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We study local power fluctuations in numerical simulations of stationary, homogeneous, isotropic turbulence in two and three dimensions with Gaussian forcing. Due to the near-Gaussianity of the one-point velocity distribution, the…

Statistical Mechanics · Physics 2009-11-13 M. M. Bandi , Sergei G. Chumakov , Colm Connaughton

We study the spatio-temporal two-point correlation function of passively advected scalar fields in the inertial-convective range in three dimensions by means of numerical simulations. We show that at small time delays $t$ the correlations…

We investigate the statistical properties of Lagrangian tracers transported by a time-correlated compressible renewing flow. We show that the preferential sampling of the phase space performed by tracers yields significant differences…

Fluid Dynamics · Physics 2015-06-23 Ajinkya Dhanagare , Stefano Musacchio , Dario Vincenzi

The Hilbert-Huang transform is applied to analyze single particle Lagrangian velocity data from numerical simulations of hydrodynamic turbulence. The velocity trajectory is described in terms of a set of intrinsic mode functions, C_{i}(t),…

Fluid Dynamics · Physics 2013-05-07 Yongxiang Huang , Luca Biferale , Enrico Calzavarini , Chao Sun , Federico Toschi

We present a new Eulerian framework for the computation of turbulent compressible multiphase channel flows, specifically to assess turbulence modulation by dispersed particulate matter in dilute concentrations but with significant mass…

Fluid Dynamics · Physics 2025-08-12 Ajay Dhankarghare , Yuval Dagan

Experiments and numerical simulations reveal that in the forward cascade regime, the energy spectrum of two-dimensional turbulence with Ekman friction deviates from Kraichnan's prediction of $k^{-3}$ power spectrum. In this letter we…

Fluid Dynamics · Physics 2015-06-04 Mahendra K. Verma

In three-dimensional turbulent flows, the flux of energy from large to small scales breaks time symmetry. We show here that this irreversibility can be quantified by following the relative motion of several Lagrangian tracers. We find by…

Fluid Dynamics · Physics 2015-06-22 Jennifer Jucha , Haitao Xu , Alain Pumir , Eberhard Bodenschatz

We obtain, by extensive direct numerical simulations, time-dependent and equal-time structure functions for the vorticity, in both quasi-Lagrangian and Eulerian frames, for the direct-cascade regime in two-dimensional fluid turbulence with…

Fluid Dynamics · Physics 2015-03-19 Samriddhi Sankar Ray , Dhrubaditya Mitra , Prasad Perlekar , Rahul Pandit

We study the statistics of the vorticity field in two-dimensional Navier-Stokes turbulence with a linear Ekman friction. We show that the small-scale vorticity fluctuations are intermittent, as conjectured by Nam et al. [Phys. Rev. Lett.…

Chaotic Dynamics · Physics 2009-11-07 G. Boffetta , A. Celani , S. Musacchio , M. Vergassola

We present a detailed review of some of the most recent developments on Eulerian and Lagrangian turbulence in homogeneous and isotropic statistics. In particular, we review phenomenological and numerical results concerning the issue of…

Fluid Dynamics · Physics 2015-10-01 R. Benzi , L. Biferale

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

A new phenomenological model of turbulent fluctuations is constructed by considering the Lagrangian dynamics of 4 points (the tetrad). The closure of the equations of motion is achieved by postulating an anisotropic, i.e. tetrad shape…

chao-dyn · Physics 2009-10-31 Michael Chertkov , Alain Pumir , Boris I. Shraiman

We investigate the Lagrangian statistics of three-dimensional rotating turbulent flows through direct numerical simulations. We find that the emergence of coherent vortical structures because of the Coriolis force leads to a suppression of…

Fluid Dynamics · Physics 2019-10-23 Priyanka Maity , Rama Govindarajan , Samriddhi Sankar Ray

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

We report on Lagrangian flow statistics from experimental measurements of homogeneous isotropic turbulence. The investigated flow is driven by 12 impellers inside an icosahedral volume. Seven impeller rotation rates are considered resulting…

Fluid Dynamics · Physics 2025-05-23 Cheng Wang , Sander G. Huisman , Thomas Basset , Romain Volk , Mickael Bourgoin

We investigate theoretically and numerically the effect of polymer additives on two-dimensional turbulence by means of a viscoelastic model. We provide compelling evidence that at vanishingly small concentrations, such that the polymers are…

Chaotic Dynamics · Physics 2009-11-10 G. Boffetta , A. Celani , S. Musacchio

We numerically investigate a two-time Lagrangian velocity correlation function (TTLVCF) for particle pairs in two-dimensional energy inverse-cascade turbulence. We consider self similarity of the correlation function by means of incomplete…

Fluid Dynamics · Physics 2022-07-06 Tatsuro Kishi , Takeshi Matsumoto , Sadayoshi Toh

In this paper, using Pao's conjecture [Y.-H. Pao, Phys. Fluids 11, 1371 (1968)], we derive expressions for the spectra and fluxes of kinetic energy and enstrophy for two-dimensional (2D) forced turbulence that extend beyond the inertial…

Kolmogorov's similarity turbulence theory in a Lagrangian frame is assessed with new direct numerical simulations (DNS) of isotropic turbulence with and without hyperviscosity, which attain higher Reynolds numbers than previously available.…

Fluid Dynamics · Physics 2017-10-25 Manuel Barjona , Carlos B. da Silva

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
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