Evidence of Energy and Momentum Flux from Swell to Wind

Kimmo K. Kahma Marine Research, Finnish Meteorological Institute, Helsinki, Finland

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Mark A. Donelan Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, Florida

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William M. Drennan Rosenstiel School of Marine and Atmospheric Science, University of Miami, Miami, Florida

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Eugene A. Terray Woods Hole Oceanographic Institution, Woods Hole, Massachusetts

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Abstract

Measurements of pressure near the surface in conditions of wind sea and swell are reported. Swell, or waves that overrun the wind, produces an upward flux of energy and momentum from waves to the wind and corresponding attenuation of the swell waves. The estimates of growth of wind sea are consistent with existing parameterizations. The attenuation of swell in the field is considerably smaller than existing measurements in the laboratory.

Denotes Open Access content.

Corresponding author address: Kimmo Kahma, Kehräkuja 3, FI-00730 Helsinki, Finland. E-mail: kimmo.kahma@kolumbus.fi

Abstract

Measurements of pressure near the surface in conditions of wind sea and swell are reported. Swell, or waves that overrun the wind, produces an upward flux of energy and momentum from waves to the wind and corresponding attenuation of the swell waves. The estimates of growth of wind sea are consistent with existing parameterizations. The attenuation of swell in the field is considerably smaller than existing measurements in the laboratory.

Denotes Open Access content.

Corresponding author address: Kimmo Kahma, Kehräkuja 3, FI-00730 Helsinki, Finland. E-mail: kimmo.kahma@kolumbus.fi
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  • Chen, G., and S. E. Belcher, 2000: Effects of long waves on wind-generated waves. J. Phys. Oceanogr., 30, 22462256, doi:10.1175/1520-0485(2000)030<2246:EOLWOW>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Davidson, K. L., and A. J. Frank, 1973: Wave-related fluctuations in the airflow above natural waves. J. Phys. Oceanogr., 3, 102119, doi:10.1175/1520-0485(1973)003<0102:WRFITA>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Dobson, F. W., 1971: Measurements of atmospheric pressure on wind-generated sea waves. J. Fluid Mech., 48, 91127, doi:10.1017/S0022112071001496.

    • Search Google Scholar
    • Export Citation
  • Donelan, M. A., 1987: The effect of swell on the growth of wind waves. Johns Hopkins APL Tech. Dig., 8, 1823.

  • Donelan, M. A., 1990: Air-sea interaction. Ocean Engineering Science, B. LeMéhauté and D. Hanes, Eds., The Sea—Ideas and Observations on Progress in the Study of the Seas, Vol. 9, John Wiley and Sons, 239–292.

  • Donelan, M. A., 1999: Wind-induced growth and attenuation of laboratory waves. Wind-over-Wave Couplings: Perspectives and Prospects, S. G. Sajjadi, N. H. Thomas, and J. C. R. Hunt, Eds., Oxford University Press, 183–194.

  • Donelan, M. A., W. M. Drennan, and K. B. Katsaros, 1997: The air–sea momentum flux in conditions of mixed wind sea and swell. J. Phys. Oceanogr., 27, 20872099, doi:10.1175/1520-0485(1997)027<2087:TASMFI>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Donelan, M. A., N. Madsen, K. K. Kahma, I. K. Tsanis, and W. M. Drennan, 1999: Apparatus for atmospheric surface layer measurements over waves. J. Atmos. Oceanic Technol., 16, 11721182, doi:10.1175/1520-0426(1999)016<1172:AFASLM>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Donelan, M. A., A. V. Babanin, I. R. Young, and M. L. Banner, 2006: Wave-follower field measurements of the wind-input spectral function part ii: Parameterization of the wind input. J. Phys. Oceanogr., 36, 16721689, doi:10.1175/JPO2933.1.

    • Search Google Scholar
    • Export Citation
  • Drennan, W. M., K. Kahma, and M. Donelan, 1999: On momentum flux and velocity spectra over waves. Bound.-Layer Meteor., 92, 489515, doi:10.1023/A:1002054820455.

    • Search Google Scholar
    • Export Citation
  • Elliott, J. A., 1972a: Instrumentation for measuring static pressure fluctuations within the atmospheric boundary layer. Bound.-Layer Meteor., 2, 476495, doi:10.1007/BF00821550.

