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In our conventional understanding, large-scale magnetic fields are thought to originate from an inverse cascade in the presence of magnetic helicity, differential rotation, or a magneto-rotational instability. However, as recent simulations…

Plasma Physics · Physics 2017-09-20 Kiwan Park

We examine the steady state of turbulent flows in thin layers using direct numerical simulations. It is shown that when the layer thickness is smaller than a critical height, an inverse cascade arises which leads to the formation of a…

Fluid Dynamics · Physics 2019-03-14 Adrian van Kan , Alexandros Alexakis

We consider the evolution of a family of 2D dispersive turbulence models. The members of this family involve the nonlinear advection of a dynamically active scalar field, the locality of the streamfunction-scalar relation is denoted by…

Fluid Dynamics · Physics 2009-02-20 Jai Sukhatme , Leslie M. Smith

A short, abrupt increase in energy injection rate into steady strongly-driven rotating turbulent flow is used as a probe for energy transfer in the system. The injected excessive energy is localized in time and space and its spectra differ…

Fluid Dynamics · Physics 2025-10-30 Omri Shaltiel , Alon Salhov , Omri Gat , Eran Sharon

The formation and transition of patterns of two-dimensional turbulent flows observed in various geophysical systems are commonly explained in terms of statistical mechanics. Different from ordinary systems, for a two-dimensional flow, the…

Fluid Dynamics · Physics 2023-01-11 Yohei Onuki

Working directly from the 3D magnetohydrodynamical equations and entirely in physical scales we formulate a scenario wherein the enstrophy flux exhibits cascade-like properties. In particular we show the inertially-driven transport of…

Mathematical Physics · Physics 2013-06-28 Z. Bradshaw , Z. Grujić

Transition from a split to a forward kinetic energy cascade system is explored in the context of rotating turbulence using direct numerical simulations with a three-dimensional isotropic random force uncorrelated with the velocity field.…

Fluid Dynamics · Physics 2019-05-15 Tiago Pestana , Stefan Hickel

It has been recently shown numerically that there exists an inverse transfer of magnetic energy in decaying, nonhelical, magnetically dominated, magnetohydrodynamic turbulence in 3-dimensions (3D). We suggest that magnetic reconnection is…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-23 Pallavi Bhat , Muni Zhou , Nuno F. Loureiro

In a two-dimensional (2D) classical fluid, a large-scale flow structure emerges out of turbulence, which is known as the inverse energy cascade where energy flows from small to large length scales. An interesting question is whether this…

Quantum Gases · Physics 2017-07-12 Sang Won Seo , Bumsuk Ko , Joon Hyun Kim , Yong-il Shin

We analyze velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional ($2d$) turbulence in a finite box. As we demonstrated in \cite{16KL}, the universal velocity profile, established…

Fluid Dynamics · Physics 2016-12-21 I. V. Kolokolov , V. V. Lebedev

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

Fluid Dynamics · Physics 2007-05-23 Hua-Shu Dou

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 this paper, using Pao's conjecture [Y.-H. Pao, Phys. Fluids 11, 1371 (1968)], we derive expressions for the spectra and fluxes of kinetic energy and enstrophy for two-dimensional (2D) forced turbulence that extend beyond the inertial…

We employ a coarse-graining approach to analyze nonlinear cascades in Boussinesq flows using high-resolution simulation data. We derive budgets which resolve the evolution of energy and potential enstrophy simultaneously in space and in…

Fluid Dynamics · Physics 2015-05-28 Hussein Aluie , Susan Kurien

The effects of changing the orientation of the rotation axis on homogeneous turbulence is considered. We perform direct numerical simulations on a periodic box of $1024^3$ grid points, where the orientation of the rotation axis is changed…

Fluid Dynamics · Physics 2016-04-12 Kartik P. Iyer , Irene Mazzitelli , Fabio Bonaccorso , Annick Pouquet , Luca Biferale

Interacting systems driven far from equilibrium tend to evolve to steady states exhibiting large-scale structure and order. In two-dimensional turbulent flow the seemingly random swirling motion of a fluid can evolve towards persistent…

We look at various correlation functions, which include those that involve both the velocity and the vorticity fields, in two-dimensional (2D) isotropic homogeneous unforced turbulence. We adopt the more intuitive approach due to Kolmogorov…

Fluid Dynamics · Physics 2009-08-10 Sagar Chakraborty

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 explore the energy spectra and associated fluxes of turbulent two-dimensional quantum droplets subjected to a rotating paddling potential which is removed after a few oscillation periods. A systematic analysis on the impact of the…

Quantum Gases · Physics 2025-07-04 Shawan Kumar Jha , Mahendra K. Verma , S. I. Mistakidis , Pankaj Kumar Mishra

Large-scale turbulence in fluid layers and other quasi-two-dimensional compressible systems consists of planar vortices and waves. Separately, wave turbulence usually produces a direct energy cascade, while solenoidal planar turbulence…

Fluid Dynamics · Physics 2017-10-02 Gregory Falkovich , Alexei G. Kritsuk
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