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From a database of direct numerical simulations of homogeneous and isotropic turbulence, generated in periodic boxes of various sizes, we extract the spherically symmetric part of moments of velocity increments and first verify the…

Fluid Dynamics · Physics 2020-05-20 Kartik P. Iyer , Katepalli R. Sreenivasan , P. K. Yeung

A recent discovery about the inertial range of homogeneous and isotropic turbulence is the saturation of the scaling exponents $\zeta_n$ for large $n$, defined via structure functions of order $n$ as $S_{n}(r)=\overline{(\delta_r…

Fluid Dynamics · Physics 2022-08-23 Katepalli R. Sreenivasan , Victor Yakhot

The shape of the turbulent energy spectrum in the dissipation range, where viscous effects dominate, remains an open question despite decades of work. We report an experimental investigation of intermediate dissipation range energy spectra…

Fluid Dynamics · Physics 2026-03-24 Dipendra Gupta , Edmund T. Liu , Gregory P. Bewley

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

Fluid Dynamics · Physics 2007-10-29 Joerg Schumacher

Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

Chaotic Dynamics · Physics 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

To characterize fluctuations in a turbulent flow, one usually studies different moments of velocity increments and dissipation rate, $\overline{(v(x+r)-v(x))^{n}}\propto r^{\zeta_{n}}$ and $\overline{{\cal E}^{n}}\propto Re^{d_{n}}$,…

Fluid Dynamics · Physics 2019-05-29 Victor Yakhot , Diego A. Donzis

Results from Direct Numerical Simulations of particle relative dispersion in three dimensional homogeneous and isotropic turbulence at Reynolds number $Re_\lambda \sim 300$ are presented. We study point-like passive tracers and heavy…

Fluid Dynamics · Physics 2015-02-19 L. Biferale , A. S. Lanotte , R. Scatamacchia , F. Toschi

Using a generalization of extended self-similarity we have studied local scaling properties of 3D turbulence in a direct numerical simulation. We have found that these properties are consistent with lognormal-like behavior of energy…

Chaotic Dynamics · Physics 2019-08-17 Daigen Fukayama , Tohru Nakano , Alexander Bershadskii , Toshiyuki Gotoh

We provide experimental measurements for the effective scaling of the Taylor-Reynolds number within the bulk $\text{Re}_{\lambda,\text{bulk}}$, based on local flow quantities as a function of the driving strength (expressed as the Taylor…

Fluid Dynamics · Physics 2018-02-14 Rodrigo Ezeta , Sander G. Huisman , Chao Sun , Detlef Lohse

Fully turbulent flows are characterized by intermittent formation of very localized and intense velocity gradients. These gradients can be orders of magnitude larger than their typical value and lead to many unique properties of turbulence.…

Fluid Dynamics · Physics 2020-09-23 Dhawal Buaria , Alain Pumir , Eberhard Bodenschatz , P. K. Yeung

The scaling of acceleration statistics in turbulence is examined by combining data from the literature with new data from well-resolved direct numerical simulations of isotropic turbulence, significantly extending the Reynolds number range.…

Fluid Dynamics · Physics 2022-06-13 Dhawal Buaria , Katepalli R. Sreenivasan

We present a study of the intermittent properties of a shell model of turbulence with unprecedented statistics, about $\sim 10^7$ eddy turn over time, achieved thanks to an implementation on a large-scale parallel GPU factory. This allows…

We perform one- and two-points magnitude cumulant analysis of one-dimensional longitudinal velocity profiles stemming from three different experimental set-ups and covering a broad range of Taylor scaled Reynolds numbers from 89 to 2500.…

Statistical Mechanics · Physics 2007-05-23 J. Delour , J. F. Muzy , A. Arneodo

The high-order statistics of fluctuations in velocity gradients in the crossover range from the inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical simulations (DNS) of homogeneous isotropic turbulence with…

Chaotic Dynamics · Physics 2011-02-11 Joerg Schumacher , Katepalli R. Sreenivasan , Victor Yakhot

The scaling behavior of the SO(3) irreducible amplitudes $d_n^l(r)$ of velocity structure tensors (see L'vov, Podivilov, and Procaccia, Phys. Rev. Lett. (1997)) is numerically examined for Navier-Stokes turbulence. Here, l characterizes the…

chao-dyn · Physics 2009-10-30 Siegfried Grossmann , Detlef Lohse , Achim Reeh

Scaling exponents of the longitudinal and transversal velocity structure functions in numerical Navier-Stokes turbulence simulations with Taylor-Reynolds numbers up to $\rel = 110$ are determined by the extended self similarity method. We…

chao-dyn · Physics 2009-10-30 Siegfried Grossmann , Detlef Lohse , Achim Reeh

Vortical structures of turbulence, i.e., vortex tubes and sheets, are studied using one-dimensional velocity data obtained in laboratory experiments for duct flows and boundary layers at microscale Reynolds numbers from 332 to 1934. We…

Fluid Dynamics · Physics 2009-11-13 H. Mouri , A. Hori , Y. Kawashima

The numerical experiments of turbulence conducted by Gotoh et al. are analyzed precisely with the help of the formulae for the scaling exponents of velocity structure function and for the probability density function (PDF) of velocity…

Statistical Mechanics · Physics 2009-11-07 T. Arimitsu , N. Arimitsu

We study analytically and numerically the corrections to scaling in turbulence which arise due to the finite ratio of the outer scale $L$ of turbulence to the viscous scale $\eta$, i.e., they are due to finite size effects as anisotropic…

chao-dyn · Physics 2009-10-22 Siegfried Grossmann , Detlef Lohse , Victor L'vov , Itamar Procaccia

The statistical objects characterizing turbulence in real turbulent flows differ from those of the ideal homogeneous isotropic model.They containcontributions from various 2d and 3d aspects, and from the superposition ofinhomogeneous and…

chao-dyn · Physics 2009-10-31 Susan Kurien , Victor S. L'vov , Itamar Procaccia , K. R. Sreenivasan
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