Downfront Winds over Buoyant Coastal Plumes

Michael A. Spall Woods Hole Oceanographic Institution, Woods Hole, Massachusetts

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Leif N. Thomas Department of Earth System Science, Stanford University, Stanford, California

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Abstract

Downfront, or downwelling favorable, winds are commonly found over buoyant coastal plumes. It is known that these winds can result in mixing of the plume with the ambient water and that the winds influence the transport, spatial extent, and stability of the plumes. In the present study, the interaction of the Ekman velocity in the surface layer and baroclinic instability supported by the strong horizontal density gradient of the plume is explored with the objective of understanding the potential vorticity and buoyancy budgets. The approach makes use of an idealized numerical model and scaling theory. It is shown that when winds are present the weak stratification resulting from vertical mixing and the strong baroclinicity of the front results in near-zero average potential vorticity q. For weak to moderate winds, the reduction of q by diapycnal mixing is balanced by the generation of q through the geostrophic stress term in the regions of strong horizontal density gradients and stable stratification. However, for very strong winds the wind stress overwhelms the geostrophic stress and leads to a reduction in q, which is balanced by the vertical mixing term. In the absence of winds, the geostrophic stress dominates mixing and the flow rapidly restratifies. Nonlinearity, extremes of relative vorticity and vertical velocity, and mixing are all enhanced by the presence of a coast. Scaling estimates developed for the eddy buoyancy flux, the surface potential vorticity flux, and the diapycnal mixing rate compare well with results diagnosed from a series of numerical model calculations.

Corresponding author address: Michael Spall, MS 21, 360 Woods Hole Road, Woods Hole, MA 02543. E-mail: mspall@whoi.edu

Abstract

Downfront, or downwelling favorable, winds are commonly found over buoyant coastal plumes. It is known that these winds can result in mixing of the plume with the ambient water and that the winds influence the transport, spatial extent, and stability of the plumes. In the present study, the interaction of the Ekman velocity in the surface layer and baroclinic instability supported by the strong horizontal density gradient of the plume is explored with the objective of understanding the potential vorticity and buoyancy budgets. The approach makes use of an idealized numerical model and scaling theory. It is shown that when winds are present the weak stratification resulting from vertical mixing and the strong baroclinicity of the front results in near-zero average potential vorticity q. For weak to moderate winds, the reduction of q by diapycnal mixing is balanced by the generation of q through the geostrophic stress term in the regions of strong horizontal density gradients and stable stratification. However, for very strong winds the wind stress overwhelms the geostrophic stress and leads to a reduction in q, which is balanced by the vertical mixing term. In the absence of winds, the geostrophic stress dominates mixing and the flow rapidly restratifies. Nonlinearity, extremes of relative vorticity and vertical velocity, and mixing are all enhanced by the presence of a coast. Scaling estimates developed for the eddy buoyancy flux, the surface potential vorticity flux, and the diapycnal mixing rate compare well with results diagnosed from a series of numerical model calculations.

Corresponding author address: Michael Spall, MS 21, 360 Woods Hole Road, Woods Hole, MA 02543. E-mail: mspall@whoi.edu
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  • Allen, J. S., and P. A. Newburger, 1996: Downwelling circulation on the Oregon continental shelf. Part I: Response to idealized forcing. J. Phys. Oceanogr., 26, 20112035, doi:10.1175/1520-0485(1996)026<2011:DCOTOC>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Bachman, S. D., and J. R. Taylor, 2016: Numerical simulations of the equilibrium between eddy-induced restratification and vertical mixing. J. Phys. Oceanogr., 46, 919935, doi:10.1175/JPO-D-15-0110.1.

    • Search Google Scholar
    • Export Citation
  • Batifoulier, F., P. Lazure, and P. Bonneton, 2012: Poleward coastal jets induced by westerlies in the Bay of Biscay. J. Geophys. Res., 117, C03023, doi:10.1029/2011JC007658.

