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The intermittency of a passive scalar advected by three-dimensional Navier-Stokes turbulence at a Taylor-scale Reynolds number of $650$ is studied using direct numerical simulations on a $4096^3$ grid; the Schmidt number is unity. By…

Fluid Dynamics · Physics 2019-01-02 Kartik P. Iyer , Jörg Schumacher , Katepalli R Sreenivasan , P K Yeung

An essential ingredient of turbulent flows is the vortex stretching mechanism, which emanates from the non-linear interaction of vorticity and strain-rate tensor and leads to formation of extreme events. We analyze the statistical…

Fluid Dynamics · Physics 2020-10-13 Dhawal Buaria , Eberhard Bodenschatz , Alain Pumir

In previous work Majda and McLaughlin computed explicit expressions for the $2N$th moments of a passive scalar advected by a linear shear flow in the form of an integral over ${\bf R}^N$. In this paper we first compute the asymptotics of…

Fluid Dynamics · Physics 2007-05-23 J. C. Bronski , R. M. McLaughlin

We formulate multifractal models for velocity differences and gradients which describe the full range of length scales in turbulent flow, namely: laminar, dissipation, inertial, and stirring ranges. The models subsume existing models of…

Fluid Dynamics · Physics 2020-04-15 Abigail Hsu , Ryan Kaufman , James Glimm

We apply non-extensive methods to the statistical analysis of fully developed turbulent flows. Probability density functions of velocity differences at distance r obtained by extremizing the Tsallis entropies coincide well with what is…

Statistical Mechanics · Physics 2007-05-23 Christian Beck

In wall-bounded turbulence, the moment generating functions (MGFs) of the streamwise velocity fluctuations $\left<\exp(qu_z^+)\right>$ develop power-law scaling as a function of the wall normal distance $z/\delta$. Here $u$ is the…

Fluid Dynamics · Physics 2016-09-06 Xiang I. A. Yang , Charles Meneveau , Ivan Marusic , Luca Biferale

We have developed a new experimental technique to measure the Lagrangian velocity of tracer particles in a turbulent flow, based on ultrasonic Doppler tracking. This method yields a direct access to the velocity of a single particule at a…

Fluid Dynamics · Physics 2009-11-07 N. Mordant , P. Metz , O. Michel , J. -F. Pinton

The deviations $\delta\zeta_m$ ("intermittency corrections") from classical ("K41") scaling $\zeta_m=m/3$ of the $m^{th}$ moments of the velocity differences in high Reynolds number turbulence are calculated, extending a method to…

chao-dyn · Physics 2009-10-22 Siegfried Grossmann , Detlef Lohse

We report a high-resolution numerical study of two-dimensional (2D) miscible Rayleigh-Taylor (RT) incompressible turbulence with the Boussinesq approximation. An ensemble of 100 independent realizations were performed at small Atwood number…

Fluid Dynamics · Physics 2015-06-16 Quan Zhou

We analyze the data stemming from a forced incompressible hydrodynamic simulation on a grid of 2048^3 regularly spaced points, with a Taylor Reynolds number of Re~1300. The forcing is given by the Taylor-Green flow, which shares…

Fluid Dynamics · Physics 2009-11-13 P. D. Mininni , A. Alexakis , A. Pouquet

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

Multiscale statistical analyses of inertial particle distributions are presented to investigate the statistical signature of clustering and void regions in particle-laden incompressible isotropic turbulence. Three-dimensional direct…

Fluid Dynamics · Physics 2021-06-16 Keigo Matsuda , Kai Schneider , Katsunori Yoshimatsu

In recent years several local extrema based methodologies have been proposed to investigate either the nonlinear or the nonstationary time series for scaling analysis. In the present work we study systematically the distribution of the…

Statistical Mechanics · Physics 2018-09-24 Yongxiang Huang , Lipo Wang , F. G. Schmitt , Xiaobo Zheng , Nan Jiang , Yulu Liu

The complex flow features resulting from the laminar-turbulent transition (LTT) in a sudden expansion pipe flow, with expansion ratio of 1:2 subjected to an inlet vortex perturbation is investigated by means of direct numerical simulations…

A statistically stationary and nearly homogeneous turbulent shear flow is established by an additional volume forcing in combination with stress-free boundary conditions in the shear direction. Both turbulent energy and enstrophy are…

Chaotic Dynamics · Physics 2019-06-19 Joerg Schumacher

We use silicon strip detectors (originally developed for the CLEO III high energy particle physics experiment) to measure fluid particle trajectories in turbulence with temporal resolution of up to 70,000 frames per second. This high frame…

Fluid Dynamics · Physics 2009-11-07 Greg A. Voth , A. La Porta , Alice M. Crawford , Eberhard Bodenschatz , Jim Alexander

By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent $\lambda$, and the Reynolds number $Re$ is measured using direct…

Fluid Dynamics · Physics 2018-01-31 A. Berera , R. D. J. G. Ho

Direct numerical simulation is used to investigate the decay exponent of isotropic homogeneous turbulence over a range of Reynolds numbers sufficient to display both high and low Re number decay behavior. The initial turbulence is generated…

Fluid Dynamics · Physics 2010-07-29 J. Blair Perot

In a series of recent works it was proposed that shell models of turbulence exhibit inertial range scaling exponents that depend on the nature of the dissipative mechanism. If true, and if one could imply a similar phenomenon to…

chao-dyn · Physics 2009-10-31 Victor S. L'vov , Itamar Procaccia , Damien Vandembroucq

Here we report the measurements of two-dimensional (2-D) spectra of the streamwise velocity ($u$) in a high Reynolds number turbulent boundary layer. A novel experiment employing multiple hot-wire probes was carried out at friction Reynolds…

Fluid Dynamics · Physics 2017-09-29 Dileep Chandran , Rio Baidya , Jason P. Monty , Ivan Marusic