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Spectral modelling of homogeneous non-isotropic turbulence

Published online by Cambridge University Press:  20 April 2006

C. Cambon ,
D. Jeandel  and
J. Mathieu
C. Cambon
Affiliation:
Laboratoire de Mécanique des Fluides, Ecole Centrale de Lyon, 69130 Ecully, France
D. Jeandel
Affiliation:
Laboratoire de Mécanique des Fluides, Ecole Centrale de Lyon, 69130 Ecully, France
J. Mathieu
Affiliation:
Laboratoire de Mécanique des Fluides, Ecole Centrale de Lyon, 69130 Ecully, France
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Abstract

The paper describes a method to calculate homogeneous anisotropic turbulent fields associated with a constant mean velocity gradient. The equations governing the Fourier transform of the triple velocity correlations are closed by using an extended eddy-damped quasi-normal approximation. An angular parametrization of the second-order spectral tensor is introduced in order to integrate analytically all the directional terms over a spherical shell. Numerical solutions of the model are presented for typical homogeneous anisotropic flows.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 104 , March 1981 , pp. 247 - 262
Copyright
© 1981 Cambridge University Press

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