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Is vortex stretching the main cause of the turbulent energy cascade?

Published online by Cambridge University Press:  20 November 2019

M. Carbone Open the ORCID record for M. Carbone [Opens in a new window]  and
A. D. Bragg Open the ORCID record for A. D. Bragg [Opens in a new window]
M. Carbone
Affiliation:
Dipartimento di Ingegneria Meccanica e Aerospaziale, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129Torino, Italy Department of Civil and Environmental Engineering, Duke University, Durham, NC27708, USA
A. D. Bragg*
Affiliation:
Department of Civil and Environmental Engineering, Duke University, Durham, NC27708, USA
*
†Email address for correspondence: andrew.bragg@duke.edu
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Abstract

In three-dimensional turbulence there is on average a cascade of kinetic energy from the largest to the smallest scales of the flow. While the dominant idea is that the cascade occurs through the process of vortex stretching, evidence for this is debated. Here we show theoretically and numerically that vortex stretching is in fact not the main contributor to the average cascade. The main contributor is the self-amplification of the strain-rate field, and we provide several arguments for why its role must not be conflated with that of vortex stretching. Numerical results, however, indicate that vortex stretching plays a more important role during fluctuations of the cascade about its average behaviour. We also resolve a paradox regarding the differing role of vortex stretching on the energy cascade and energy dissipation rate dynamics.

JFM classification

Turbulent Flows: Turbulence theory Vortex Flows: Vortex dynamics
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 883 , 25 January 2020 , R2
Copyright
© 2019 Cambridge University Press

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