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Rapid-distortion turbulence models in the theory of surface-wave generation

Published online by Cambridge University Press:  26 April 2006

Cornelis A. Van Duin
Cornelis A. Van Duin
Affiliation:
Department of Oceanography, Royal Netherlands Meteorological Institute, 3730 AE De Bilt, The Netherlands
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Abstract

Turbulent air flow over a surface gravity wave of small amplitude is studied analytically on the basis of a family of rapid-distortion turbulence models. Results for the wave growth rate do not depend sensitively on the specific choice of these models. However, the agreement with results based on a so-called truncated mixing-length model (Belcher & Hunt 1993) is poor, despite physical similarity of the models. The present analysis also shows that the use of turbulence models based on rapid-distortion theory leads to significant underestimation of observed growth rates of high-frequency waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 329 , 25 December 1996 , pp. 147 - 153
Copyright
© 1996 Cambridge University Press

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References

Belcher, S. E. & Hunt, J. C. R. 1993 Turbulent shear flow over slowly moving waves. J. Fluid Mech. 251, 109–148 (referred to herein as BH).Google Scholar
Britter, R. E., Hunt, J. C. R. & Richards, K. J. 1981 Air flow over a 2-d hill: studies of velocity speed-up, roughness effects and turbulence. Q. J. R. Met. Soc. 107, 91–110.Google Scholar
Duin, C. A. VAN 1994 An asymptotic theory for the generation of nonlinear surface gravity waves by turbulent air flow. Internal Memorandum, KNMI, De Bilt.
Duin, C. A. van 1996 An asymptotic theory for the generation of nonlinear surface gravity waves by turbulent air flow. J. Fluid Mech. 320, 287–304 (referred to herein as I).Google Scholar
Duin, C. A. van & Janssen, P. A. E. M. 1992 An analytic model of the generation of surface gravity waves by turbulent air flow. J. Fluid Mech. 236, 197–215.Google Scholar
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537–566.Google Scholar
Mastenbroek, C., Makin, V. K., Garat, M. H. & Giovanangeli, J. P. 1996 Experimental evidence of the rapid distortion of turbulence in the air flow over water waves. J. Fluid Mech. 318, 273–302.Google Scholar
Miles, J. W. 1957 On the generation of surface waves by shear flows. J. Fluid Mech. 3, 185–204.Google Scholar
Miles, J. W. 1993 Surface-wave generation revisited. J. Fluid Mech. 256, 427–441.Google Scholar
Miles, J. W. 1996 Surface-wave generation: a viscoelastic model. J. Fluid Mech. 322, 131–145.Google Scholar
Plant, W. J. 1982 A relationship between wind stress and wave slope. J. Geophys. Res. 87, 1961–1967.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.