Comparing mixing-length models of the diabatic wind profile over homogeneous terrain

Models of the diabatic wind profile over homogeneous terrain for the entire atmospheric boundary layer are developed using mixing-length theory and are compared to wind speed observations up to 300 m at the National Test Station for Wind Turbines at Høvsøre, Denmark. The measurements are performed within a wide range of atmospheric stability conditions, which allows a comparison of the models with the average wind profile computed in seven stability classes, showing a better agreement than compared to the traditional surface-layer wind profile. The wind profile is measured by combining cup anemometer and lidar observations, showing good agreement at the overlapping heights. The height of the boundary layer, a parameter required for the wind profile models, is estimated under neutral and stable conditions using surface-layer turbulence measurements, and under unstable conditions based on the aerosol backscatter profile from ceilometer observations.

[1]  A. Obukhov,et al.  Turbulence in an atmosphere with a non-uniform temperature , 1971 .

[2]  Stefan Emeis,et al.  Remote Sensing Methods to Investigate Boundary-layer Structures relevant to Air Pollution in Cities , 2006 .

[3]  T. Foken.  50 Years of the Monin–Obukhov Similarity Theory , 2006 .

[4]  Sven-Erik Gryning,et al.  Applied model for the growth of the daytime mixed layer , 1991 .

[5]  H. Tennekes,et al.  Asymptotic Similarity in Neutral Barotropic Planetary Boundary Layers , 1968 .

[6]  Stefan Emeis,et al.  Atmospheric boundary-layer structure from simultaneous SODAR, RASS, and ceilometer measurements , 2004 .

[7]  Per Jonas Petter Lindelöw,et al.  Testing and comparison of lidars for profile and turbulence measurements in wind energy , 2008 .

[8]  Alfredo Peña,et al.  Charnock’s Roughness Length Model and Non-dimensional Wind Profiles Over the Sea , 2008 .

[9]  Stefan Emeis,et al.  Surface-based remote sensing of the mixing-layer height a review , 2008 .

[10]  Alfredo Pena Diaz.  Sensing the wind profile , 2009 .

[11]  J. Garratt,et al.  Evaluating Models of The Neutral, Barotropic Planetary Boundary Layer using Integral Measures: Part I. Overview , 2002 .

[12]  S. Gryning,et al.  Measurements and Modelling of the Wind Speed Profile in the Marine Atmospheric Boundary Layer , 2008 .

[13]  S. Zilitinkevich,et al.  Resistance Laws and Prediction Equations for the Depth of the Planetary Boundary Layer , 1975 .

[14]  L. Prandtl.  7. Bericht über Untersuchungen zur ausgebildeten Turbulenz , 1925 .

[15]  Per Jonas Petter Lindelöw,et al.  Wind shear proportional errors in the horizontal wind speed sensed by focused, range gated lidars , 2008 .

[16]  K. Sahu,et al.  A Re-examination of the , 2001 .

[17]  S. Larsen,et al.  On the extension of the wind profile over homogeneous terrain beyond the surface boundary layer , 2007 .

[18]  U. Högström.  Non-dimensional wind and temperature profiles in the atmospheric surface layer: A re-evaluation , 1988 .

[19]  Christopher W. Fairall,et al.  Convective Profile Constants Revisited , 2000 .

[20]  W. Tollmien,et al.  Bericht über Untersuchungen zur ausgebildeten Turbulenz , 1961 .

[21]  Torben Mikkelsen,et al.  Comparison of 3D turbulence measurements using three staring wind lidars and a sonic anemometer , 2008 .

[22]  Raymond M. Hoff,et al.  The Detection of Mixed Layer Depth and Entrainment Zone Thickness from Lidar Backscatter Profiles , 1999 .

[23]  Charlotte Bay Hasager,et al.  Length Scales of the Neutral Wind Profile over Homogeneous Terrain , 2010 .

[24]  E. F. Bradley,et al.  Flux-Profile Relationships in the Atmospheric Surface Layer , 1971 .

[25]  D. Mironov,et al.  A multi-limit formulation for the equilibrium depth of a stably stratified boundary layer , 1996 .

[26]  Hans A. Panofsky,et al.  Profiles of Wind and Temperature from Towers over Homogeneous Terrain. , 1973 .

[27]  A. Blackadar.  The vertical distribution of wind and turbulent exchange in a neutral atmosphere , 1962 .

[28]  H. Lettau.  A Re‐examination of the “Leipzig Wind Profile” Considering some Relations between Wind and Turbulence in the Frictional Layer , 1950 .

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

[30]  W. Tollmien,et al.  Meteorologische Anwendung der Strömungslehre , 1961 .

[31]  Ari Karppinen,et al.  Mixing height determination by ceilometer , 2005 .