    • Search Google Scholar
    • Export Citation
  • Boccaletti, G., R. Ferrari, and B. Fox-Kemper, 2007: Mixed layer instabilities and restratification. J. Phys. Oceanogr., 37, 22282250, doi:10.1175/JPO3101.1.

    • Search Google Scholar
    • Export Citation
  • D’Asaro, E., C. M. Lee, L. Rainville, R. Harcourt, and L. N. Thomas, 2011: Enhanced turbulence and energy dissipation at ocean fronts. Science, 332, 318332, doi:10.1126/science.1201515.

    • Search Google Scholar
    • Export Citation
  • Dickson, R. R., J. Meincke, S.-A. Malmberg, and A. J. Lee, 1988: The “Great Salinity Anomaly” in the northern North Atlantic, 1968–1982. Prog. Oceanogr., 20, 103151, doi:10.1016/0079-6611(88)90049-3.

    • Search Google Scholar
    • Export Citation
  • Fichefet, T., C. Poncin, H. Goosse, P. Huybrechts, I. Janssens, and H. L. Truet, 2003: Implications of changes in freshwater flux from the Greenland Ice Sheet for the climate of the 21st century. Geophys. Res. Lett., 30, 1911, doi:10.1029/2003GL017826.

    • Search Google Scholar
    • Export Citation
  • Fox-Kemper, B., R. Ferrari, and R. Hallberg, 2008: Parameterization of mixed layer eddies. Part I: Theory and diagnosis. J. Phys. Oceanogr., 38, 11451165, doi:10.1175/2007JPO3792.1.

    • Search Google Scholar
    • Export Citation
  • Garrett, C. J. R., and J. W. Loder, 1981: Dynamical aspects of shallow sea fronts. Philos. Trans. Roy. Soc. London, A302, 563581, doi:10.1098/rsta.1981.0183.

    • Search Google Scholar
    • Export Citation
  • Gula, J., M. J. Molemaker, and J. C. McWilliams, 2014: Submesoscale cold filaments in the Gulf Stream. J. Phys. Oceanogr., 44, 26172643, doi:10.1175/JPO-D-14-0029.1.

    • Search Google Scholar
    • Export Citation
  • Harden, B. E., I. A. Renfrew, and G. N. Petersen, 2011: A climatology of wintertime barrier winds off southeast Greenland. J. Climate, 24, 47014717, doi:10.1175/2011JCLI4113.1.

    • Search Google Scholar
    • Export Citation
  • Hoskins, B. J., 1974: The role of potential vorticity in symmetric stability and instability. Quart. J. Roy. Meteor. Soc., 100, 480482, doi:10.1002/qj.49710042520.

    • Search Google Scholar
    • Export Citation
  • Hoskins, B. J., 1982: The mathematical theory of frontogenesis. Annu. Rev. Fluid Mech., 14, 131151, doi:10.1146/annurev.fl.14.010182.001023.

    • Search Google Scholar
    • Export Citation
  • Jungclaus, J. H., H. Haak, M. Esch, E. Roeckner, and J. Marotzke, 2006: Will Greenland melting halt the thermohaline circulation? Geophys. Res. Lett., 33, L17708, doi:10.1029/2006GL026815.

    • Search Google Scholar
    • Export Citation
  • Large, W. G., J. C. McWilliams, and S. C. Doney, 1994: Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization. Rev. Geophys., 32, 363403, doi:10.1029/94RG01872.

    • Search Google Scholar
    • Export Citation
  • Magaldi, M. G., T. M. Ozgokmen, A. Griffa, and M. Rixen, 2010: On the response of a turbulent coastal buoyant current to wind events: The case of the western Adriatic Current. Ocean Dyn., 60, 93122, doi:10.1007/s10236-009-0247-9.

    • Search Google Scholar
    • Export Citation
  • Mahadevan, A., A. Tandon, and R. Ferrari, 2010: Rapid changes in mixed layer stratification driven by submesoscale instabilities and winds. J. Geophys. Res., 115, C03017, doi:10.1029/2008JC005203.

