A Turbulent Bottom Boundary Layer Code for Use in Numerical Ocean Models

Peter D. Killworth Southampton Oceanography Centre, Southampton, United Kingdom

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Neil R. Edwards Southampton Oceanography Centre, Southampton, United Kingdom

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Abstract

A model for a turbulent bottom boundary “slab” layer is described. The model is designed to fit under a standard, depth coordinate ocean general circulation model, with a view to improving its response both for local and climate problems. The depth of the layer varies temporally and spatially. Both analytical and numerical versions of the model conserve energy. The model is tested using a source of dense water on a slope, and performs satisfactorily, with the plume spreading far more than the equivalent case without a bottom layer.

Corresponding author address: Dr. Peter D. Killworth, Southampton Oceanography Centre, Empress Dock, Southampton SO14 3ZH, United Kingdom.

Abstract

A model for a turbulent bottom boundary “slab” layer is described. The model is designed to fit under a standard, depth coordinate ocean general circulation model, with a view to improving its response both for local and climate problems. The depth of the layer varies temporally and spatially. Both analytical and numerical versions of the model conserve energy. The model is tested using a source of dense water on a slope, and performs satisfactorily, with the plume spreading far more than the equivalent case without a bottom layer.

Corresponding author address: Dr. Peter D. Killworth, Southampton Oceanography Centre, Empress Dock, Southampton SO14 3ZH, United Kingdom.

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  • Armi, L., and R. C. Millard, 1976: The bottom boundary layer of the deep ocean. J. Geophys. Res.,81, 4983–4990.

  • Baringer, M. O., and J. F. Price, 1997a: Mixing and spreading of the Mediterranean outflow. J. Phys. Oceanogr.,27, 1654–1677.

  • ——, and ——, 1997b: Momentum and energy balance of the Mediterranean outflow. J. Phys. Oceanogr.,27, 1678–1692.

  • Beckmann, A., and R. Döscher, 1997: A method for improved representation of dense water spreading over topography in geopotential-coordinate models. J. Phys. Oceanogr.,27, 581–591.

  • Cox, M. D., 1984: A primitive equation, 3-dimensional model of the ocean. GFDL Ocean Group Tech. Rep. 1, GFDL, Princeton University, Princeton, NJ, 143 pp.

  • Deardorff, J. W., 1972: Parameterization of the planetary boundary layer for use in general circulation models. Mon. Wea. Rev.,100, 93–106.

  • Dietrich, D. E., M. G. Marietta, and P. J. Roache, 1987: An ocean modelling system with turbulent boundary layers and topography: Numerical description. Int. J. Num. Meth. Fluids,7, 833–855.

  • Dynamo Group, 1997: DYNAMO: Dynamics of North Atlantic models: Simulation and assimilation with high resolution models. MAS2-CT93-0060, 363 pp.

  • Emms, P. W., 1998a: Streamtube models of gravity currents in the ocean. Deep-Sea Res.,44, 1575–1610.

  • ——, 1998b: A streamtube model of a rotating turbidity current J. Mar. Res,56, 41–74.

  • Fohrmann, H., J. O. Backhaus, F. Blaume, and J. Rumohr, 1998: Sediments in bottom arrested gravity plumes: Numerical case studies. J. Phys. Oceanogr.,28, 2250–2274.

  • Gnanadesikan, A., 1999: Representing the bottom boundary layer in the GFDL ocean model: Model framework, dynamical impacts, and parameter sensitivity. J. Phys. Oceanogr., in press.

  • Haney, R. L., 1991: On the pressure gradient force over steep topography in sigma coordinate ocean models. J. Phys. Oceanogr.,21, 610–619.

  • Hughes, C. W., 1995: A warning about topography in the Cox code. Ocean Modeling (unpublished manuscript) 106..

  • Johnson, G. C., T. B. Sanford, and M. O. Baringer, 1994: Stress on the Mediterranean outflow plume: Part I. Velocity and water property measurements. J. Phys. Oceanogr.,24, 2072–2083.

  • Jungclaus, J. H., and J. O. Backhaus, 1994: Application of a transient reduced gravity plume model to the Denmark Strait overflow. J. Geophys. Res.,99, 12 375–12 396.

  • ——, ——, and H. Fohrmann, 1995: Outflow of dense water from the Storfjord in Svalbard: A numerical model study. J. Geophys. Res.,100, 24 719–24 728.

  • Killworth, P. D., 1977: Mixing on the Weddell Sea continental slope. Deep-Sea Res.,24, 427–448.

  • ——, D. Staniforth, D. J. Webb, and S. Paterson, 1991: The development of a free surface Bryan–Cox–Semtner model. J. Phys. Oceanogr.,21, 1333–1348.

  • Mellor, G. L., and T. Yamada, 1974: A hierarchy of turbulence closure models for planetary boundary layers. J. Atmos. Sci.,31, 1791–1806.

  • Nof, D., 1983: The translation of isolated eddies on a sloping bottom. Deep-Sea Res.,30, 171–192.

  • Nurser, A. J. G., 1996: A review of models and observations of the oceanic mixed layer. Southampton Oceanography Centre Internal Document No. 14, 247 pp.

  • Pratt, L. J., and P. A. Lundberg, 1991: Hydraulics of rotating strait and sill flow. Annu. Rev. Fluid Mech.,23, 81–106.

  • Price, J. F., and M. O. Baringer, 1994: Outflows and deep water production by marginal seas. Progress in Oceanography, Vol. 33, Pergamon, 161–200.

  • Rossby, C. G., and R. B. Montgomery, 1935: The layer of frictional influence in wind and ocean currents. Pap. Phys. Oceanogr. Meteor.,3, 1–101.

  • Smith, P. C., 1975: A streamtube model for bottom boundary currents in the ocean. Deep-Sea Res.,22, 853–873.

  • Webb, D. J., 1996: An ocean model code for array processor computers. Comput. Geosci.,22, 569–578.

  • Zilitinkevich, S., and D. V. Mironov, 1996: A multi-limit formulation for the equilibrium depth of a stably stratified boundary layer. Bound.-Layer Meteor.,81, 325–351.

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