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

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 obser...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 955
Main Authors Yang, P.-F., Zhou, Z.D., Xu, H., He, G.W.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 25.01.2023
Subjects
Amplification
Energy
Energy transfer
Homogeneous turbulence
Invariants
Isotropic turbulence
JFM Papers
Strain analysis
Stretching
Turbulence
Turbulent flow
Velocity
Velocity gradient
Velocity gradients
Vortices
homogeneous turbulence
turbulence theory
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2022.1072