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Closure of the Two-Point Correlation Equation in Physical Space as a Basis for Reynolds Stress Models

Oberlack, Martin and Peters, Norbert
So, R. M. C. and Speziale, C. G. and Launder, Brian El. (eds.) :

Closure of the Two-Point Correlation Equation in Physical Space as a Basis for Reynolds Stress Models.
In: Near-Wall Turbulent Flows: Proceedings of the International Conference, Tempe, AZ, USA, 15-17 March 1993. Elsevier Science , pp. 85-94. ISBN 0444896635
[Book Section] , (1993)

Abstract

A closure model for the von Kármán-Howarth-Equation is introduced. The model holds for a wide range of well accepted turbulence theories for homogeneous isotropic turbulence, as there is Kolmogorovs first and second similarity hypothesis and the invariant theory, which is a generalization of Loitsianskiis and Birkhoffs integrals. Experimental verification supports the model in a range of reliable data and numerical calculations produces nearly identical results with the EDQNM theory. The model could be extended to the correlation equation for arbitrary turbulent flows. Supposing locally isotropic turbulence a moment expansion of the correlation equation brings out the production term in the ε-equation in a modified form. It could be shown that the deviation of cε₁ from 3/2 emerges from the nonlocal dependence of dissipation. The dissipation term in the ε-equation leads to a coupling of the parameter cε₂ with basic parameters describing the decay law of isotropic turbulence.

Item Type: Book Section
Erschienen: 1993
Editors: So, R. M. C. and Speziale, C. G. and Launder, Brian El.
Creators: Oberlack, Martin and Peters, Norbert
Title: Closure of the Two-Point Correlation Equation in Physical Space as a Basis for Reynolds Stress Models
Language: English
Abstract:

A closure model for the von Kármán-Howarth-Equation is introduced. The model holds for a wide range of well accepted turbulence theories for homogeneous isotropic turbulence, as there is Kolmogorovs first and second similarity hypothesis and the invariant theory, which is a generalization of Loitsianskiis and Birkhoffs integrals. Experimental verification supports the model in a range of reliable data and numerical calculations produces nearly identical results with the EDQNM theory. The model could be extended to the correlation equation for arbitrary turbulent flows. Supposing locally isotropic turbulence a moment expansion of the correlation equation brings out the production term in the ε-equation in a modified form. It could be shown that the deviation of cε₁ from 3/2 emerges from the nonlocal dependence of dissipation. The dissipation term in the ε-equation leads to a coupling of the parameter cε₂ with basic parameters describing the decay law of isotropic turbulence.

Title of Book: Near-Wall Turbulent Flows: Proceedings of the International Conference, Tempe, AZ, USA, 15-17 March 1993
Publisher: Elsevier Science
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
16 Department of Mechanical Engineering
Date Deposited: 30 Aug 2011 14:12
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