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

Oberlack, Martin ; Rosteck, Andreas :
Applications of the new symmetries of the multi-point correlation equations.
[Online-Edition: http://stacks.iop.org/1742-6596/318/i=4/a=042011]
In: Journal of Physics: Conference Series, 318 (4) 042011/1-042011/10. ISSN 1742-6588
[Artikel], (2011)

Offizielle URL: http://stacks.iop.org/1742-6596/318/i=4/a=042011

Kurzbeschreibung (Abstract)

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.

Typ des Eintrags: Artikel
Erschienen: 2011
Autor(en): Oberlack, Martin ; Rosteck, Andreas
Titel: Applications of the new symmetries of the multi-point correlation equations
Sprache: Englisch
Kurzbeschreibung (Abstract):

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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: Journal of Physics: Conference Series
Band: 318
(Heft-)Nummer: 4
Verlag: Institute of Physics
Fachbereich(e)/-gebiet(e): Fachbereich Maschinenbau > Strömungsdynamik
Fachbereich Maschinenbau
Hinterlegungsdatum: 06 Jan 2012 07:29
Offizielle URL: http://stacks.iop.org/1742-6596/318/i=4/a=042011
Zusätzliche Informationen:

13th European Turbulence Conference (ETC13), Warsaw, Poland, 5th - 8th September, 2011

ID-Nummer: 10.1088/1742-6596/318/4/042011
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