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Finite Reynolds number effects on pressure in freely decaying isotropic turbulence

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The finite Reynolds number (FRN) effects over the statistics of the pressure spectrum in free decaying isotropic turbulence are investigated by the eddy-damped quasi-normal Markovian (EDQNM) model. The analysis of the results leads to the conclusion that these effects are important even at high Reynolds numbers, for which an asymptotic behaviour is usually assumed. The results also suggest that Reλ = O(10^4) must be considered to observe a one-decade inertial range in the pressure spectrum with Kolmogorov −7/3 scaling. This threshold value is larger than almost all existing DNS and experimental data, justifying the discussions about other possible scaling laws. The -5/3 slope reported in some DNS data is recovered as well by the EDQNM model, but it is observed to be a low-Reynolds effect.

Author(s):

Marcello Meldi    
Institut Jean Le Rond D'Alembert, Université Pierre et Marie Curie, Paris
France

Pierre Sagaut    
Institut Jean Le Rond D'Alembert, Université Pierre et Marie Curie, Paris
France