Comment on “Mathematical constraints on the scaling exponents in the inertial range of fluid turbulence” [Phys. Fluids 33(3), 031703 (2021)]

The paper [Djenidi et al., Phys. Fluids 33(3), 031703 (2021)] considers a classical issue of an anomalous scaling of velocity structure functions in a high-Reynolds number turbulent flow. The paper offers a mathematical proof of the ground-breaking result: the intermittency is an artifact of the Rey...

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Bibliographic Details
Published in:Physics of fluids (1994) 2021-11, Vol.33 (11)
Main Authors: Kopyev, A. V., Il'yn, A. S., Sirota, V. A., Zybin, K. P.
Format: Article
Language:English
Subjects:
Fluid dynamics
Fluid flow
High Reynolds number
Mathematical analysis
Reynolds number
Turbulence
Turbulent flow
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Summary:The paper [Djenidi et al., Phys. Fluids 33(3), 031703 (2021)] considers a classical issue of an anomalous scaling of velocity structure functions in a high-Reynolds number turbulent flow. The paper offers a mathematical proof of the ground-breaking result: the intermittency is an artifact of the Reynolds number finiteness. However, the proof contains a technical error that makes this conclusion ungrounded.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0070027