Inverse velocity statistics in two dimensional turbulence

Abstract

We present a numerical study of two-dimensional turbulent flows in the enstrophy cascade regime, with different large-scale forcings and energy sinks. In particular, we study the statistics of more-than-differentiable velocity fluctuations by means of two recently introduced sets of statistical estimators, namely {\it inverse statistics} and {\it second order differences}. We show that the 2D turbulent velocity field, $\mathbf{u}$, cannot be simply characterized by its spectrum behavior, $E(k)\propto k^{-\alpha }$. There exists a whole set of exponents associated to the non-trivial smooth fluctuations of the velocity field at all scales. We also present a numerical investigation of the temporal properties of $\mathbf{u}$ measured in different spatial locations.

9 pages, 12 figures

References in corpus (4)

• Particles and fields in fluid turbulence
• Intermittency in two-dimensional Ekman-Navier-Stokes turbulence
• Constraints on the spectral distribution of energy and enstrophy dissipation in forced two-dimensional turbulence
• Inverse statistics of smooth signals: the case of two dimensional turbulence

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