Abstract
There have been several claims, either explicit or by implication, either based on experimental evidence or on theoretical reasoning, that the wind stress is modified by the stage of development of the wind sea. However, the overall evidence is weak, because theories are still incomplete and because it is questionable whether the sea-state effect, which is of the order of 10%, can be separated from experimental noise, which is of the order of 20%.
In this paper a rigorous statistical analysis of HEXMAX data is pursued in order to establish the significance of sea-state effects. It appears that the enhanced drag, especially at high winds, which has already been established by previous analyses, cannot be attributed to the effect of young waves. The analysis provides no clues for the actual mechanism, which could be related to breaking or shoaling waves.
As the effect of sea-state on wind stress is much smaller than the experimental noise level, it is hard to detect. Nevertheless, HEXMAX seems to contain a wave effect that is at the edge of statistical significance. It is, however, not the wave age itself that influences the drag, but a parameter involving wave height.
Because the HEXMAX evidence is only indicative, we conclude that the issue set out in this paper cannot be answered on the basis of the HEXMAX data alone. It is recommended that error analyses are also carried out for other relevant observational data sets and that new measurements with suppressed noise will be taken up.
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References
Blanc, T. V.: 1985, 'Variation of Bulk-Derived Surface Flux, Stability, and Roughness Results Due to the Use of Different Transfer Coefficient Schemes', J. Phys. Oceanog. 15, 650–669.
Charnock, H.: 1955, 'Wind Stress on a Water Surface', Quart. J. Roy. Meteorol. Soc. 81, 639–640.
Donelan, M. A. and Pierson, W. J.: 1987, 'Radar Scattering and Equilibrium Ranges in Wind-Generated Waves with Application to Scatterometry', J. Geophys. Res. 92, 4971–5029.
Donelan, M. A.: 1990, 'Air-Sea Interaction', in B. LeMéhauté and D. M. Hanes (eds.), The Sea, Vol. 9A, Interscience-J. Wiley & Sons, New York, pp. 239–292.
Donelan, M. A., Dobson, F.W., Smith, S. D., and Anderson, R. J.: 1993, 'On the Dependence of Sea Surface Roughness on Wave Development', J. Phys. Oceanog. 23, 2143–2149.
Draper, N. R. and Smith, H.: 1981, Applied Regression Analysis, 2nd ed. John Wiley and Sons, New York, 709 pp.
Garratt, J. R.: 1977, 'Review of Drag Coefficients over oceans and Continents', Mon. Wea. Rev. 105, 915–929.
Geernaert, G. L., Larsen, S. E., and Hansen, F.: 1987, 'Measurements of the Wind Stress, Heat Flux, and Turbulence Intensity during Storm Conditions over the North Sea', J. Geophys. Res. 92, 13,127–13,139.
Geernaert, G. L.: 1990, 'Bulk Parametrisations for theWind Stress and Heat Flux', in G. L. Geernaert and. J. Plant (eds.), Surface Waves and Fluxes. Volume 1-Current Theory}, Kluwer Academic Publishers, Dordrecht}, pp. 91–
Hasselmann, K., Barnett, T. P., Bouws, E., Carlson, H., Cartwright, D. E., Enke, K., Ewing, J. A., Gienapp, H., Hasselmann, D. E., Kruseman, P., Meerburg, A., M¨uller, P., Olbers, D. J., Richter, K., Sell, W., and Walden, H.: 1973, 'Measurements of Wind-Wave Growth and Swell Decay during the Joint North SeaWave Project (JONSWAP)', Dtsch. Hydrogr. Z. Suppl. A8(12), 95 pp.
Hogg, R. V. and Craig, A. T.: 1978, Introduction to Mathematical Statistics, 4th ed., Macmillan Publishing Co., New York, 438 pp.
Janssen, J. A. M.: 1995, Internal KNMI Communication, OO-95-09.
Janssen, P. A. E. M.: 1989, 'Wave-Induced Stress and the Drag of Air Flow over SeaWaves', J. Phys. Oceanog. 19, 745–754.
Janssen, P. A.E. M.: 1994, 'Results with a Coupled WindWave Model', ECMWF Res. Dept. Techn. Report 71, ECMWF, Reading, 58 pp.
Kaimal, J. C., and Finnigan, J. J.: 1994, Atmospheric Boundary Layer Flows: Their Structure and Measurement, Oxford University Press, New York, 289 pp.
Katsaros, K. B., Smith, S. D., and Oost, W. A.: 1987, 'HEXOS-Humidity Exchange Over the Sea, a Program for Research onWater-Vapor and Droplet Fluxes from Sea to Air at Moderate to High Wind Speeds', Bull. Amer. Meteorol. Soc. 68, 466–476.
Kenny, B. C.: 1981, 'Beware of Spurious Correlations!', Water Resour. Res. 18(4), 1041–1048.
