Anomalous self-similarity in two-dimensional turbulence

Details Anomalous self-similarity in two-dimensional turbulence Anomalous self-similarity in two-dimensional turbulence

2001-04-18

arxiv.org/abs/physics/0104055v2

Physics

Fluid Dynamics

11 pages, 5 figures

Scientific paper

Our velocity measurements on a quasi-two-dimensional turbulent flow in a rapidly rotating annulus yield an inverse cascade with E(k)~k^{-2} rather than the expected E(k)~k^{-5/3}. The probability distribution functions for longitudinal velocity differences, \delta_v(r)=v(x+r)-v(x), are self-similar (scale independent) but strongly non-Gaussian, which suggests that the coherent vortices play a significant role. The structure functions, <[\delta_v(r)]^p>~r^{\zeta_p}, exhibit anomalous scaling: \zeta_p=p/2 rather than \zeta_p=p/3 as in the 1941 Kolmogorov theory.

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