TU Darmstadt / ULB / TUbiblio

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

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

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.

Item Type: Article
Erschienen: 2011
Creators: Oberlack, Martin and Rosteck, Andreas
Title: Applications of the new symmetries of the multi-point correlation equations
Language: English
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.

Journal or Publication Title: Journal of Physics: Conference Series
Volume: 318
Number: 4
Publisher: Institute of Physics
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Exzellenzinitiative
Exzellenzinitiative > Clusters of Excellence
Zentrale Einrichtungen
Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
Date Deposited: 06 Jan 2012 07:29
Official URL: http://stacks.iop.org/1742-6596/318/i=4/a=042011
Additional Information:

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

Identification Number: doi:10.1088/1742-6596/318/4/042011
Export:

Optionen (nur für Redakteure)

View Item View Item