Signatures of Air–Wave Interactions Over a Large Lake

The air–water exchange of momentum and scalars (temperature and water vapour) is investigated using the Lake-Atmosphere Turbulent EXchange (LATEX) dataset. The wind waves and swell are found to affect the coupling between the water surface and the air differently. The surface-stress vector aligns with the wind velocity in the presence of wind waves, but a wide range of stress–wind misalignment angles is observed during swell. The momentum transport efficiency decreases when significant stress–wind misalignment is present, suggesting a strong influence of surface wave properties on surface drag. Based on this improved understanding of the role of wave–wind misalignment, a new relative wind speed for surface-layer similarity formulations is proposed and tested using the data. The new expression yields a value of the von Kármán constant ($$\kappa $$κ) of 0.38, compared to 0.36 when using the absolute wind speed, as well as reduced data fitting errors. Finally, the ratios of aerodynamic to scalar roughness lengths are computed and various existing models in the literature are tested using least-square fitting to the observed ratios. The tests are able to discriminate between the performance of various models; however, they also indicate that more investigations are required to understand the physics of scalar exchanges over waves.

[1]  P. Guest,et al.  Evaluations of the von Kármán constant in the atmospheric surface layer , 2006, Journal of Fluid Mechanics.

[2]  W. Pierson,et al.  A proposed spectral form for fully developed wind seas based on the similarity theory of S , 1964 .

[3]  David W. Wang,et al.  A study of wave effects on wind stress over the ocean in a fetch‐limited case , 2005 .

[4]  Karl F. Rieder ANALYSIS OF SEA-SURFACE DRAG PARAMETERIZATIONS IN OPEN OCEAN CONDITIONS , 1997 .

[5]  Sarah Rothstein,et al.  Waves In Fluids , 2016 .

[6]  M. Donelan,et al.  On the Dependence of Sea Surface Roughness on Wave Development , 1993 .

[7]  O. Phillips The dynamics of the upper ocean , 1966 .

[8]  Charles Meneveau,et al.  Subgrid-Scale Dynamics of Water Vapour, Heat, and Momentum over a Lake , 2008 .

[9]  R. Stull An Introduction to Boundary Layer Meteorology , 1988 .

[10]  M. Parlange,et al.  The Effect of Scale on the Applicability of Taylor’s Frozen Turbulence Hypothesis in the Atmospheric Boundary Layer , 2012, Boundary-Layer Meteorology.

[11]  C. Fairall,et al.  Wind Stress Vector over Ocean Waves , 2003 .

[12]  Hans Bergström,et al.  A case study of air‐sea interaction during swell conditions , 1999 .

[13]  V. Kudryavtsev,et al.  The Impact Of Air-Flow Separation On The Drag Of The Sea Surface , 2001 .

[14]  William M. Drennan,et al.  Air–Sea Interaction Features in the Baltic Sea and at a Pacific Trade-Wind Site: An Inter-comparison Study , 2013, Boundary-Layer Meteorology.

[15]  J. McWilliams,et al.  Dynamics of Winds and Currents Coupled to Surface Waves , 2010 .

[16]  James C. McWilliams,et al.  Large-Eddy Simulations and Observations of Atmospheric Marine Boundary Layers above Nonequilibrium Surface Waves , 2008 .

[17]  N. Sheriff,et al.  Heat-transfer and friction properties of surfaces with discrete roughnesses , 1966 .

[18]  A. Yaglom,et al.  Mean fields and fluctuation moments in unstably stratified turbulent boundary layers , 1990, Journal of Fluid Mechanics.

[19]  Charles Meneveau,et al.  Large‐eddy simulation of neutral atmospheric boundary layer flow over heterogeneous surfaces: Blending height and effective surface roughness , 2004 .

[20]  William M. Drennan,et al.  Observational Study of Marine Atmospheric Boundary Layer Characteristics during Swell , 2009 .

[21]  Wilfried Brutsaert,et al.  Stability correction functions for the mean wind speed and temperature in the unstable surface layer , 1992 .

[22]  Vladimir Makin,et al.  A Note on a Parameterization of the Sea Drag , 2003 .

[23]  John C. Wyngaard,et al.  Local Free Convection, Similarity, and the Budgets of Shear Stress and Heat Flux , 1971 .

[24]  Stephen E. Belcher,et al.  A Global Climatology of Wind–Wave Interaction , 2010 .

[25]  Jerome A. Smith,et al.  Removing wave effects from the wind stress vector , 1998 .