    • Search Google Scholar
    • Export Citation
  • Elliott, J. A., 1972b: Microscale pressure fluctuations measured within the lower atmospheric boundary layer. J. Fluid Mech., 53, 351384, doi:10.1017/S0022112072000199.

    • Search Google Scholar
    • Export Citation
  • Geernaert, G. L., K. L. Davidson, S. E. Larsen, and T. Mikkelson, 1988: Wind stress measurements during the tower ocean wave and radar dependence experiment. J. Geophys. Res., 93, 13 91313 923, doi:10.1029/JC093iC11p13913.

    • Search Google Scholar
    • Export Citation
  • Grachev, A. A., and C. W. Fairall, 2001: Upward momentum transfer in the marine boundary layer. J. Phys. Oceanogr., 31, 16981711, doi:10.1175/1520-0485(2001)031<1698:UMTITM>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Hanley, K. E., and S. E. Belcher, 2008: Wave-driven wind jets in the marine atmospheric boundary layer. J. Atmos. Sci., 65, 26462660, doi:10.1175/2007JAS2562.1.

    • Search Google Scholar
    • Export Citation
  • Harris, D. L., 1966: The wave-driven wind. J. Atmos. Sci., 23, 688693, doi:10.1175/1520-0469(1966)023<0688:TWDW>2.0.CO;2.

  • Hasselmann, D., and J. Bösenberg, 1991: Field measurements of wave-induced pressure over wind-sea and swell. J. Fluid Mech., 230, 391428, doi:10.1017/S0022112091000848.

    • Search Google Scholar
    • Export Citation
  • Högström, U., A. S. Smedman, E. Sahlée, W. M. Drennan, K. K. Kahma, H. Pettersson, and F. Zhang, 2009: The atmospheric boundary layer during swell: A field study and interpretation of the turbulent kinetic energy budget for high wave ages. J. Atmos. Sci., 66, 27642779, doi:10.1175/2009JAS2973.1.

    • Search Google Scholar
    • Export Citation
  • Högström, U., A. Rutgersson, E. Sahlée, A. S. Smedman, T. S. Hristov, W. M. Drennan, and K. K. Kahma, 2013: Air-sea interaction features in the Baltic Sea and at a pacific trade wind site: An intercomparison study. Bound.-Layer Meteor., 147, 139163, doi:10.1007/s10546-012-9776-8.

    • Search Google Scholar
    • Export Citation
  • Högström, U., E. Sahlée, A. S. Smedman, A. Rutgersson, E. Nilsson, K. K. Kahma, and W. M. Drennan, 2015: Surface stress over the ocean in swell-dominated conditions during moderate winds. J. Atmos. Sci., 72, 47774795, doi:10.1175/JAS-D-15-0139.1.

    • Search Google Scholar
    • Export Citation
  • Hristov, T. S., C. Friehe, and S. Miller, 1998: Wave-coherent fields in air flow over ocean waves: identification of cooperative behavior buried in turbulence. Phys. Rev. Lett., 81, 52455248, doi:10.1103/PhysRevLett.81.5245.

    • Search Google Scholar
    • Export Citation
  • Hsiao, S. V., and O. H. Shemdin, 1983: Measurements of wind velocity and pressure with a wave follower during Marsen. J. Geophys. Res., 88, 98419849, doi:10.1029/JC088iC14p09841.

    • Search Google Scholar
    • Export Citation
  • Kahma, K. K., 1981: A study of the growth of the wave spectrum with fetch. J. Phys. Oceanogr., 11, 15031515, doi:10.1175/1520-0485(1981)011<1503:ASOTGO>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Kudryavtsev, V. N., and V. K. Makin, 2004: Impact of swell on the marine atmospheric boundary layer. J. Phys. Oceanogr., 34, 934949, doi:10.1175/1520-0485(2004)034<0934:IOSOTM>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Makin, V. K., H. Branger, W. L. Peirson, and J. P. Giovanangeli, 2007: Stress above wind-plus-paddle waves: Modeling of a laboratory experiment. J. Phys. Oceanogr., 37, 28242837, doi:10.1175/2007JPO3550.1.

    • Search Google Scholar
    • Export Citation
  • Makova, V. I., 1975: Features of the dynamics of turbulence in the marine atmospheric surface layer at various stages in the development of waves. Izv., Atmos. Ocean. Phys., 11, 297307.

