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The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, $E(k) \sim k^{-\alpha}$, $3 \le \alpha < 5$, is discussed.…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , M. Cencini , A. Lanotte , D. Vergni , A. Vulpiani

The concept of inverse statistics in turbulence has attracted much attention in the recent years. It is argued that the scaling exponents of the direct structure functions and the inverse structure functions satisfy an inversion formula.…

Fluid Dynamics · Physics 2007-05-23 Jian-Liang Xu , Wei-Xing Zhou , Hai-Feng Liu , Xin Gong , Fu-Cheng Wang , Zun-Hong Yu

Lagrangian properties obtained from a Particle Tracking Velocimetry experiment in a turbulent flow at intermediate Reynolds number are presented. Accurate sampling of particle trajectories is essential in order to obtain the Lagrangian…

Fluid Dynamics · Physics 2015-05-13 Jacob Berg , Soren Ott , Jakob Mann , Beat Luthi

The transitional regime of plane channel flow is investigated {above} the transitional point below which turbulence is not sustained, using direct numerical simulation in large domains. Statistics of laminar-turbulent spatio-temporal…

Fluid Dynamics · Physics 2020-09-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

Based on theoretical argument and experimental evidence, we conjecture that structure functions of turbulent times series exhibit log-periodic modulations decorating their power law dependence. In order to provide ironclad experimental…

Statistical Mechanics · Physics 2007-05-23 D. Sornette

Using the unique capabilities of the Variable Density Turbulence Tunnel at the Max Planck Institute for Dynamics and Self-Organization, G\"{o}ttingen, we report experimental result on classical grid turbulence that uncover fine, yet…

Fluid Dynamics · Physics 2017-10-04 Michael Sinhuber , Gregory P. Bewley , Eberhard Bodenschatz

Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is presented, and difference between the two corresponding sets…

Chaotic Dynamics · Physics 2009-11-07 N. Hadyn , J. Luevano , G. Mantica , S. Vaienti

We investigate the connection between the inertial range and the dissipation range statistics of rotating turbulence through detailed simulations of a helical shell model and a multifractal analysis. In particular, by using the latter, we…

Time scales of turbulent strain activity, denoted as the strain persistence times of first and second order, are obtained from time-dependent expectation values and correlation functions of lagrangian rate-of-strain eigenvalues taken in…

Fluid Dynamics · Physics 2014-01-06 L. Moriconi , R. M. Pereira

Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence of different…

Fluid Dynamics · Physics 2015-11-09 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

The dynamics of a passive scalar plume in a turbulent boundary layer is experimentally investigated via vertical turbulent transport time-series. Data are acquired in a rough-wall turbulent boundary layer that develops in a recirculating…

A detailed comparison between data from experimental measurements and numerical simulations of Lagrangian velocity structure functions in turbulence is presented. By integrating information from experiments and numerics, a quantitative…

Chaotic Dynamics · Physics 2008-06-06 L. Biferale , E. Bodenschatz , M. Cencini , A. S. Lanotte , N. T. Ouellette , F. Toschi , H. Xu

Maxima of the scalar dissipation rate in turbulence appear in form of sheets and correspond to the potentially most intensive scalar mixing events. Their cross-section extension determines a locally varying diffusion scale of the mixing…

Chaotic Dynamics · Physics 2007-05-23 Dan Kushnir , Joerg Schumacher , Achi Brandt

The anomalous scaling phenomena of three-dimensional passive scalar turbulence are studied using high resolution direct numerical simulation. The inertial range scaling exponents of the passive scalar increment and the scalar dissipation…

chao-dyn · Physics 2009-10-30 Shiyi Chen , Nianzheng Cao

Stochastic biochemical and transport processes have various final outcomes, and they can be viewed as dynamic systems with multiple exits. Many current theoretical studies, however, typically consider only a single time scale for each…

Statistical Mechanics · Physics 2020-08-26 Golan Bel , Anton Zilman , Anatoly B. Kolomeisky

Energy dissipation is highly intermittent in turbulent plasmas, being localized in coherent structures such as current sheets. The statistical analysis of spatial dissipative structures is an effective approach to studying turbulence. In…

High Energy Astrophysical Phenomena · Physics 2015-09-16 Vladimir Zhdankin , Dmitri A. Uzdensky , Stanislav Boldyrev

The statistical properties of interstellar turbulence are studied by means of three-dimensional high-resolution HD and MHD simulations of a SN-driven ISM. It is found that the longitudinal and transverse turbulent length scales have time…

Astrophysics · Physics 2017-08-23 Miguel A. de Avillez , Dieter Breitschwerdt

The inverse structure functions of exit distances have been introduced as a novel diagnostic of turbulence which emphasizes the more laminar regions [1-4]. Using Taylor's frozen field hypothesis, we investigate the statistical properties of…

Fluid Dynamics · Physics 2007-05-23 W. -X. Zhou , D. Sornette , W. -K. Yuan

We have imagined a numerical experiment to explore the onset of turbulent intermittency associated with a spatial perturbation of the correlation length. We place two isotropic regions, with different integral scales, inside a volume where…

Fluid Dynamics · Physics 2012-11-29 Daniela Tordella , Michele Iovieno

We define and characterize multi-time Lagrangian structure functions using data stemming from two swirling flows with mean flow and turbulent fluctuations: A Taylor-Green numerical flow, and a von K\'arm\'an laboratory experiment. Data is…

Fluid Dynamics · Physics 2022-07-21 Sofía Angriman , Pablo D. Mininni , Pablo J. Cobelli
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