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On space and time correlations of isotropic and rotating turbulence

Lookup NU author(s): Dr Benjamin Favier


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Two different approaches are used for evaluating two-time correlations of Fourier velocity modes in isotropic and in rotating homogeneous incompressible turbulence. A synthetic model is proposed and compared with the results of direct numerical simulations. This kinematic model presents the advantage to incorporate different sources of unsteadiness from arbitrary time scales to linear dynamics of rotating flows. The two main time scales characterizing the various processes involved in the dynamics of isotropic turbulence can be included: the sweeping effect, in which small scales of the flow are advected by the large scale motion, and the straining hypothesis—also called Kolmogorov or eddy turnover time scale. In the rotating case, the dispersion relation of inertial waves can also be included. Using Lighthill’s theory, the effect of these different time scales on the sound emitted by such a model is also examined and compared with direct numerical simulations.

Publication metadata

Author(s): Favier B, Cambon C, Godeferd FS

Publication type: Article

Publication status: Published

Journal: Physics of Fluids

Year: 2010

Volume: 22

Issue: 1

Print publication date: 04/01/2010

ISSN (print): 1070-6631

ISSN (electronic): 1089-7666

Publisher: American Institute of Physics


DOI: 10.1063/1.3276290


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