Synthetic Inflow Condition for Large Eddy Simulation (Synthetic - KTH

CHAPTER 3. THE SYNTHETIC EDDY METHOD
where Fε is the flatness of the PDF of εk j . This is only valid when the Reynolds
stress tensor is diagonal which interests us to validate the first case implementation
in a HIT.
This expression shows the influence of the different parameters on the flatness
of the velocity fluctuations. However this won’t be studied in detail but just used
as a reference for the validation of the method which should give a flatness different
from zero contrary to the skewness.
Since the velocity is based on intensities ε taken from a non-skewed distribution,
the odd moments of all linear combination will also vanish. This means that all the
odd moment will be equal to zero whereas the even moment will be nonzero.
Note: The derivation of this last expression, based on the same principles as for
the skweness, won´t be detailed in this report.(see Ref. [18] for more details).
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