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Universal Dependences Between Turbulent and Mean Flow Parameters Instably and Neutrally Stratified Planetary Boundary Layers : Volume 13, Issue 2 (08/05/2006)

By Esau, I. N.

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Book Id: WPLBN0004019747
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Universal Dependences Between Turbulent and Mean Flow Parameters Instably and Neutrally Stratified Planetary Boundary Layers : Volume 13, Issue 2 (08/05/2006)  
Author: Esau, I. N.
Volume: Vol. 13, Issue 2
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Zilitinkevich, S. S., & Esau, I. N. (2006). Universal Dependences Between Turbulent and Mean Flow Parameters Instably and Neutrally Stratified Planetary Boundary Layers : Volume 13, Issue 2 (08/05/2006). Retrieved from

Description: Nansen Environmental and Remote Sensing Centre, Thormohlensgate 47, 5006 Bergen, Norway. We consider the resistance law for the planetary boundary layer (PBL) from the point of view of the similarity theory. In other words, we select the set of the PBL governing parameters and search for an optimal way to express through these parameters the geostrophic drag coefficient Cg=u* /Ug and the cross isobaric angle Α (where u* is the friction velocity and Ug is the geostrophic wind speed). By this example, we demonstrate how to determine the parameter space in the most convenient way, so that make independent the dimensionless numbers representing co-ordinates in the parameter space, and to avoid (or at least minimise) artificial self-correlations caused by the appearance of the same factors (such as u*) in the examined dimensionless combinations (e.g. in Cg=u* /Ug) and in dimensionless numbers composed of the governing parameters. We also discuss the completeness of the parameter space from the point of view of large-eddy simulation (LES) modeller creating a database for a specific physical problem. As recognised recently, very large scatter of data in prior empirical dependencies of Cg and Α on the surface Rossby number Ro=Ug| fz0|-1 (where z0 is the roughness length) and the stratification characterised by µ was to a large extent caused by incompactness of the set of the governing parameters. The most important parameter overlooked in the traditional approach is the typical value of the Brunt-Väisälä frequency N in the free atmosphere (immediately above the PBL), which involves, besides Ro and µ, one more dimensionless number: µN=N/ | f |. Accordingly, we consider Cg and Α as dependent on the three (rather then two) basic dimensionless numbers (including µN) using LES database DATABASE64. By these means we determine the form of the dependencies under consideration in the part of the parameter space representing typical atmospheric PBLs, and provide analytical expressions for Cg and Α.

Universal dependences between turbulent and mean flow parameters instably and neutrally stratified Planetary Boundary Layers

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