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Relative dispersion in fully developed turbulence is investigated by means of direct numerical simulations. Lagrangian statistics is found to be compatible with Richardson description although small systematic deviations are found. The…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , I. M. Sokolov

Kelvin's Theorem on conservation of circulations is an essential ingredient of G. I. Taylor's theory of turbulent energy dissipation by the process of vortex-line stretching. In previous work, we have proposed a nonlinear mechanism for the…

Fluid Dynamics · Physics 2009-11-11 Gregory L. Eyink

We study the statistical and dynamical behavior of turbulent Kelvin waves propagating on quantized vortices in superfluids, and address the controversy concerning the energy spectrum that is associated with these excitations. Finding the…

Statistical Mechanics · Physics 2012-04-13 Laurent Boué , Ratul Dasgupta , Jason Laurie , Victor L'vov , Sergey Nazarenko , Itamar Procaccia

A class of shell models for turbulent energy transfer at varying the inter-shell separation, $\lambda$, is investigated. Intermittent corrections in the continuous limit of infinitely close shells ($\lambda \rightarrow 1$) have been…

chao-dyn · Physics 2009-10-28 R. Benzi , L. Biferale , E. Trovatore

This is a paper about multi-fractal scaling and dissipation in a shell model of turbulence, called the GOY model. This set of equations describes a one dimensional cascade of energy towards higher wave vectors. When the model is chaotic,…

chao-dyn · Physics 2009-10-22 Leo Kadanoff , Detlef Lohse , Jane Wang , Roberto Benzi

Lagrangian acceleration has been investigated both experimentally and numerically in the past, and it has been shown to exhibit extreme fluctuations, which have been rationalized as events in which tracer particles get trapped into vortical…

Fluid Dynamics · Physics 2025-07-24 Lorenzo Piro , Massimo Cencini , Roberto Benzi

The turbulence of superfluid helium is investigated numerically at finite temperature. Direct numerical simulations are performed with a "truncated HVBK" model, which combines the continuous description of the…

Fluid Dynamics · Physics 2012-02-14 Julien Salort , Philippe-E. Roche , Emmanuel Lévêque

The Frisch-Parisi multifractal formalism remains the most compelling rationalisation for anomalous scaling in fully developed turbulence. We now show that this formalism can be adapted locally to reveal the spatial distribution of…

Fluid Dynamics · Physics 2023-07-13 Siddhartha Mukherjee , Sugan D. Murugan , Ritwik Mukherjee , Samriddhi Sankar Ray

Following the exact decomposition in eigenstates of helicity for the Navier-Stokes equations in Fourier space [F. Waleffe, Phys. Fluids A 4, 350 (1992)] we introduce a modified version of helical shell models for turbulence with non-local…

Fluid Dynamics · Physics 2015-11-04 Massimo De Pietro , Luca Biferale , Alexei A. Mailybaev

In fully developed three dimensional fluid turbulence the fluctuating energy is supplied at large scales, cascades through intermediate scales, and dissipates at small scales. It is the hallmark of turbulence that for intermediate scales,…

Fluid Dynamics · Physics 2013-01-09 Heng-Dong Xi , Eberhard Bodenschatz , Haitao Xu

A general Reynolds analogy (GRA) theory is proposed for the mean and fluctuating velocity and temperature in compressible wall-bounded turbulent flows. In particular, an exact analogy solution is derived for compressible turbulent pipe and…

Fluid Dynamics · Physics 2013-01-03 You-sheng Zhang , Wei-tao Bi , Fazle. Husain , Xin-liang Li , Zhen-su She

We address the experimentally observed non-Gaussian fluctuations for the energy injected into a closed turbulent flow at fixed Reynolds number. We propose that the power fluctuations mirror the internal kinetic energy fluctuations. Using a…

Statistical Mechanics · Physics 2007-05-23 B. Portelli , P. C. W. Holdsworth , J. -F. Pinton

In this presentation we review the link between the statistics of intensity fluctuations in spectral line data cubes with underlying statistical properties of turbulence in the interstellar medium. Both the formalism of Velocity Channel…

Astrophysics · Physics 2009-11-11 Dmitri Pogosyan , Alex Lazarian

A landmark of out-of-equilibrium physics is Kolmogorov's phenomenological theory of turbulence. However, the past 20 years have provided evidence of a new, universal type of turbulence cascade, which does not abide to Kolmogorov physics. To…

Fluid Dynamics · Physics 2021-01-05 K. Steiros

A theoretical description of the phenomenon of modulation of near-wall turbulence by large scale structures is investigated. The description given is simple in that the effect of large-scale structures is limited to a quasi-steady response…

Fluid Dynamics · Physics 2012-03-19 Sergei I. Chernyshenko , Ivan Marusic , Romain Mathis

We propose an exact analytical formula for the anomalous scaling exponents of inertial range structure functions in incompressible fluid turbulence. The formula is a gravitational Knizhnik-Polyakov-Zamolodchikov (KPZ)-type relation, and is…

Chaotic Dynamics · Physics 2015-10-28 Christopher Eling , Yaron Oz

We study compressible turbulent flow in a circular pipe, at computationally high Reynolds number. Classical related issues are addressed and discussed in light of the DNS data, including validity of compressibility transformations,…

Fluid Dynamics · Physics 2018-10-10 Davide Modesti , Sergio Pirozzoli

The statistics of the energy and helicity fluxes in isotropic turbulence are studied using high resolution direct numerical simulation. The scaling exponents of the energy flux agree with those of the transverse velocity structure functions…

Chaotic Dynamics · Physics 2009-11-07 Qiaoning Chen , Shiyi Chen , Gregory L. Eyink , Darryl D. Holm

By analogy with recent arguments concerning the mean velocity profile of wall-bounded turbulent shear flows, we suggest that there may exist corrections to the 2/3 law of Kolmogorov, which are proportional to $(\ln\,\Re)^{-1}$ at large Re.…

Condensed Matter · Physics 2009-10-28 G. I. Barenblatt , Nigel Goldenfeld

The present work proposes a theory of isotropic and homogeneous turbulence for incompressible fluids, which assumes that the turbulence is due to the bifurcations associated to the velocity field. The theory is formulated using a…

Fluid Dynamics · Physics 2009-02-12 Nicola de Divitiis
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