Parameter estimation of surface layer turbulence from wind speed vertical profile

Abstract The present work presents an iterative method for estimating the characteristic parameters of surface layer turbulence, based exclusively on the knowledge of the roughness length z0 and of the mean wind speed vertical profile. The method is a ‘specialised’ version of the well known Gauss–Newton non-linear optimisation method and its extreme simplicity allows the direct use of the latter in a real-time data acquisition system of limited potential. Comparison of the estimates derived from the proposed method with those obtained using the gradient method shows an excellent agreement between the two methods. In addition, numerical analysis has revealed excellent characteristics of speed and convergence.

[1]  Teodoro Georgiadis,et al.  Method for Estimation of Surface Roughness and Similarity Function of Wind Speed Vertical Profile , 1998 .

[2]  H. Panofsky,et al.  Atmospheric Turbulence: Models and Methods for Engineering Applications , 1984 .

[3]  R. McMillen,et al.  An eddy correlation technique with extended applicability to non-simple terrain , 1988 .

[4]  J. Finnigan,et al.  Atmospheric Boundary Layer Flows: Their Structure and Measurement , 1994 .

[5]  Frans T. M. Nieuwstadt,et al.  The computation of the friction velocity u* and the temperature scale T* from temperature and wind velocity profiles by least-square methods , 1978 .

[6]  T. Brubaker,et al.  Nonlinear Parameter Estimation , 1979 .

[7]  A. Dyer A review of flux-profile relationships , 1974 .

[8]  R. Sozzi,et al.  Sonic anemometry and thermometry: theoretical basis and data-processing software , 1996 .

[9]  R. Berkowicz,et al.  Evaluation of the profile method for estimation of surface fluxes of momentum and heat , 1982 .

[10]  W. Murray Numerical Methods for Unconstrained Optimization , 1975 .

[11]  Albert A. M. Holtslag,et al.  Flux Parameterization over Land Surfaces for Atmospheric Models , 1991 .

[12]  W. Press,et al.  Numerical Recipes in Fortran: The Art of Scientific Computing.@@@Numerical Recipes in C: The Art of Scientific Computing. , 1994 .

[13]  Yonathan Bard,et al.  Nonlinear parameter estimation , 1974 .

[14]  William H. Press,et al.  Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .

[15]  R. Pielke Mesoscale Meteorological Modeling , 1984 .

[16]  Dimitrios Melas,et al.  An Investigation of the Boundary Layer Dynamics of Sardinia Island under Sea-Breeze Conditions , 2000 .

[17]  S. Argentini,et al.  Estimation of flux parameters from sodar wind profiles , 1997 .

[18]  A. Lo On the determination of boundary-layer parameters using velocity profile as the sole information , 1979 .

[19]  Gerd Tetzlaff,et al.  Application of a spectral correction method for measurements of covariances with fast-response sensors in the atmospheric boundary layer up to a height of 130 m and testing of the corrections , 1994 .

[20]  T. W. Horst,et al.  A SIMPLE FORMULA FOR ATTENUATION OF EDDY FLUXES MEASURED WITH FIRST-ORDER-RESPONSE SCALAR SENSORS , 1997 .