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To the naked eye, turbulent flows exhibit whirls of many different sizes. To each size, or scale, corresponds a fraction of the total energy resulting from a cascade in five dimensions: scale, time and three-dimensional space. Understanding…

Fluid Dynamics · Physics 2017-10-23 José I. Cardesa , Alberto Vela-Martín , Javier Jiménez

The properties of energy transfer in the kinetic range of plasma turbulence have fundamental implications on the turbulent heating of space and astrophysical plasmas. It was recently suggested that magnetic reconnection may be responsible…

Plasma Physics · Physics 2024-08-06 Raffaello Foldes , Silvio Sergio Cerri , Raffaele Marino , Enrico Camporeale

Applying a modified version of the Gledzer-Ohkitani-Yamada (GOY) shell model, the signatures of so-called two-dimensionalization effect of three-dimensional incompressible, homogeneous, isotropic fully developed unforced turbulence have…

Chaotic Dynamics · Physics 2015-05-13 Sagar Chakraborty , Mogens H. Jensen , Amartya Sarkar

We numerically study two-dimensional quantum turbulence with a Gross--Pitaevskii model. With the energy initially accumulated at large scale, quantum turbulence with many quantized vortex points is generated. Due to the lack of enstrophy…

Other Condensed Matter · Physics 2015-05-18 Ryu Numasato , Makoto Tsubota , Victor S. L'vov

The predictability problem in the inverse energy cascade of two-dimensional turbulence is addressed by means of direct numerical simulations. The growth rate as a function of the error level is determined by means of a finite size extension…

Chaotic Dynamics · Physics 2009-10-31 G. Boffetta , S. Musacchio

The significance of small-scale forcing of particles on the carrier two-dimensional turbulent flow has been shown to influence the spectral scaling properties of the carrier fluid. We investigate possible consequences of such two-way…

Fluid Dynamics · Physics 2026-04-22 Harshit Joshi , Amal Manoharan , Samriddhi Sankar Ray

We find strong evidence for intermittency in forced two dimensional (2D) turbulence in a flowing soap film experiment. In the forward enstrophy cascade the structure function scaling exponents are nearly indistinguishable from 3D studies.…

Chaotic Dynamics · Physics 2007-05-23 W. Brent Daniel , Maarten A. Rutgers

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

A particular interest on two-dimensional turbulence is the inverse energy cascade from small to large sales, which leads to an energy condensation accompanied by the formation of large-scale vortical structures. Indeed, such a phenomenon is…

Fluid Dynamics · Physics 2026-04-23 An-Xiao Han , Peng-Yu Duan , Ming-Ze Ma , Xi Chen

We present a numerical study of turbulence in Bose-Einstein condensates within the 3D Gross-Pitaevskii equation. We concentrate on the direct energy cascade in forced-dissipated systems. We show that behavior of the system is very sensitive…

Chaotic Dynamics · Physics 2010-08-04 Davide Proment , Sergey Nazarenko , Miguel Onorato

Energy dissipation in collisionless plasmas is a longstanding fundamental physics problem. Although it is well known that magnetic reconnection and turbulence are coupled and transport energy from system-size scales to sub-proton scales,…

We study the inverse energy transfer in forced two-dimensional (2D) Navier--Stokes turbulence in a doubly periodic domain. It is shown that an inverse energy cascade that carries a nonzero fraction of the injected energy to the large scales…

Chaotic Dynamics · Physics 2007-05-23 Chuong V. Tran , Theodore G. Shepherd

To answer the question whether a cascade of energy exists or not in turbulence, we propose a set of correlation functions able to test if there is an irreversible transfert of energy, step by step, from large to small structures. These…

Fluid Dynamics · Physics 2016-11-23 Christophe Josserand , Martine Le Berre , Thierry Lehner , Yves Pomeau

Classical shell models of turbulence do not display dual cascade - inverse of energy and direct of enstrophy - because they fail to reproduce the right thermal spectra. We propose here a multi-branch shell model, including a geometry…

Fluid Dynamics · Physics 2026-03-13 Flavio Tuteri , Sergio Chibbaro , Alexandros Alexakis

Equal-time scaling exponents in fully developed turbulence typically exhibit non anomalous scaling in the inverse cascade of two-dimensional (2D) turbulence and anomalous scaling in three dimensions. We demonstrate that multiscaling is not…

An extreme dissipation event in the bulk of a closed three-dimensional turbulent convection cell is found to be correlated with a strong reduction of the large-scale circulation flow in the system that happens at the same time as a plume…

Fluid Dynamics · Physics 2016-10-13 Joerg Schumacher , Janet D. Scheel

Many questions remain in turbulence research---and related fields---about the underlying physical processes that transfer scalar quantities, such as the kinetic energy, between different length scales. Measurement of an ensemble-averaged…

Soft Condensed Matter · Physics 2007-05-23 M. K. Rivera , W. B. Daniel , S. Y. Chen , R. E. Ecke

Here we report the first evidence of the inverse energy cascade in a flow dominated by 3D motions. Experiments are performed in thick fluid layers where turbulence is driven electromagnetically. It is shown that if the free surface of the…

Fluid Dynamics · Physics 2011-09-26 D. Byrne , H. Xia , M. Shats

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

The problem of intermittency in developed hydrodynamic turbulence is considered. Explicit formulae taking into account effects of finite size of the inertial range are presented for the whole set of intermittency exponents. The formulae fit…

chao-dyn · Physics 2008-02-03 V. M. Malkin
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