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Rayleigh-B\'{e}nard convection at high Rayleigh number exhibits turbulence superimposed on large-scale circulation. While buoyancy forces drive the flow at certain scales, how kinetic energy is transfers across the scales is not understood.…

Fluid Dynamics · Physics 2025-05-06 Robin Barta , Claus Wagner , Ron Shnapp

A turbulent flow is maintained by an external supply of kinetic energy, which is eventually dissipated into heat at steep velocity gradients. The scale at which energy is supplied greatly differs from the scale at which energy is…

Fluid Dynamics · Physics 2015-06-30 Haitao Xu , Alain Pumir , Eberhard Bodenschatz

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

In three-dimensional turbulent flows energy is supplied at large scales and cascades down to the smallest scales where viscosity dominates. The flux of energy through scales implies the generation of small scales from larger ones, which is…

Fluid Dynamics · Physics 2015-07-01 Alain Pumir , Haitao Xu , Rainer Grauer , Eberhard Bodenschatz

We study the transition from fluid at rest to turbulence in a rotating water cylinder. We show that the energy, injected at a given height, is transported by inertial wave packets through the fluid volume. These waves propagate at…

Fluid Dynamics · Physics 2009-11-13 Itamar Kolvin , Kobi Cohen , Yuval Vardi , Eran Sharon

Most of the turbulent flows appearing in nature (e.g. geophysical and astrophysical flows) are subjected to strong rotation and stratification. These effects break the symmetries of classical, homogenous isotropic turbulence. In doing so,…

Fluid Dynamics · Physics 2015-09-11 Corentin Herbert , Annick Pouquet , Raffaele Marino

We investigate the energy cascade in wall-bounded turbulence by analysing the interscale transfer between streamwise and spanwise length scales in periodic channels. This transfer originates from the nonlinear interactions in the advective…

Fluid Dynamics · Physics 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

The paper studies the behavior of the trajectories of fluid particles in a compressible generalization of the Kraichnan ensemble of turbulent velocities. We show that, depending on the degree of compressibility, the trajectories either…

Condensed Matter · Physics 2007-05-23 Krzysztof Gawedzki , Massimo Vergassola

A temporal study of energy transfer across length scales is performed in 3D numerical simulations of homogeneous shear flow and isotropic turbulence. The average time taken by perturbations in the energy flux to travel between scales is…

Fluid Dynamics · Physics 2015-11-16 José I. Cardesa , Alberto Vela-Martín , Siwei Dong , Javier Jiménez

In incompressible and periodic statistically stationary turbulence, exchanges of turbulent energy across scales and space are characterised by very intense and intermittent spatio-temporal fluctuations around zero of the time-derivative…

Fluid Dynamics · Physics 2018-08-28 Tatsuya Yasuda , John Christos Vassilicos

The interplay between waves and eddies in stably stratified rotating flows is investigated by means of world-class direct numerical simulations using up to $3072^3$ grid points. Strikingly, we find that the shift from vortex to wave…

Fluid Dynamics · Physics 2017-03-21 Raffaele Marino , Duane Rosenberg , Corentin Herbert , Annick Pouquet

The turbulent energy flux through scales, $\bar{\epsilon}$, remains constant and non vanishing in the limit of zero viscosity, which results in the fundamental anomaly of time irreversibility. It was considered straightforward to deduce…

Chaotic Dynamics · Physics 2015-06-18 Anna Frishman , Gregory Falkovich

Turbulent flows governed by the Navier-Stokes equations (NSE) generate an out-of-equilibrium time irreversible energy cascade from large to small scales. In the NSE, the energy transfer is due to the nonlinear terms that are formally…

Fluid Dynamics · Physics 2018-04-11 Massimo De Pietro , Luca Biferale , Guido Boffetta , Massimo Cencini

The irreversible turbulent energy cascade epitomizes strongly non-equilibrium systems. At the level of single fluid particles, time irreversibility is revealed by the asymmetry of the rate of kinetic energy change, the Lagrangian power,…

Fluid Dynamics · Physics 2017-11-01 Massimo Cencini , Luca Biferale , Guido Boffetta , Massimo De Pietro

The breaking of detailed balance, the symmetry between forward and backward probability transition between two states, is crucial to understand irreversible systems. In hydrodynamic turbulence, a far-from equilibrium system, we observe a…

Turbulence is an out-of-equilibrium flow state that is characterised by nonzero net fluxes of kinetic energy between different scales of the flow. These fluxes play a crucial role in the formation of characteristic flow structures in many…

Fluid Dynamics · Physics 2026-02-04 Youri H. Lemm , Xander M. de Wit , Rudie P. J. Kunnen

In fluid turbulence, energy is transferred from a scale to another by an energy cascade that depends only on the energy dissipation rate. It leads by dimensional arguments to the Kolmogorov 1941 (K41) spectrum. Remarkably the normal modes…

Chaotic Dynamics · Physics 2019-06-19 Gustavo Düring , Christophe Josserand , Giorgio Krstulovic , Sergio Rica

Lagrangian measurements of tracer particle dispersion in stratified turbulence are presented from a large-scale experiment achieving both high buoyancy Reynolds numbers and low Froude numbers -- a regime characteristic of oceanic…

Numerical simulations of a thin layer of turbulent flow in stably stratified conditions within the Boussinesq approximation have been performed. The statistics of energy transfer among scales have been investigated for different values of…

Fluid Dynamics · Physics 2015-06-19 A. Sozza , G. Boffetta , P. Muratore-Ginanneschi , S. Musacchio

We revisit the issue of Lagrangian irreversibility in the context of recent results [Xu, et al., PNAS, 111, 7558 (2014)] on flight-crash events in turbulent flows and show how extreme events in the Eulerian dissipation statistics are…

Fluid Dynamics · Physics 2020-04-22 Jason R. Picardo , Akshay Bhatnagar , Samriddhi Sankar Ray
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