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On the one-point probability density function for the wind velocity in the neutral atmospheric surface layer

Published online by Cambridge University Press:  10 July 1998

A. WENZEL and
M. BALDAUF
A. WENZEL
Affiliation:
Institut für Meteorologie und Klimaforschung, Universität/Forschungszentrum Karlsruhe, Kaiserstr. 12, D–76128 Karlsruhe, Germany
M. BALDAUF
Affiliation:
Institut für Meteorologie und Klimaforschung, Universität/Forschungszentrum Karlsruhe, Kaiserstr. 12, D–76128 Karlsruhe, Germany
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Abstract

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The differential equation describing the one-point joint probability density function for the wind velocity given by Lundgren (1967) in neutral turbulent flows is extended by a term which also takes into consideration the pressure–mean strain interaction. For the new equation a solution is given describing the one-point probability density function for the wind velocity fluctuations if the profile of the mean wind velocity is logarithmic. The properties of this solution are discussed to identify the differences to a Gaussian having the same first and second moments.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 366 , 10 July 1998, pp. 351 - 365
Copyright
© 1998 Cambridge University Press