Abstract
Estimates of the geostrophic drag coefficient and the Rossby similarity functions, A and B obtained from data collected by an instrumented aircraft over the sea are presented. The average value of the geostrophic drag coefficient is 0.027 and is independent of the geostrophic windspeed. The dependence of the similarity functions A and B on boundary-layer parameters is investigated. The function A is found to depend on baroclinicity parameters, while B depends on the parameter u */fh (where u * is the surface friction velocity, f is the Coriolis parameter, and h is the boundary-layer depth). Using the geostrophic drag coefficient found here and the results of surface drag coefficient studies, a relationship between geostrophic windspeed and surface windspeed is obtained which shows good agreement with empirical data.
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References
Arya, S. P. S.: 1975, ‘Geostrophic Drag and Heat Transfer Relations for the Atmospheric Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 101, 147–161.
Arya, S. P. S.: 1977, ‘Suggested Revisions to Certain Boundary Layer Parameterization Schemes Used in Atmospheric Circulation Models’, Mon. Weather Rev. 105, 215–226.
Arya, S. P. S.: 1978, ‘Comparative Effects of Stability, Baroclinity and the Scale Height Ratio on Drag Laws for the Atmospheric Boundary Layer’, J. Atmos. Sci. 35, 40–46.
Arya, S. P. S. and Wyngaard, J. C.: 1975, ‘Effect of Baroclinicity on Wind Profiles and the Geostrophic Drag Law for the Convective Planetary Boundary Layer’, J. Atmos. Sci. 32, 767–778.
Blackadar, A. H. and Tennekes, H.: 1968, ‘Asymptotic Similarity in Neutral Barotropic Atmospheric Boundary Layers’, J. Atmos. Sci. 25, 1015–1020.
Brost, R. A., Wyngaard, J. C., and Lenschow, D. H.: 1982, ‘Marine Stratocumulus Layers, Part II: Turbulence Budgets’, J. Atmos. Sci. 39, 818–836.
Clarke, R. H. and Hess, G. D.: 1974, ‘Geostrophic Departure and the Functions A and B of Rossby Number Similarity Theory’, Boundary-Layer Meteorol. 7, 267–287.
Deacon, E. H.: 1973, ‘Geostrophic Drag Coefficients’, Boundary-Layer Meteorol. 5, 321–340.
Findlater, J., Harrower, T. N. S., Howkins, G. A., and Wright, H. L.: 1966, Surface and 900mb Wind Relationships, Meteorological Office, Scientific Paper, No. 23.
Garratt, J. R.: 1977, ‘Review of Drag Coefficients over Oceans and Continents’, Mon. Weather Rev. 105, 915–929.
Grant, A. L. M.: 1986, ‘Observations of Boundary Layer Structure During the 1981 KONTUR Experiment’, Quart. J. Roy. Meteorol. Soc. 112, 825–841.
Hasse, L.: 1974, ‘On the Surface to Geostrophic Wind Relationship at Sea and the Stability Dependence of the Resistance Law’, Contrib. Atmos. Phys. 47, 45–55.
Hasse, L.: 1976, ‘A Resistance Law Hypothesis for the Non-Stationary Advective Planetary Boundary Layer’, Boundary-Layer Meteorol. 10, 393–407.
Hasse, L. and Dunckel, M.: 1974, ‘Direct Determination of Geostrophic Drag Coefficients over the Sea’, Boundary-Layer Meteorol. 7, 323–329.
Hasse, L. and Wagner, V.: 1971, ‘On the Relationship between Geostrophic and Surface Wind at Sea’, Mon. Weather Rev. 99, 255–260.
Lettau, H. H.: 1957, ‘Windprofil, innere Reibung und Energieumatz in den uteren 500 m uber dem Meer’, Beitr. Phys. Atm. 30, 78–96.
Luthardt, H. and Hasse, L.: 1981, ‘On the Relationship between Surface and Geostrophic Wind in the Region of the German Bight’, Contrib. Atmos. Phys. 54, 222–237.
Mason, P. J. and Thompson, D. J.: 1986, ‘Large Eddy Simulation of the Neutral Static Stability Planetary Boundary Layer’, Quart. J. Roy. Meteorol. Soc., in press.
Melgarejo, J. W. and Deardorff, J. W.: 1974, ‘Stability Functions for the Boundary Layer Resistance Laws Based upon Observed Boundary Layer Heights’, J. Atmos. Sci. 31, 1324–1333.
Nicholls, S.: 1978, ‘Measurements of Turbulence by an Instrumented Aircraft in a Convective Atmospheric Boundary Layer over the Sea’, Quart. J. R. Meteorol. Soc. 108, 810–823.
Nicholls, S.: 1982, ‘An Observational Study of the Marine Atmospheric Boundary Layer’, Ph.D. Thesis, University of Southampton.
Nicholls, S., Brummer, B., Fiedler, F., Grant, A., Hauf, T., Jenkins, J., Readings, C., and Shaw, W.: 1983, ‘The Structure of the Turbulent Atmospheric Boundary Layer’, Phil. Trans. Roy. Soc. London A308, 291–309.
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Grant, A.L.M., Whiteford, R. Aircraft estimates of the geostrophic drag coefficient and the rossby similarity functions A and B over the sea. Boundary-Layer Meteorol 39, 219–231 (1987). https://doi.org/10.1007/BF00116119
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DOI: https://doi.org/10.1007/BF00116119