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Sweeping decorrelation in isotropic turbulence

 

作者: Shiyi Chen,   Robert H. Kraichnan,  

 

期刊: Physics of Fluids A  (AIP Available online 1989)
卷期: Volume 1, issue 12  

页码: 2019-2024

 

ISSN:0899-8213

 

年代: 1989

 

DOI:10.1063/1.857475

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Tennekes [J. Fluid Mech.67, 561 (1975)] estimated the time decorrelation of inertial‐range excitation in isotropic turbulence by assuming effective statistical independence of the one‐time distributions of inertial‐range and energy‐range excitation. This picture has been challenged by Yakhot, Orszag, and She [Phys. Fluids A1, 184 (1989)], who studied forced turbulence by renormalization‐group (RNG) methods. The analysis given in the present paper leads to the conclusion that (a) precise coherence between energy‐range and inertial‐range excitation is needed to inhibit sweeping effects; (b) in the case of randomly forced turbulence, this coherence is impossible and Tennekes’ picture is unavoidable; and (c) the RNG analysis does not demonstrate inhibition of sweeping; instead, it discards sweeping effects at the outset. To augment the present study, an advected passive scalar is examined by computer simulation. Sweeping effects on small scales survive even in the case of long‐time advection by a frozen velocity field. The observed probability distributions resemble those for the alignment of vorticity and velocity observed in flow simulations.

 

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