A Simplified General Circulation Model for a Baroclinic Ocean with Topography. Part I: Theory, Waves, and Wind-Driven Circulations

Dirk Olbers Alfred Wegener Institute for Polar and Marine Research, Bremerhaven, Germany

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Carsten Eden Department of Oceanography, Dalhousie University, Halifax, Canada

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Abstract

A new type of ocean general circulation model with simplified physics is described and tested for various simple wind-driven circulation problems. The model consists of the vorticity balance of the depth-averaged flow and a hierarchy of equations for “vertical moments” of density and baroclinic velocity. The first vertical density moment is the (vertically integrated) potential energy, which is used to describe the predominant link between the barotropic and the baroclinic oceanic flow in the presence of sloping topography. Tendency equations for the vertical moments of density and baroclinic velocity and an appropriate truncation of the coupled hierarchy of moments are derived that, together with the barotropic vorticity balance, yield a closed set of equations describing the barotropic–baroclinic interaction (BARBI) model of the oceanic circulation. Idealized companion experiments with a numerical implementation of the BARBI model and a primitive equation model indicate that wave propagation properties and baroclinic adjustments are correctly represented in BARBI in midlatitudes as well as in equatorial latitudes. Furthermore, a set of experiments with a realistic application to the Atlantic/Southern Ocean system reproduces important aspects that have been previously reported by studies of gyre circulations and circumpolar currents using full primitive equation models.

Current affiliation: Institut für Meereskunde, Kiel, Germany

Corresponding author address: Carsten Eden, Institut für Meereskunde, FB I, Theorie und Modellierung, Düsternbrooker Weg 20, 24105 Kiel, Germany. Email: ceden@ifm.uni-kiel.de

Abstract

A new type of ocean general circulation model with simplified physics is described and tested for various simple wind-driven circulation problems. The model consists of the vorticity balance of the depth-averaged flow and a hierarchy of equations for “vertical moments” of density and baroclinic velocity. The first vertical density moment is the (vertically integrated) potential energy, which is used to describe the predominant link between the barotropic and the baroclinic oceanic flow in the presence of sloping topography. Tendency equations for the vertical moments of density and baroclinic velocity and an appropriate truncation of the coupled hierarchy of moments are derived that, together with the barotropic vorticity balance, yield a closed set of equations describing the barotropic–baroclinic interaction (BARBI) model of the oceanic circulation. Idealized companion experiments with a numerical implementation of the BARBI model and a primitive equation model indicate that wave propagation properties and baroclinic adjustments are correctly represented in BARBI in midlatitudes as well as in equatorial latitudes. Furthermore, a set of experiments with a realistic application to the Atlantic/Southern Ocean system reproduces important aspects that have been previously reported by studies of gyre circulations and circumpolar currents using full primitive equation models.

Current affiliation: Institut für Meereskunde, Kiel, Germany

Corresponding author address: Carsten Eden, Institut für Meereskunde, FB I, Theorie und Modellierung, Düsternbrooker Weg 20, 24105 Kiel, Germany. Email: ceden@ifm.uni-kiel.de

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  • Anderson, D. L. T., and A. E. Gill, 1975: Spin-up of a stratified ocean, with applications to upwelling. Deep-Sea Res., 22 , 583586.

  • Anderson, D. L. T., and P. D. Killworth, 1977: Spin-up of a stratified ocean, with topography. Deep-Sea Res., 24 , 709732.

  • Barnier, B., L. Siefridt, and P. Marchesiello, 1995: Thermal forcing for a global ocean circulation model using a three year climatology of ECMWF analysis. J. Mar. Syst., 6 , 363380.

    • Search Google Scholar
    • Export Citation
  • Bleck, R., C. Rooth, D. Hu, and L. T. Smith, 1992: Salinity-driven thermocline transients in a wind- and thermohaline forced isopycnic coordinate model of the North Atlantic. J. Phys. Oceanogr., 22 , 14861505.

    • Search Google Scholar
    • Export Citation
  • Böning, C. W., F. O. Bryan, W. R. Holland, and R. Doescher, 1996: Deep-water formation and meridional overturning in a high-resolution model of the North Atlantic. J. Phys. Oceanogr., 26 , 11421164.

    • Search Google Scholar
    • Export Citation
  • Borowski, D., R. Gerdes, and D. Olbers, 2002: Thermohaline and wind forcing of a circumpolar channel with blocked geostrophic contours. J. Phys. Oceanogr., 32 , 25202540.

    • Search Google Scholar
    • Export Citation
  • Bryan, K., and M. D. Cox, 1972: The circulation of the world ocean: A numerical study. Part I, A homogenous model. J. Phys. Oceanogr., 2 , 319335.

    • Search Google Scholar
    • Export Citation
  • Cai, W., and P. Baines, 1996: Interactions between thermohaline- and wind-driven circulations and their relevance to the dynamics of the Antarctic Circumpolar Current, in a coarse-resolution global ocean general circulation model. J. Geophys. Res., 101 , 1407314093.

