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Strain self-amplification is larger than vortex stretching due to an invariant relation of filtered velocity gradients

Published online by Cambridge University Press:  12 January 2023

P.-F. Yang Open the ORCID record for P.-F. Yang [Opens in a new window] ,
Z.D. Zhou Open the ORCID record for Z.D. Zhou [Opens in a new window] ,
H. Xu Open the ORCID record for H. Xu [Opens in a new window]  and
G.W. He Open the ORCID record for G.W. He [Opens in a new window]
P.-F. Yang
Affiliation:
State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China
Z.D. Zhou
Affiliation:
State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China
H. Xu
Affiliation:
Center for Combustion Energy and School of Aerospace Engineering, Tsinghua University, Beijing 100084, PR China
G.W. He*
Affiliation:
State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China
*
†Email address for correspondence: hgw@lnm.imech.ac.cn
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Abstract

A relation among invariants of filtered velocity gradients with two different filter sizes is derived. Based on this relation and physical reasoning, it is shown analytically that strain self-amplification contributes more to energy transfer than vortex stretching in homogeneous turbulence, as observed in recent numerical investigations of homogeneous isotropic turbulence. We note that the invariant relation studied and hence the inequality between strain self-amplification and vortex stretching apply to all homogeneous flows, not restricted to isotropic turbulence.

JFM classification

Turbulent Flows: Homogeneous turbulence Turbulent Flows: Turbulence theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 955 , 25 January 2023 , A15
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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