On the validity of the Millionshchikov quasi-normality hypothesis for convective boundary layer turbulence

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The Millionshchikov hypothesis of quasi-normal (Gaussian) distribution of the one-point fourth-order moments fails for convective boundary layer conditions. This is because the effect of the semi-organized coherent structures (plumes) leads to skewed distributions, the third-order moments are non-zero. New closures for fourth-order moments are suggested which take into account the self organization of flow into coherent structures. These new closures depend on skewnesses. They are in very good agreement with the aircraft measurements and large-eddy simulation data.

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