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On pseudo self-similar regimes in isotropic turbulence decay

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The issue of the evolution of self-similar regimes in homogeneous isotropic turbulence (HIT) is addressed by the use of an eddy-damped quasi-normal Markovian (EDQNM) model. The numerical results show that a complete self-similar regime is not universal and is observed for specific initial conditions only. Moreover, the analysis of a three range energy spectrum indicates that the shape of the energy spectrum E(k, t) close to its peak drive the emergence of different regimes. The very large scales for E(k, t) → 0 have a negligible impact over the decay laws followed by the HIT statistical quantities.

Author(s):

Pierre Sagaut    
UPMC
France

Marcello Meldi    
UPMC
France