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Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence

Grebenev, Vladimir N. and Oberlack, Martin (2011):
Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence.
In: Journal of Nonlinear Mathematical Physics (JNMP), Atlantis Press, pp. 109-120, 18, (1), ISSN 1402-9251, [Online-Edition: http://www.worldscinet.com/jnmp/18/1801/S1402925111001192.ht...],
[Article]

Abstract

A new geometric view of homogeneous isotropic turbulence is contemplated employing the two-point velocity correlation tensor of the velocity fluctuations. We show that this correlation tensor generates a family of pseudo-Riemannian metrics. This enables us to specify the geometry of a singled out Eulerian fluid volume in a statistical sense. We expose the relationship of some geometric constructions with statistical quantities arising in turbulence.

Item Type: Article
Erschienen: 2011
Creators: Grebenev, Vladimir N. and Oberlack, Martin
Title: Geometric Realization of the Two-Point Velocity Correlation Tensor for Isotropic Turbulence
Language: English
Abstract:

A new geometric view of homogeneous isotropic turbulence is contemplated employing the two-point velocity correlation tensor of the velocity fluctuations. We show that this correlation tensor generates a family of pseudo-Riemannian metrics. This enables us to specify the geometry of a singled out Eulerian fluid volume in a statistical sense. We expose the relationship of some geometric constructions with statistical quantities arising in turbulence.

Journal or Publication Title: Journal of Nonlinear Mathematical Physics (JNMP)
Volume: 18
Number: 1
Publisher: Atlantis Press
Uncontrolled Keywords: Homogeneous isotropic turbulence; two-point correlation tensor; Riemannian metric; von Kármán-Howarth equation
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: 24 Aug 2011 18:16
Official URL: http://www.worldscinet.com/jnmp/18/1801/S1402925111001192.ht...
Additional Information:

DOI: 10.1142/S1402925111001192

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