    • Search Google Scholar
    • Export Citation
  • Miles, J. W., 1957: On the generation of waves by shear flows. J. Fluid Mech., 3, 185204, doi:10.1017/S0022112057000567.

  • Mitsuyasu, H., 1966: Interactions between water waves and wind (1). Rep. Inst. Appl. Mech. Kyushu Univ., 14, 6788.

  • Peirson, W. L., A. W. Garcia, and S. E. Pells, 2003: Water wave attenuation due to opposing wind. J. Fluid Mech., 487, 345365, doi:10.1017/S0022112003004750.

    • Search Google Scholar
    • Export Citation
  • Phillips, O. M., and M. L. Banner, 1974: Wave breaking in the presence of wind drift and swell. J. Fluid Mech., 66, 625640, doi:10.1017/S0022112074000413.

    • Search Google Scholar
    • Export Citation
  • Plant, W. J., 1982: A relationship between stress and wave slope. J. Geophys. Res., 87, 19611967, doi:10.1029/JC087iC03p01961.

  • Rieder, K. F., 1997: Analysis of sea-surface drag parameterizations in open ocean conditions. Bound.-Layer Meteor., 82, 355377, doi:10.1023/A:1000289415922.

    • Search Google Scholar
    • Export Citation
  • Semedo, A., O. Saetra, A. Rutgersson, K. K. Kahma, and H. Pettersson, 2009: Wave induced wind in the marine boundary layer. J. Atmos. Sci., 66, 22562271, doi:10.1175/2009JAS3018.1.

    • Search Google Scholar
    • Export Citation
  • Smedman, A. S., U. Högström, H. Bergström, A. Rutgersson, K. K. Kahma, and H. Pettersson, 1999: A case study of air-sea interaction during swell conditions. J. Geophys. Res., 104, 25 83325 852, doi:10.1029/1999JC900213.

    • Search Google Scholar
    • Export Citation
  • Smedman, A. S., X. Guo Larsén, U. Högström, K. K. Kahma, and H. Pettersson, 2003: Effect of sea state on the momentum exchange over the sea during neutral conditions. J. Geophys. Res., 108, 3367, doi:10.1029/2002JC001526.

    • Search Google Scholar
    • Export Citation
  • Smedman, A. S., U. Högström, E. Sahlée, W. M. Drennan, K. K. Kahma, H. Pettersson, and F. Zhang, 2009: Observational study of marine atmospheric boundary layer characteristics during swell. J. Atmos. Sci., 66, 27472763, doi:10.1175/2009JAS2952.1.

    • Search Google Scholar
    • Export Citation
  • Snyder, R. L., 1974: A field study of wave-induced pressure fluctuations above surface gravity waves. J. Mar. Res., 32, 497531.

  • Snyder, R. L., F. W. Dobson, J. A. Elliot, and R. B. Long, 1981: Array measurements of atmospheric pressure fluctuations above gravity waves. J. Fluid Mech., 102, 159, doi:10.1017/S0022112081002528.

    • Search Google Scholar
    • Export Citation
  • Sullivan, P. P., J. B. Edson, T. Hristov, and J. C. McWilliams, 2008: Large eddy simulations and observations of atmospheric marine boundary layers above non-equilibrium surface waves. J. Atmos. Sci., 65, 12251245, doi:10.1175/2007JAS2427.1.

    • Search Google Scholar
    • Export Citation
  • Terray, E. A., M. A. Donelan, Y. C. Agrawal, W. M. Drennan, K. K. Kahma, A. J. Williams III, P. A. Hwang, and S. A. Kitaigorodskii, 1996: Estimates of kinetic energy dissipation under breaking waves. J. Phys. Oceanogr., 26, 792807, doi:10.1175/1520-0485(1996)026<0792:EOKEDU>2.0.CO;2.

    • Search Google Scholar
    • Export Citation
  • Volkov, Y. A., 1970: Turbulent flux of momentum and heat in the atmospheric surface layer over a disturbed sea-surface. Izv., Atmos. Ocean. Phys., 6, 770774.

    • Search Google Scholar
    • Export Citation
  • Young, I. R., and R. J. Sobey, 1985: Measurements of the wind-wave energy flux in an opposing wind. J. Fluid Mech., 151, 427442, doi:10.1017/S0022112085001033.

    • Search Google Scholar
    • Export Citation
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