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Lagrangian particles in turbulence separate away from each other faster in the backward in time direction as compared to forward in time. In this work, we show that time irreversibility is kinematically rooted in the fact that, when viewed…

Fluid Dynamics · Physics 2025-08-20 Ron Shnapp

Large scale features of a randomly isotropically forced incompressible and unbounded rotating fluid are examined in perturbation theory. At first order in both the random force amplitude and the angular velocity we find two types of…

Fluid Dynamics · Physics 2009-11-10 Jose Gaite , David Hochberg , Carmen Molina-Paris

Spatial distributions of heavy particles suspended in an incompressible isotropic and homogeneous turbulent flow are investigated by means of high resolution direct numerical simulations. In the dissipative range, it is shown that particles…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio , F. Toschi

Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic…

Fluid Dynamics · Physics 2024-04-24 Rahul K. Singh , Prasad Perlekar , Dhrubaditya Mitra , Marco E. Rosti

We investigate the Lagrangian properties of homogeneous, stratified turbulence at different Brunt-V\"ais\"al\"a frequencies.We show increasing vertical confinement of trajectories with increasing stratification strength highlighting the…

Fluid Dynamics · Physics 2025-03-31 Arun Kumar Varanasi

Inpired by recent measurements of the velocity and acceleration statistics of Lagrangian tracer particles embedded in a turbulent quantum liquid we propose a new superstatistical model for the dynamics of tracer particles in quantum…

Statistical Mechanics · Physics 2015-06-22 Shihan Miah , Christian Beck

Particles in turbulence live complicated lives. It is nonetheless sometimes possible to find order in this complexity. It was proposed in [Falkovich et al., Phys. Rev. Lett. 110, 214502 (2013)] that pairs of Lagrangian tracers at small…

Chaotic Dynamics · Physics 2015-08-04 Anna Frishman , Guido Boffetta , Filippo De Lillo , Alex Liberzon

In Lagrangian turbulence one is faced with the puzzle that 2D Navier-Stokes flows are nearly as intermittent as in three dimensions although no intermittency is present in the inverse cascade in 2D Eulerian turbulence. In addition, an…

Fluid Dynamics · Physics 2007-05-23 Rudolf Friedrich , Rainer Grauer , Holger Homann , Oliver Kamps

Turbulent Rayleigh-B\'enard convection in slender cylindrical cells exhibits rich dynamics of the large-scale circulation (LSC), with several rolls stacked on top of each other. We propose that the elliptical instability is the mechanism…

Fluid Dynamics · Physics 2020-08-05 Lukas Zwirner , Andreas Tilgner , Olga Shishkina

We present a formal connection between Lagrangian and Eulerian velocity increment distributions which is applicable to a wide range of turbulent systems ranging from turbulence in incompressible fluids to magnetohydrodynamic turbulence. For…

Fluid Dynamics · Physics 2015-05-13 O. Kamps , R. Friedrich , R. Grauer

Local regions of anomalous particle dispersion, and intermittent events that occur in turbulent flows can greatly influence the global statistical description of the flow. These local behaviors can be identified and analyzed by comparing…

Fluid Dynamics · Physics 2014-08-26 J. Pratt , A. Busse , W. -C. Mueller , S. C. Chapman , N. W. Watkins

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

Herein,we numerically examine the relative dispersion of Lagrangian particle pairs in two-dimensional inverse energy-cascade turbulence. Behind the Richardson-Obukhov $t^3$ law of relative separation, we discover that the second-order…

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

This two-part review summarizes interstellar turbulence and its implications. The first part begins with diagnostics and energy sources. Turbulence theory is considered in detail, including the basic fluid equations, solenoidal and…

Astrophysics · Physics 2008-11-26 Bruce G. Elmegreen , John Scalo

Scaling and structural evolutions are contemplated in a new perspective for turbulent channel flows. The total integrated turbulence kinetic energy remains constant when normalized by the friction velocity squared, while the total…

Fluid Dynamics · Physics 2021-05-19 T. -W. Lee

We report experimental results on the three dimensional Lagrangian acceleration in highly turbulent flows. Tracer particles are tracked optically using four silicon strip detectors from high energy physics that provide high temporal and…

Fluid Dynamics · Physics 2009-11-10 Nicolas Mordant , Alice M. Crawford , Eberhard Bodenschatz

The Lagrangian point of view is adopted to study turbulent premixed combustion. The evolution of the volume fraction of combustion products is established by the Reynolds transport theorem. It emerges that the burned-mass fraction is led by…

Statistical Mechanics · Physics 2011-07-29 Gianni Pagnini , Ernesto Bonomi

We investigate time-irreversibility from the point of view of a single particle in Burgers turbulence. Inspired by the recent work for incompressible flows [Xu et al., PNAS 111.21 (2014) 7558], we analyze the evolution of the kinetic energy…

Fluid Dynamics · Physics 2015-08-04 Tobias Grafke , Anna Frishman , Gregory Falkovich

Due to large scale flow inhomogeneities and the effects of temperature, turbulence small-scale structure in thermal convection is still an active field of investigation, especially considering sophisticated Lagrangian statistics. Here we…

Cellular suspensions such as dense bacterial flows exhibit a turbulence-like phase under certain conditions. We study this phenomenon of "active turbulence" statistically by using numerical tools. Following Wensink et al. [Proc. Natl. Acad.…

Fluid Dynamics · Physics 2018-02-15 Martin James , Michael Wilczek