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A deterministic multi-scale dynamical system is introduced and discussed as prototype model for relative dispersion in stationary, homogeneous and isotropic turbulence. Unlike stochastic diffusion models, here trajectory transport and…

流体动力学 · 物理学 2017-04-19 Guglielmo Lacorata , Angelo Vulpiani

Fully developed turbulence is analised with the lattice model employing vortex tube representation which is introduced recently by the authors. Several characteric features observed in experiments and direct numeric integrations are…

凝聚态物理 · 物理学 2007-05-23 Y-h. Taguchi , Hideki Takayasu

The weak version of universality in turbulence refers to the independence of the scaling exponents of the $n$th order strcuture functions from the statistics of the forcing. The strong version includes universality of the coefficients of…

混沌动力学 · 物理学 2009-11-10 Victor S. L'vov , Ruben Pasmanter , Anna Pomyalov , Itamar Procaccia

Gaining a fundamental understanding of turbulent flows of dilute polymer solutions has been a challenging and outstanding problem for a long time. In this letter, we examine homogeneous, isotropic polymeric turbulence at large Reynolds and…

流体动力学 · 物理学 2025-07-23 Piyush Garg , Marco Edoardo Rosti

We revisit the issue of Lagrangian irreversibility in the context of recent results [Xu, et al., PNAS, 111, 7558 (2014)] on flight-crash events in turbulent flows and show how extreme events in the Eulerian dissipation statistics are…

流体动力学 · 物理学 2020-04-22 Jason R. Picardo , Akshay Bhatnagar , Samriddhi Sankar Ray

The universality of small scales, a cornerstone of turbulence, has been nominally confirmed for low-order mean-field statistics, such as the energy spectrum. However, small scales exhibit strong intermittency, exemplified by formation of…

流体动力学 · 物理学 2025-04-30 Dhawal Buaria , Alain Pumir

In this work, we calculate the self-similar longitudinal velocity correlation function and the statistical properties of velocity difference using the results of the Lyapunov analysis of the fully developed isotropic homogeneous turbulence…

流体动力学 · 物理学 2010-10-12 Nicola de Divitiis

We introduce a time-dependent Eulerian-Lagrangian length-scale and an inverse locality hypothesis which explain scalings of second order one-particle Lagrangian structure functions observed in Kinematic Simulations (KS) of homogeneous…

混沌动力学 · 物理学 2007-05-23 M. A. I. Khan J. C. Vassilicos

We study the statistics of single particle Lagrangian velocity in a shell model of turbulence. We show that the small scale velocity fluctuations are intermittent, with scaling exponents connected to the Eulerian structure function scaling…

混沌动力学 · 物理学 2009-11-07 G. Boffetta , F. De Lillo , S. Musacchio

The normalized non-dimensional von K\'arm\'an-Howarth equation for isotropic homogeneous decaying and forced steady turbulence is integrated to obtain expressions for the dissipation rate coefficient $C_{\epsilon}=(L \epsilon)/< u^2…

流体动力学 · 物理学 2011-08-03 Philip Schaefer

We use an acoustic Lagrangian tracking technique, particularly adapted to measurements in open flows, and a versatile material particles generator (in the form of soap bubbles with adjustable size and density) to characterize Lagrangian…

流体动力学 · 物理学 2009-11-13 Nauman M. Qureshi , Mickael Bourgoin , Christophe Baudet , Alain Cartellier , Yves Gagne

We discuss the problem of anisotropy and intermittency in statistical theory of high Reynolds-number turbulence (and turbulent transport). We present a detailed description of the new tools that allow effective data analysis and systematic…

混沌动力学 · 物理学 2009-11-10 Luca Biferale , Itamar Procaccia

Three-dimensional turbulence is usually studied experimentally by using a spatially localized forcing at large scales (e.g. via rotating blades or oscillating grids), often in a deterministic way. Here, we report an original technique where…

The present work analyzes the statistics of finite scale local Lyapunov exponents of pairs of fluid particles trajectories in fully developed incompressible homogeneous isotropic turbulence. According to the hypothesis of fully developed…

流体动力学 · 物理学 2018-06-12 Nicola de Divitiis

We study the Lagrangian dynamics of semi-flexible macromolecules in laminar as well as in homogeneous and isotropic turbulent flows by means of analytically solvable stochastic models and direct numerical simulations. The statistics of the…

流体动力学 · 物理学 2014-03-18 Aamir Ali , Samriddhi Sankar Ray , Dario Vincenzi

We carry out an in-depth analysis of a recently introduced vortex gas model of homogeneous and isotropic turbulence. Direct numerical simulations are used to provide a concrete physical interpretation of one of the model's constituent…

流体动力学 · 物理学 2023-12-05 L. Moriconi , R. M. Pereira , V. J. Valadão

We present a collection of eight data sets, from state-of-the-art experiments and numerical simulations on turbulent velocity statistics along particle trajectories obtained in different flows with Reynolds numbers in the range $R_\lambda…

We present a systematic study of the influence of different forcing types on the statistical properties of supersonic, isothermal turbulence in both the Lagrangian and Eulerian frameworks. We analyse a series of high-resolution,…

流体动力学 · 物理学 2014-11-27 Lukas Konstandin , Christoph Federrath , Ralf S. Klessen , Wolfram Schmidt

The scaling properties of correlation functions of non-scalar fields (constructed from velocity derivatives) in isotropic hydrodynamic turbulence are characterized by a set of universal exponents. It is explained that these exponents also…

chao-dyn · 物理学 2009-10-28 Victor L'vov , Itamar Procaccia

The theory of fully developed turbulence is usually considered in an idealized homogeneous and isotropic state. Real turbulent flows exhibit the effects of anisotropic forcing. The analysis of correlation functions and structure functions…

chao-dyn · 物理学 2009-10-31 Itai Arad , Victor S. L'vov , Itamar Procaccia