The Karman-Howarth and Corrsin closures are claimed to be K=u^3 sqrt((1-f)/2) f' and G=u theta^2 sqrt((1-f)/2) f_theta', obtained from the Liouville theorem plus an assumed uniform distribution of longitudinal velocity increments.
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von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem
The Karman-Howarth and Corrsin closures are claimed to be K=u^3 sqrt((1-f)/2) f' and G=u theta^2 sqrt((1-f)/2) f_theta', obtained from the Liouville theorem plus an assumed uniform distribution of longitudinal velocity increments.