmiento On the north and tropical Atlantic heat balance , 1986 .

[22]  Andreas Schiller,et al.  A technique for the determination of surface heat and freshwater fluxes from hydrographic observations, using an approximate adjoint ocean circulation model , 1995 .

[23]  K. Leaman,et al.  On the Average Absolute Transport of the Deep Western Boundary Currents East of Abaco Island, the Bahamas , 1990 .

[24]  R. Schlitzer Determining the Mean, Large-Scale Circulation of the Atlantic with the Adjoint Method , 1993 .

[25]  M. Lozier,et al.  Anomalous Anomalies in Averaged Hydrographic Data , 1994 .

[26]  Frank O. Bryan,et al.  Parameter sensitivity of primitive equation ocean general circulation models , 1987 .

[27]  Rüdiger Gerdes,et al.  On the influence of DSOW in a numerical model of the North Atlantic general circulation , 1995 .

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

[29]  J. Marotzke,et al.  Finding the steady state of a general circulation model through data assimilation: Application to the North Atlantic Ocean , 1993 .

[30]  K. Aagaard,et al.  Transports through Bering Strait: Annual and interannual variability , 1988 .

[31]  W. Krauss The North Atlantic Current , 1986 .

[32]  C. Dorman,et al.  Precipitation over the Atlantic Ocean, 30°S to 70°N , 1981 .

[33]  L. Hasse,et al.  The Scientific Beaufort Equivalent Scale: Effects on Wind Statistics and Climatological Air-Sea Flux Estimates in the North Atlantic Ocean , 1991 .

[34]  R. Molinari,et al.  A continuous deep western boundary current between Abaco (26.5°N) and Barbados (13°N) , 1988 .

[35]  P. Cummins,et al.  Sensitivity of the GFDL Ocean General Circulation Model to a Parameterization of Vertical Diffusion , 1990 .

[36]  K. Bryan A Numerical Method for the Study of the Circulation of the World Ocean , 1997 .

[37]  Harry L. Bryden,et al.  Direct estimates and mechanisms of ocean heat transport , 1982 .

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

[39]  Andrew F. Bunker,et al.  Computations of Surface Energy Flux and Annual Air–Sea Interaction Cycles of the North Atlantic Ocean , 1976 .

[40]  A. Treguier Kinetic Energy Analysis of an Eddy Resolving, Primitive Equation Model of the North Atlantic , 1992 .

[41]  S. Rintoul South Atlantic interbasin exchange , 1991 .

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

[43]  N. Hogg A least-squares fit of the advective-diffusive equations to Levitus Atlas data , 1987 .

[44]  P. Gent,et al.  Parameterizing eddy-induced tracer transports in ocean circulation models , 1995 .

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

[46]  Ralph J. Slutz,et al.  A Comprehensive Ocean-Atmosphere Data Set , 1987 .

[47]  Eli Tziperman,et al.  Oceanic Data Analysis Using a General Circulation Model. Part II: A North Atlantic Model , 1992 .

[48]  W. Thacker,et al.  An Optimal-Control/Adjoint-Equations Approach to Studying the Oceanic General Circulation , 1989 .

[49]  K. Leaman,et al.  The Average Distribution of Volume Transport and Potential Vorticity with Temperature at Three Sections across the Gulf Stream , 1989 .

[50]  J. Swift,et al.  The tritium:krypton‐85 age of Denmark Strait Overflow Water and Gibbs Fracture Zone Water just south of Denmark Strait , 1989 .