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The energy cascade in turbulence, first statistically described by Richardson (1922) and Kolmogorov (1941), lacked connection to the underlying fluid dynamics. Recent numerical studies of Goto et al. (2017) and Yoneda et al. (2022) revealed…

Analysis of PDEs · Mathematics 2025-09-09 Afifah Maya Iknaningrum , Pen-Yuan Hsu , Tsuyoshi Yoneda , Hirofumi Notsu

Kinetic plasma turbulence cascade spans multiple scales ranging from macroscopic fluid flow to sub-electron scales. Mechanisms that dissipate large scale energy, terminate the inertial range cascade and convert kinetic energy into heat are…

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

We investigate the locality of interactions in hydrodynamic turbulence using data from a direct numerical simulation on a grid of 1024^3 points; the flow is forced with the Taylor-Green vortex. An inertial range for the energy is obtained…

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

Turbulent fluctuations exhibit universal scaling laws that are independent of large-scale statistics. It is often explained that such universality is caused by the loss of information about large-scale statistics during the cascade process.…

Statistical Mechanics · Physics 2025-08-22 Tomohiro Tanogami

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

We propose a modified XY model in which cascade transfer emerges from spatially local interactions, where the spin corresponds to the "velocity" of a turbulent field. For this model, we theoretically calculate the scale-to-scale energy flux…

Statistical Mechanics · Physics 2022-03-28 Tomohiro Tanogami , Shin-ichi Sasa

We investigate the transfer of energy from large scales to small scales in fully developed forced three-dimensional MHD-turbulence by analyzing the results of direct numerical simulations in the absence of an externally imposed uniform…

Fluid Dynamics · Physics 2015-06-26 Alexandros Alexakis , Pablo D. Mininni , Annick Pouquet

The idea that chaotic set of quantum vortices can mimic classical turbulence, or at least reproduce many main features, is currently actively being developed. Appreciating significance of the challenging problem of the classical turbulence…

Other Condensed Matter · Physics 2010-07-06 Sergey K. Nemirovskii , L. P. Kondaurova

Experiments and numerical simulations of turbulent $^4$He and $^3$He-B have established that, at hydrodynamic length scales larger than the average distance between quantum vortices, the energy spectrum obeys the same 5/3 Kolmogorov law…

Fluid Dynamics · Physics 2016-10-03 C. F. Barenghi , Y. A. Sergeev , A. W. Baggaley

Classically, large-scale forced turbulence is characterized by a transfer of energy from large to small scales via nonlinear interactions. We have investigated the changes in this energy transfer process in broad-band forced turbulence…

Fluid Dynamics · Physics 2009-11-11 A. K. Kuczaj , B. J. Geurts , W. D. McComb

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

Superfluid turbulence, often referred to as quantum turbulence, is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic new approach to studying quantum turbulence by…

High Energy Physics - Theory · Physics 2012-12-20 Allan Adams , Paul M. Chesler , Hong Liu

Rotating turbulence is an example of a three-dimensional system in which an inverse cascade of energy, from the small to the large scales, can be formed. While usually understood as a byproduct of the typical bidimensionalization of…

Fluid Dynamics · Physics 2018-11-09 M. Buzzicotti , P. Clark Di Leoni , L. Biferale

Quantum turbulence that exhibits vortex creation, annihilation and interactions is demonstrated as an exact solution of the time-dependent, free-particle Schr\"odinger equation evolved from a smooth random-phased initial condition. Relaxed…

Quantum Physics · Physics 2011-07-08 Tzihong Chiueh , Tak-Pong Woo , Hung-Yu Jian , Hsi-Yu Schive

In low-temperature superfluid helium, viscosity is zero, and vorticity takes the form of discrete, vortex filaments of fixed circulation and atomic thickness. We present numerical evidence of three-dimensional inverse energy transfer from…

Fluid Dynamics · Physics 2015-03-20 Andrew W. Baggaley , Carlo F. Barenghi , Yuri A. Sergeev

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

We demonstrate an inverse energy cascade in a minimal model of forced 2D quantum vortex turbulence. We simulate the Gross-Pitaevskii equation for a moving superfluid subject to forcing by a stationary grid of obstacle potentials, and…

Quantum Gases · Physics 2013-03-07 Matthew T. Reeves , Thomas P. Billam , Brian P. Anderson , Ashton S. Bradley

Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is large, the velocity field of the fluid becomes irregular and…

Mathematical Physics · Physics 2023-12-05 Gabriel B. Apolinário , Geoffrey Beck , Laurent Chevillard , Isabelle Gallagher , Ricardo Grande

We present experimental evidence for a double cascade of kinetic energy in a statistically stationary rotating turbulence experiment. Turbulence is generated by a set of vertical flaps which continuously injects velocity fluctuations…

Fluid Dynamics · Physics 2021-07-27 Antoine Campagne , Basile Gallet , Frédéric Moisy , Pierre-Philippe Cortet
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