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The Height Correction of Similarity Functions in the Stable Boundary Layer
Authors:Zbigniew Sorbjan
Affiliation:(1) Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, CO, USA;(2) NOAA Earth System Research Laboratory, Boulder, CO, USA;(3) U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, NH, USA;(4) Present address: NorthWest Research Associates, Inc. (Bellevue Division), 25 Eagle Ridge, Lebanon, NH 03766-1900, USA;(5) Naval Postgraduate School, Monterey, CA, USA
Abstract:Empirical similarity functions of the Richardson number, obtained from bin-averaged data in the lower part of the stable boundary layer, show an undesired dependence on height at which the observations are collected. A correction of this flaw is proposed and tested by employing the neutral mixing length l o as a similarity scale for height. The function of height describing l o is assumed to be linear in the surface layer, and approaching a specified value with increasing height. The modification does not alter the dependence of similarity functions on the Richardson number, and is shown to be supported by the Cooperative Atmospheric-Surface Exchange Study-1999 (CASES-99) data.
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