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Applications of the new symmetries of the multi-point correlation equations

Oberlack, Martin ; Rosteck, Andreas (2024)
Applications of the new symmetries of the multi-point correlation equations.
In: Journal of Physics: Conference Series, 2011, 318 (4)
doi: 10.26083/tuprints-00020770
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Applications of the new symmetries of the multi-point correlation equations
Language: English
Date: 6 February 2024
Place of Publication: Darmstadt
Year of primary publication: 2011
Place of primary publication: Bristol
Publisher: IOP Publishing
Journal or Publication Title: Journal of Physics: Conference Series
Volume of the journal: 318
Issue Number: 4
Collation: 10 Seiten
DOI: 10.26083/tuprints-00020770
Corresponding Links:
Origin: Secondary publication DeepGreen

We presently show that the infinite set of multi-point correlation equations, which are direct statistical consequences of the Navier-Stokes equations, admit a rather large set of Lie symmetry groups. Additional to the symmetries stemming from the Navier-Stokes equations a new scaling group and translational groups of the correlation vectors and all independent variables have been discovered. These new statistical groups have important consequences on our understanding of turbulent scaling laws. Exemplarily, we consider one of the key foundations of statistical turbulence theory, the universal law of the wall, and show that the log-law fundamentally relies on one of the new translational groups. Furthermore, we present rotating channel flows, where different rotational axes result in very different scaling laws.

Identification Number: Artikel-ID: 042011
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-207705
Additional Information:

13th European Turbulence Conference (ETC13)

Classification DDC: 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE)
Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
Date Deposited: 06 Feb 2024 10:01
Last Modified: 06 Feb 2024 10:02
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/20770
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