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Turbulent flows in a thin layer can develop an inverse energy cascade leading to spectral condensation of energy when the layer height is smaller than a certain threshold. These spectral condensates take the form of large-scale vortices in…

Fluid Dynamics · Physics 2019-09-11 Adrian van Kan , Takahiro Nemoto , Alexandros Alexakis

Using a large number of numerical simulations we examine the steady state of rotating turbulent flows in triple periodic domains, varying the Rossby number $Ro$ (that measures the inverse rotation rate) and the Reynolds number $Re$ (that…

Fluid Dynamics · Physics 2018-03-14 Kannabiran Seshasayanan , Alexandros Alexakis

We study two-dimensional turbulence in a square no-slip domain without bottom drag using direct numerical simulations. The dynamics are shown to depend strongly on the torque $M$ of the external forcing. When $M$ is relatively large, a…

Fluid Dynamics · Physics 2025-09-09 Alisa Shikanian , Vladimir Parfenyev

Two-dimensional turbulent flows, and to some extent, geophysical flows, are systems with a large number of degrees of freedom, which, albeit fluctuating, exhibit some degree of organization: coherent structures emerge spontaneously at large…

Statistical Mechanics · Physics 2017-03-21 Corentin Herbert

Turbulence is fundamental to energy transfer across scales in space and astrophysical plasmas. Bow shock interactions have long been hypothesized to significantly modify turbulence in planetary environments, yet the quantification of such…

Plasma Physics · Physics 2025-10-27 Wence Jiang , Hui Li , Nahuel Andrés , Lina Hadid , Daniel Verscharen , Chi Wang

Progress in understanding the coupling between plasma instabilities in the equatorial electrojet based on a unified fluid model is reported. A deeper understanding of the linear and nonlinear evolution and the coupling of the gradient-drift…

Plasma Physics · Physics 2017-01-04 Ehab Hassan , D. R. Hatch , P. J. Morrison , W. Horton

By analyzing hot-wire velocity data taken in an open channel flow, an unambiguous definition of surface-layer thickness is here provided in terms of the cross-over scale between backward and forward energy fluxes. It is shown that the…

Fluid Dynamics · Physics 2016-11-18 Guido Troiani , Francesco Cioffi , Angelo Olivieri , Carlo Massimo Casciola

In helical turbulence a linear cascade of helicity accompanying the energy cascade has been suggested. Since energy and helicity have different dimensionality we suggest the existence of a characteristic inner scale, $\xi=k_H^{-1}$, for…

Chaotic Dynamics · Physics 2009-11-07 P. D. Ditlevsen , P. Giuliani

This experimental study analyzes the relationship between the dimensionality of turbulence and the upscale or downscale nature of its energy transfers. We do so by forcing low-$Rm$ magnetohydrodynamic (MHD) turbulence in a confined channel,…

Fluid Dynamics · Physics 2018-06-12 N. T. Baker , A. Pothérat , L. Davoust , F. Debray

The conservation of the enstrophy ($L^2$ norm of the vorticity $\omega$) plays an essential role in the physics and mathematics of two-dimensional (2D) Euler fluids. Generalizing to compressible ideal (inviscid and barotropic) fluids, the…

Fluid Dynamics · Physics 2017-12-15 Zensho Yoshida , Philip J. Morrison

Fluid turbulence is a far-from-equilibrium phenomenon and remains one of the most challenging problems in physics. Two-dimensional, fully developed turbulence may possess the largest possible symmetry, the conformal symmetry. We focus on…

High Energy Physics - Theory · Physics 2022-10-14 Jun Nian , Xiaoquan Yu , Jinwu Ye

In wall-bounded parallel flows, sustained turbulence can occur even while laminar flow is still stable. Channel flow is one of such flows and displays spatio-temporal fluctuating patterns of localized turbulence along its way from/to…

Fluid Dynamics · Physics 2019-12-03 Masaki Shimizu , Paul Manneville

The question of how nonlinear interactions redistribute the energy of fluctuations across available degrees of freedom is of fundamental importance in the study of turbulence and transport in magnetized weakly collisional plasmas, ranging…

Plasma Physics · Physics 2015-05-19 G. G. Plunk , T. Tatsuno

Superfluid turbulence is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the relative value of the friction force acting on a vortex with respect to the non-dissipative forces. The…

Soft Condensed Matter · Physics 2016-08-31 G. E. Volovik

We present the first direct numerical simulation of gravitational wave turbulence. General relativity equations are solved numerically in a periodic box with a diagonal metric tensor depending on two space coordinates only, $g_{ij} \equiv…

General Relativity and Quantum Cosmology · Physics 2021-09-29 Sebastien Galtier , Sergey V. Nazarenko

This paper analyses the turbulent energy cascade from the perspective of statistical mechanics, and relates inter-scale energy fluxes to statistical irreversibility and information-entropy production. The microscopical reversibility of the…

Fluid Dynamics · Physics 2021-04-07 Alberto Vela-Martin , Javier Jimenez

The collective motion of microswimmers in suspensions induce patterns of vortices on scales that are much larger than the characteristic size of a microswimmer, attaining a state called bacterial turbulence. Hydrodynamic turbulence acts on…

Fluid Dynamics · Physics 2019-08-02 Moritz Linkmann , Guido Boffetta , M. Cristina Marchetti , Bruno Eckhardt

The cascade of energy in turbulent flows, i.e., the transfer of kinetic energy from large to small flow scales or vice versa (backward cascade), is the cornerstone of most theories and models of turbulence since the 1940s. Yet,…

Fluid Dynamics · Physics 2020-04-22 Siwei Dong , Yongxiang Huang , Xianxu Yuan , Adrián Lozano-Durán

Prediction is a fundamental objective of science. It is more difficult for chaotic and complex systems like turbulence. Here we use information theory to quantify spatial prediction using experimental data from a turbulent soap film. At…

Fluid Dynamics · Physics 2014-12-05 Rory Cerbus , Walter Goldburg

Local analysis of the two dimensional Navier-Stokes equations is used to obtain estimates on the energy and enstrophy fluxes involving Taylor and Kraichnan length scales and the size of the domain. In the framework of zero driving force and…

Analysis of PDEs · Mathematics 2015-03-17 R. Dascaliuc , Z. Grujic
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