A Refinement of the Millionshchikov Quasi-Normality Hypothesis for Convective Boundary Layer Turbulence

Author:

Gryanik Vladimir M.1,Hartmann Jörg2,Raasch Siegfried3,Schröter Michael3

Affiliation:

1. Alfred Wegener Institute for Polar and Marine Research, Bremerhaven, Germany, and A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Moscow, Russia

2. Alfred Wegener Institute for Polar and Marine Research, Bremerhaven, Germany

3. University of Hannover, Hannover, Germany

Abstract

Abstract The Millionshchikov hypothesis of quasi-normal distribution of fourth-order moments fails for convective conditions where the probability density functions of temperature and vertical velocity fluctuations are skewed. This is shown for aircraft and large-eddy simulation (LES) data, and new closures for fourth-order moments that take the skewness into account are suggested. These new closures are in very good agreement with the data.

Publisher

American Meteorological Society

Subject

Atmospheric Science

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