[26]  Mark A. Donelan,et al.  The Air–Sea Momentum Flux in Conditions of Wind Sea and Swell , 1997 .

[27]  C. Fairall,et al.  Upward Momentum Transfer in the Marine Boundary Layer , 2001 .

[28]  William M. Drennan,et al.  The Atmospheric Boundary Layer during Swell: A Field Study and Interpretation of the Turbulent Kinetic Energy Budget for High Wave Ages , 2009 .

[29]  T. E. Nordeng On the wave age dependent drag coefficient and roughness length at sea , 1991 .

[30]  H. Graber,et al.  On the wave age dependence of wind stress over pure wind seas , 2003 .

[31]  A. Smedman,et al.  Comments on “A Global Climatology of Wind–Wave Interaction” , 2011 .

[32]  John L. Lumley,et al.  The structure of atmospheric turbulence , 1964 .

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

[34]  Warren. Viessman Introduction to hydrology , 1972 .

[35]  C. Fairall,et al.  NOTES AND CORRESPONDECEScaling Reasoning and Field Data on the Sea Surface Roughness Lengths for Scalars , 2001 .

[36]  R. O. Weber,et al.  Remarks on the Definition and Estimation of Friction Velocity , 1999 .

[37]  G. Geernaert,et al.  Directional attributes of the ocean surface wind stress vector , 1993 .

[38]  B. Hicks,et al.  Momentum, heat and water vapour transfer to and from natural and artificial surfaces , 1973 .

[39]  Wilfried Brutsaert,et al.  A quasi-similarity between wind waves and solid surfaces in their roughness characteristics , 1986 .

[40]  W. Brutsaert Land‐surface water vapor and sensible heat flux: Spatial variability, homogeneity, and measurement scales , 1998 .

[41]  M. Broeke,et al.  Momentum and scalar transfer coefficients over aerodynamically smooth antarctic surfaces , 1995 .

[42]  Zhong‐Kuo Zhao,et al.  Typhoon air‐sea drag coefficient in coastal regions , 2015 .

[43]  H. Charnock Wind stress on a water surface , 1955 .

[44]  M. Bernardes,et al.  The Alignment of the Mean Wind and Stress Vectors in the Unstable Surface Layer , 2009 .

[45]  K. Katsaros,et al.  Wind stress and surface waves observed on Lake Washington , 1999 .

[46]  Wilfried Brutsaert,et al.  A theory for local evaporation (or heat transfer) from rough and smooth surfaces at ground level , 1975 .

[47]  E. K. Webb,et al.  Correction of flux measurements for density effects due to heat and water vapour transfer , 1980 .

[48]  R. Weller,et al.  Observed directional characteristics of the wind, wind stress, and surface waves on the open ocean , 1994 .

[49]  S. Belcher,et al.  Wind forcing in the equilibrium range of wind-wave spectra , 2002, Journal of Fluid Mechanics.

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

[51]  Stephen E. Belcher,et al.  TURBULENT FLOW OVER HILLS AND WAVES , 1998 .

[52]  P. R. Owen,et al.  Heat transfer across rough surfaces , 1963, Journal of Fluid Mechanics.

[53]  M. Parlange,et al.  Estimation of wet surface evaporation from sensible heat flux measurements , 2009 .

[54]  Anna Rutgersson,et al.  Use of conventional stability parameters during swell , 2001 .

[55]  Mark A. Donelan,et al.  On momentum flux and velocity spectra over waves , 1999 .

[56]  M. Chamecki,et al.  Estimating the Random Error in Eddy-Covariance Based Fluxes and Other Turbulence Statistics: The Filtering Method , 2012, Boundary-Layer Meteorology.

[57]  Leo H. Holthuijsen,et al.  Waves in Oceanic and Coastal Waters , 2007 .

[58]  Lian Shen,et al.  Dynamic modelling of sea-surface roughness for large-eddy simulation of wind over ocean wavefield , 2013, Journal of Fluid Mechanics.

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

[60]  A. Smedman,et al.  Surface Stress over the Ocean in Swell-Dominated Conditions during Moderate Winds , 2015 .

[61]  E. Bou‐Zeid,et al.  Coherent Structures and the Dissimilarity of Turbulent Transport of Momentum and Scalars in the Unstable Atmospheric Surface Layer , 2011 .

[62]  Niels Otto Jensen,et al.  Determination Of The Surface Drag Coefficient , 2001 .

[63]  W. Brutsaert The Roughness Length for Water Vapor Sensible Heat, and Other Scalars. , 1975 .