Universality of anisotropic fluctuations from numerical simulations of turbulent flows

Details Universality of anisotropic fluctuations from numerical simulations of turbulent flows Universality of anisotropic fluctuations from numerical simulations of turbulent flows

2003-02-14

arxiv.org/abs/nlin/0302036v1

Europhysics Letters 64 4 (2003) 461

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

10.1209/epl/i2003-00233-9

We present new results from a direct numerical simulation of a three dimensional homogeneous Rayleigh-Benard system (HRB), i.e. a convective cell with an imposed linear mean temperature profile along the vertical direction. We measure the SO(3)-decomposition of both velocity structure functions and buoyancy terms. We give a dimensional prediction for the values of the anisotropic scaling exponents in this Rayleigh-Benard systems. Measured scaling does not follow dimensional estimate, while a better agreement can be found with the anisotropic scaling of a different system, the random-Kolmogorov-flow (RKF). Our findings support the conclusion that scaling properties of anisotropic fluctuations are universal, i.e. independent of the forcing mechanism sustaining the turbulent flow.

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