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A Three-Dimensional Correlation/Spectral Model for Turbulent Velocities in a Convective Boundary Layer
Authors:D Keith Wilson
Institution:(1) Battlefield Environment Division, U.S. Army Research Laboratory, U.S.A;(2) AMSRL-IS-EE, 2800 Powder Mill Road, Adelphi, MD, 20783, U.S.A
Abstract:A three-dimensional model for correlation functions and spectra in theatmospheric, convective boundary layer (CBL) is presented. The modelincludes vertical inhomogeneities introduced by eddy-blocking at the ground.By assuming the disturbance to the turbulent flow resulting from the groundblocking is irrotational, an equation is developed which allows one to writethe inhomogeneous, two-dimensional (2D) cross spectra for the blocked flowin terms of the 2D cross spectra for a homogeneous flow. VonKármán's energy spectrum then is used to determine thehomogeneous, 2D cross spectra. Although there are only two adjustableparameters in the model, the variance and a length scale, the model is shownto agree quite well with a diversity of previous results for the CBL.
Keywords:Turbulence  Atmospheric convective boundary layer  Correlation function
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