Kitaigorodskii, S. A.: 1970, The Physics of Air-Sea Interaction, Hydrometeorological Press, Leningrad, 284 pp.; English translation, 1973, Israel Program for Scientific Translations, Jerusalem, 237 pp. (available as TT 72-500062 fromU.S.National Technical Information Service, Springfield, VA 22151, U.S.A.).
Kitaigorodskii, S. A. and Volkov, Y. A.: 1965, 'On the Roughness Parameter of the Sea Surface and the Calculation of Momentum Flux in the Near-Water Layer of the Atmosphere', Izv. Atmos. Oceanic Phys. 1, 973–988.
Komen, G. J., Cavaleri, L., Donelan, M., Hasselmann, K., Hasselmann, S., and Janssen, P. A. E. M. (eds.): 1994, Dynamics and Modelling of Ocean Waves, Cambridge University Press, 532 pp.
Komen, G. J., Janssen, P. A. E. M., Makin, V., Mastenbroek K., and Oost, W. A.: 1996, 'On the Sea State Dependence of the Charnock Parameter', The Global Atmosphere and Ocean System, Gordon and Breach (submitted).
Lumley, J. L. and Panovsky, H. A.: 1964, Structure of Atmospheric Turbulence, Wiley Interscience, New York, 239 pp.
Maat, N., Kraan, C., and Oost, W. A.: 1991, 'The Roughness of Wind Waves', Boundary-Layer Meteorol. 54, 89–103.
Makin, V. K., Kudryavtsev, V. N., and Mastenbroek, C.: 1995, 'Drag of the Sea Surface', Boundary-Layer Meteorol. 73, 159–182.
Monbaliu, J.: 1994, 'On the Use of the Donelan Wave Spectral Parameter as a Measure for the Roughness of WindWaves', Boundary-Layer Meteorol. 67, 277–291.
Nordeng, T. E.: 1991, 'On theWave Age Dependent Drag Coefficient and Roughness Length at Sea', J. Geophys. Res. 96, 7167–7174.
Oost, W. A.: 1995, Internal KNMI discussion paper, unpublished.
Perrie, W. and Toulany, B.: 1990, 'Fetch Relations for Wind-Generated Waves as a Function of Wind-Stress Scaling', J. Phys. Oceanog. 20, 1666–1681.
Pierson, W. J. and Moskowitz, L.: 1964, 'A Proposed Spectral form for Fully Developped Wind Sea Based on the Similarity Theory of S. A. Kitaigorodskii', J. Geophys. Res. 69, 5181–5190.
Smith, S. D.: 1980, 'Wind Stress and Heat Flux over the Ocean in Gale Force Winds', J. Phys. Oceanog. 10, 709–726.
Smith, S. D.: 1988, 'Coefficients for Sea Surface Wind Stress', J. Geophys. Res. 93, 15467–15472.
Smith, S. D., Anderson, R. J., Oost, W. A., Maat, N., DeCosmo, J., Katsaros, K. B., Davidson, K. L., Bumke, K., Hasse, L., and Chadwick, H. M.: 1992, 'Sea Surface Wind Stress and Drag Coefficients: The HEXOS Results', Boundary-Layer Meteorol. 60, 109-142.
Sreenivasan, K. R., Chambers, A. J., and Antonia, R. A.: 1978, 'Accuracy of Moments of Velocity and Scalar Fluctuations in the Atmospheric Surface Layer', Boundary-Layer Meteorol. 14, 341–359.
Steward, R.W.: 1974, 'The Air-SeaMomentum Exchange', Boundary-Layer Meteorol. 6, 151–167.
Van Halsema, D., Jähne, B., Oost, W. A., Calkoen, C. J., and Snoeij, P.: 1989, 'First Results of the Viers-1 Experiment', in G. J. Komen and W. A. Oost (eds.), Radar Scattering from Modulated Wind Waves, Kluwer Academic Publishers, Dordrecht, 273 pp.
Weisberg, S.: 1985, Applied Linear Regression, 2nd ed., John Wiley and Sons, New York, 324 pp.
Wu, J.: 1980, 'Wind Stress Coefficients over Sea Surface near Neutral Conditions-A Revisit', J. Phys. Oceanog. 10, 727–740.
Yelland, M, and Taylor, P. K.: 1996, 'Wind Stress Measurements from the Open Ocean', J. Phys. Oceanog. 26, 541–558.
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JANSSEN, J.A.M. DOES WIND STRESS DEPEND ON SEA-STATE OR NOT? – A STATISTICAL ERROR ANALYSIS OF HEXMAX DATA. Boundary-Layer Meteorology 83, 479–503 (1997). https://doi.org/10.1023/A:1000336814021
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DOI: https://doi.org/10.1023/A:1000336814021