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Slow spectral transfer and energy cascades in isotropic turbulence

Published online by Cambridge University Press:  07 December 2020

Sualeh Khurshid ,
Diego A. Donzis Open the ORCID record for Diego A. Donzis [Opens in a new window]  and
Katepalli R. Sreenivasan
Sualeh Khurshid
Affiliation:
Department of Aerospace Engineering, Texas A&M University, College Station, TX, USA
Diego A. Donzis*
Affiliation:
Department of Aerospace Engineering, Texas A&M University, College Station, TX, USA
Katepalli R. Sreenivasan
Affiliation:
Department of Aerospace Engineering, Texas A&M University, College Station, TX, USA Department of Mechanical and Aerospace Engineering, Department of Physics and Courant Institute of Mathematical Sciences, New York University, New York, NY, USA
*
†Email address for correspondence: [email protected]
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Abstract

A database of highly resolved direct numerical simulations of three-dimensional isotropic turbulence, with Taylor microscale Reynolds numbers ranging from ${\approx }3$ to 400, and grid sizes up to $2048^3$, is used to analyse the temporal behaviours of spectral transfer and energy that result from low-wavenumber forcing. The temporal behaviours of the energy and energy transfer spectra are analysed using single-time and time-delay statistics. Results show that the energy transfer across a given wavenumber in the inertial range fluctuates by an order of magnitude around its temporal average, and only slow fluctuations have the property of being unidirectional, consistent with classical cascade concepts. All small scales, roughly beyond $k\eta > 0.3$, respond essentially instantly to changes at the large scale.

JFM classification

Turbulent Flows: Isotropic turbulence Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 908 , 10 February 2021 , A21
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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