    • Search Google Scholar
    • Export Citation
  • Cox, M. D., 1972: A baroclinic numerical model of the world ocean: Preliminary results. Numerical Models of Ocean Circulation, R. O. Reid et al., Eds., National Academy of Sciences, 107–120.

    • Search Google Scholar
    • Export Citation
  • Davey, M. K., W. W. Hsieh, and R. C. Wajsowicz, 1983: The free Kelvin wave with lateral and vertical viscosity. J. Phys. Oceanogr., 13 , 21822191.

    • Search Google Scholar
    • Export Citation
  • Greatbatch, R. J., A. F. Fanning, A. D. Goulding, and S. Levitus, 1991: A diagnosis of interpentadal circulation changes in the North Atlantic. J. Geophys. Res., 96 , 2200922023.

    • Search Google Scholar
    • Export Citation
  • Han, Y-J., 1984a: A numerical World Ocean general circulation model. Part I. Basic design and barotropic experiment. Dyn. Atmos. Oceans, 8 , 107140.

    • Search Google Scholar
    • Export Citation
  • Han, Y-J., 1984b: A numerical world ocean general circulation model. Part II. A baroclinic experiment. Dyn. Atmos. Oceans, 8 , 141172.

    • Search Google Scholar
    • Export Citation
  • Holland, W. R., 1973: Baroclinic and topographic influences on the transport in western boundary currents. Geophys. Fluid Dyn., 4 , 187210.

    • Search Google Scholar
    • Export Citation
  • Hsieh, W. W., M. K. Davey, and R. C. Wajsowicz, 1983: The free Kelvin wave in finite-difference numerical models. J. Phys. Oceanogr., 13 , 13831397.

    • Search Google Scholar
    • Export Citation
  • Killworth, P. D., 1985: A two level wind and buoyancy-driven thermocline model. J. Phys. Oceanogr., 15 , 14141432.

  • Killworth, P. D., and J. R. Blundell, 2003: Long extratropical planetary wave propagation in the presence of slowly varying mean flow and bottom topography. Part I: The local problem. J. Phys. Oceanogr., 33 , 784801.

    • Search Google Scholar
    • Export Citation
  • National Geophysical Data Center, 1988: Digital relief of the surface of the Earth (ETOP05). National Geophysical Data Center Data Annoucenment 88-MGG-02.

    • Search Google Scholar
    • Export Citation
  • Neumann, G., 1955: On the dynamics of wind-driven currents. Meteorological Papers, Vol. 2, No. 4, New York University College of Engineering, 32 pp.

    • Search Google Scholar
    • Export Citation
  • Olbers, D., and C. Wübber, 1991: The role of wind and buoyancy forcing of the Antarctic Circumpolar Current. Strategies for Future Climate Research, M. Latif, Ed., Max-Planck-Institut fur Meteorologie, 161–191.

    • Search Google Scholar
    • Export Citation
  • Pacanowski, R. C., 1995: MOM 2 Documentation, User's Guide and Reference Manual. GFDL Ocean Group Tech. Report, 232 pp.

  • Redler, R., K. Ketelsen, J. Dengg, and C. W. Böning, 1998: A high-resolution model for the circulation of the Atlantic Ocean. Proc. Fourth European SGI/CRAY MPP Workshop, Garching, Germany, Insititutes for Plasma Physics, 95–108.

    • Search Google Scholar
    • Export Citation
  • Rhines, P., 1977: The dynamics of unsteady currents. The Sea, E. D. Goldberg, Ed., Marine Modeling, Vol. 6, John Wiley and Sons, 189–318.

    • Search Google Scholar
    • Export Citation
  • Rintoul, S. R., C. Hughes, and D. Olbers, 2001: The Antarctic Circumpolar Current system. Ocean Circulation and Climate, G. Siedier, J. Gould, and J. Church, Eds., Academic Press, 271–302.

    • Search Google Scholar
    • Export Citation
  • Sarkisyan, A. S., and V. F. Ivanov, 1971: Joint effect of baroclinicity and bottom relief as an important factor in the dynamics of sea currents. Izv. Acad. Sci. USSR Atmos. Oceanic Phys., 7 , 173188.

    • Search Google Scholar
    • Export Citation
  • Schulman, E. E., and P. P. Niiler, 1970: Topographic effects on the wind-driven ocean circulation. Geophys. Fluid Dyn., 1 , 439462.

  • Stevens, D. P., 1990: On open boundary conditions for three dimensional primitiv equation ocean circulation models. Geophys. Astrophys. Fluid Dyn., 51 , 103133.

    • Search Google Scholar
    • Export Citation
  • Welander, P., 1959: On the vertically integrated mass transport in the oceans. The Atmosphere and the Sea in Motion, B. Bolin, Ed., The Rockefeller Institute Press, 95–101.

    • Search Google Scholar
    • Export Citation
  • Wolff, J-O., E. Maier-Reimer, and D. J. Olbers, 1991: Wind-driven flow over topography in a zonal β-plane channel: A quasi-geostrophic model of the antarctic circumpolar current. J. Phys. Oceanogr., 21 , 236264.

    • Search Google Scholar
    • Export Citation
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