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GEOMETRIC REALIZATION OF THE TWO-POINT VELOCITY CORRELATION TENSOR FOR ISOTROPIC TURBULENCE

VLADIMIR N. GREBENEV

Institute of Computational Technologies SD RAS, Lavrentjev Ave. 6, Novosibirsk, 630090, Russia

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MARTIN OBERLACK

Technische Universität Darmstadt, Petersenstraße 30, Darmstadt 64287, Germany

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https://doi.org/10.1142/S1402925111001192Cited by:6 (Source: Crossref)

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.

Keywords:

AMSC: 53B21, 53B30, 76F05

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