    • Search Google Scholar
    • Export Citation
  • Marshall, J., and A. J. G. Nurser, 1992: Fluid dynamics of oceanic thermocline ventilation. J. Phys. Oceanogr., 22, 583595, doi:10.1175/1520-0485(1992)022<0583:FDOOTV>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Marshall, J., C. Hill, L. Perelman, and A. Adcroft, 1997: Hydrostatic, quasi-hydrostatic, and non-hydrostatic ocean modeling. J. Geophys. Res., 102, 57335752, doi:10.1029/96JC02776.

    • Search Google Scholar
    • Export Citation
  • McWilliams, J. C., J. Gula, J. Molemaker, L. Renault, and A. F. Shchepetkin, 2015: Filament frontogenesis by boundary layer turbulence. J. Phys. Oceanogr., 45, 19882005, doi:10.1175/JPO-D-14-0211.1.

    • Search Google Scholar
    • Export Citation
  • Moffat, C., and S. Lentz, 2012: On the response of a buoyancy plume to downwelling-favorable wind stress. J. Phys. Oceanogr., 42, 10831098, doi:10.1175/JPO-D-11-015.1.

    • Search Google Scholar
    • Export Citation
  • Munday, D. R., H. L. Johnson, and D. P. Marshall, 2013: Eddy saturation of equilibrated circumpolar currents. J. Phys. Oceanogr., 43, 507532, doi:10.1175/JPO-D-12-095.1.

    • Search Google Scholar
    • Export Citation
  • Nagai, T., A. Tandon, and D. L. Rudnick, 2006: Two-dimensional ageostrophic secondary circulation at ocean fronts due to vertical mixing and large-scale deformation. J. Geophys. Res., 111, C09038, doi:10.1029/2005JC002964.

    • Search Google Scholar
    • Export Citation
  • Niiler, P. P., 1969: On the Ekman divergence in an oceanic jet. J. Geophys. Res., 74, 70487052, doi:10.1029/JC074i028p07048.

  • Oguz, T., D. Macias, and J. Tintore, 2015: Ageostrophic frontal processes controlling phytoplankton production in the Catalano-Balearic Sea (western Mediterranean). PLOS One, 10, e0129045, doi:10.1371/journal.pone.0129045.

    • Search Google Scholar
    • Export Citation
  • Stern, M. E., 1965: Interaction of a uniform wind stress with a geostrophic vortex. Deep-Sea Res. Oceanogr. Abstr., 12, 355367, doi:10.1016/0011-7471(65)90007-0.

    • Search Google Scholar
    • Export Citation
  • Thomas, L. N., 2005: Destruction of potential vorticity by winds. J. Phys. Oceanogr., 35, 24572466, doi:10.1175/JPO2830.1.

  • Thomas, L. N., and P. B. Rhines, 2002: Nonlinear stratified spin-up. J. Fluid Mech., 473, 211244, doi:10.1017/S0022112002002367.

  • Thomas, L. N., and R. Ferrari, 2008: Friction, frontogenesis, and the stratification of the surface mixed layer. J. Phys. Oceanogr., 38, 25012518, doi:10.1175/2008JPO3797.1.

    • Search Google Scholar
    • Export Citation
  • Thomas, L. N., and J. R. Taylor, 2010: Reduction of the useable wind-work on the general circulation by forced symmetric instability. Geophys. Res. Lett., 37, L18606, doi:10.1029/2010GL044680.

    • Search Google Scholar
    • Export Citation
  • Thompson, L., 2000: Ekman layers and two-dimensional frontogenesis in the upper ocean. J. Geophys. Res., 105, 64376451, doi:10.1029/1999JC900336.

    • Search Google Scholar
    • Export Citation
  • Whitney, M. M., and R. W. Garvine, 2005: Wind influence on a coastal buoyant outflow. J. Geophys. Res., 110, C03014, doi:10.1029/2003JC002261.

    • Search Google Scholar
    • Export Citation
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