Spectral modelling of homogeneous non-isotropic turbulence

Author:

Cambon C.,Jeandel D.,Mathieu J.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference19 articles.

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2. Comte-Bellot, G. , Corrsin, S. 1971 Simple Eulerian time correlation of full and narrow-band velocity signals in grid-generated, ‘isotropic turbulence’.J. Fluid Mech. 48,273–337.

3. Proudman, I. & Reid, W. H. 1954 On the decay of a normally distributed and homogeneous turbulent velocity field.Phil. Trans. Roy. Soc. A297,163–189.

4. Sulem, P. L. , Frisch, U. & Lesieur, M. 1975 Le ‘test field model’ interprété comme méthode de fermeture des équations de la turbulence.Am. Geophys. 31,487.

5. Ogura, S. A. 1963 A consequence of the zero fourth cumulant approximation in the decay of isotropic turbulence.J. Fluid Mech. 16,33–40.

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