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Turbulence in a box: quantification of large-scale resolution effects in isotropic turbulence free decay

Published online by Cambridge University Press:  05 April 2017

M. Meldi Open the ORCID record for M. Meldi [Opens in a new window]  and
P. Sagaut
M. Meldi*
Affiliation:
Institut PPRIME, Department of Fluid Flow, Heat Transfer and Combustion, CNRS – ENSMA – Université de Poitiers, UPR 3346, SP2MI – Téléport, 211 Bd. Marie et Pierre Curie, B.P. 30179, F86962 Futuroscope Chasseneuil CEDEX, France
P. Sagaut
Affiliation:
Aix Marseille Univ, CNRS, Centrale Marseille, M2P2 UMR 7340, 13451 Marseille, France
*
†Email address for correspondence: marcello.meldi@ensma.fr
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Abstract

The effects of the finiteness of the physical domain over the free decay of homogeneous isotropic turbulence are explored in the present article. Saturation at the large scales is investigated by the use of theoretical analysis and eddy-damped quasi-normal Markovian calculations. Both analyses indicate a strong sensitivity of the large-scale features of the flow to saturation and finite Reynolds number effects. This aspect plays an important role in the general lack of agreement between grid turbulence experiments and numerical simulations. On the other hand, the statistical quantities associated with the behaviour of the spectrum in the inertial region are only marginally affected by saturation. These results suggest new guidelines for the interpretation of experimental and direct numerical simulation studies.

JFM classification

Turbulent Flows: Isotropic turbulence Turbulent Flows: Turbulence theory Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 818 , 10 May 2017 , pp. 697 - 715
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Copyright
© 2017 Cambridge University Press 

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