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Spectral representation of the vertical structure of turbulence in the convective boundary layer
Author(s) -
Berkowicz R.,
Prahm L. P.
Publication year - 1984
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.49711046304
Subject(s) - sine , trigonometric functions , eigenfunction , turbulence , boundary layer , representation (politics) , mathematics , mathematical analysis , convective boundary layer , planetary boundary layer , boundary (topology) , convection , geometry , physics , mechanics , eigenvalues and eigenvectors , quantum mechanics , politics , political science , law
A model is presented of the vertical structure of turbulence in the convective boundary layer. The model is based on representation of the fluctuating velocity components by trigonometric orthogonal functions. The vertical velocity component is represented by a sine and the horizontal by a cosine expansion. The sine representation of the w component ensures that w = 0 at z = 0. The expansion coefficients are uncorrelated if the sine functions are eigenfunctions of the vertical correlation function. A simple form, based on the inertial sub‐range, is adapted for the energy spectrum. Constant parameters of the model are evaluated from the surface layer measurements of the wind velocity variances, and it is shown that the model agrees with the measured vertical structure of variances through the whole boundary layer.