Sea Surface Gravity Wave-wind Interaction in the Marine Atmospheric Boundary Layer

In this study, we investigate the turbulence structure over idealized wind-generated surface gravity waves with varying wave age using a wave-modified one-dimensional boundary layer model. To prescribe the shape of the water wave and the associated orbital velocities, we employ an empirical expression for the wave energy spectrum without assigning a prognostic equation for modelling wave evolution under the action of wind. The key element in this model is the the work done by the wave-induced momentum flux on the atmosphere in the presence of waves. This is incorporated into the airflow using an exponential decay function. Finally, we conduct a series of numerical experiments to identify wave effects on the airflow over a wavy moving interface as a function of wave age, and to check the skill of the present model in capturing wave-induced processes in the marine atmospheric boundary layer (MABL). The results obtained confirm again the significant role of wave-induced processes in influencing the MABL, for example, in modifying the wind profile. Meanwhile, it is shown that the modified one-dimensional model is sensitive to wave parameterizations and the wave energy spectrum. However, a number of uncertainties remain for further investigation, such as the choice of wave energy spectrum, wave forcing parametrization, and surface boundary conditions for momentum and energy. c � 2014 The Authors. Published by Elsevier Ltd. Selection and peer-review under responsibility of SINTEF Energi AS.

[1]  J. Wright,et al.  Wind-generated gravity-capillary waves: laboratory measurements of temporal growth rates using microwave backscatter , 1975, Journal of Fluid Mechanics.

[2]  P. Janssen The Interaction of Ocean Waves and Wind , 2004 .

[3]  P. K. Taylor,et al.  Wind stress measurements from the open ocean , 1996 .

[4]  R. Long,et al.  Array measurements of atmospheric pressure fluctuations above surface gravity waves , 1981, Journal of Fluid Mechanics.

[5]  V. Kudryavtsev,et al.  Impact of Swell on the Marine Atmospheric Boundary Layer , 2004 .

[6]  S. Belcher,et al.  Turbulent shear flow over slowly moving waves , 1993, Journal of Fluid Mechanics.

[7]  I. Fer,et al.  Turbulence structure in the upper ocean: a comparative study of observations and modeling , 2014, Ocean Dynamics.

[8]  A. Babanin,et al.  Effects of wind trend and gustiness on the sea drag: Lake George study , 2008 .

[9]  D. Chalikov,et al.  Coupled Numerical Modelling of Wind and Waves and the Theory of the Wave Boundary Layer , 2011 .

[10]  Thorvaldur Thordarson,et al.  Distal deposition of tephra from the Eyjafjallajökull 2010 summit eruption , 2012 .

[11]  David W. Wang,et al.  Observation-Consistent Input and Whitecapping Dissipation in a Model for Wind-Generated Surface Waves: Description and Simple Calculations , 2012 .

[12]  O. Shemdin,et al.  Direct measurement of aerodynamic pressure above a simple progressive gravity wave , 1967, Journal of Fluid Mechanics.

[13]  J. N. Moum,et al.  Surface Wave–Turbulence Interactions. Scaling ϵ(z) near the Sea Surface , 1995 .

[14]  R. Street,et al.  Experimental study of nonlinear wave—wave interaction and white-cap dissipation of wind-generated waves , 1979 .

[15]  W. Plant A relationship between wind stress and wave slope , 1982 .

[16]  I. Young,et al.  Two-phase behaviour of the spectral dissipation of wind waves , 2005 .

[17]  E. Rogers,et al.  Semiempirical Dissipation Source Functions for Ocean Waves. Part I: Definition, Calibration, and Validation , 2009, 0907.4240.

[18]  Peter A. E. M. Janssen,et al.  Wave-induced stress and the drag of air flow over sea waves , 1989 .

[19]  R. Street,et al.  The Energy Transfer Due to Air-Input, Non-Linear Wave-Wave Interaction and White-Cap Dissipation Associated with Wind-Generated Waves. , 1977 .

[20]  Kimmo K. Kahma,et al.  Wave-Induced Wind in the Marine Boundary Layer , 2009 .

[21]  Hendrik L. Tolman,et al.  Source Terms in a Third-Generation Wind Wave Model , 1996 .

[22]  Alastair D. Jenkins,et al.  A Quasi-linear Eddy-Viscosity Model for the Flux of Energy and Momentum to Wind Waves Using Conservation-Law Equations in a Curvilinear Coordinate System , 1992 .

[23]  J. Miles On the generation of surface waves by shear flows , 1957, Journal of Fluid Mechanics.

[24]  M. Donelan,et al.  Nonstationary Analysis of the Directional Properties of Propagating Waves , 1996 .

[25]  D. L. Harris,et al.  The Wave-Driven Wind , 1966 .

[26]  James C. McWilliams,et al.  Simulation of turbulent flow over idealized water waves , 2000, Journal of Fluid Mechanics.