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Turbulent flows play an important role in many aspects of nature and technics from sea storms to transport of particles or chemicals. Transport of energy from large scales to small fluctuations is the essential feature of three-dimensional…

Fluid Dynamics · Physics 2014-11-07 V. A. Sirota , K. P. Zybin

We investigate the vorticity dynamics in a turbulent vortex using scattering of acoustic waves. Two ultrasonic beams are adjusted to probe simultaneously two spatial scales in a given volume of the flow, thus allowing a dual channel…

Fluid Dynamics · Physics 2007-06-13 R. Labbé , C. Baudet , G. Bustamante

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

Never is the difference between thermal equilibrium and turbulence so dramatic, as when a quadratic invariant makes the equilibrium statistics exactly Gaussian with independently fluctuating modes. That happens in two very different yet…

Chaotic Dynamics · Physics 2021-06-30 Natalia Vladimirova , Michal Shavit , Gregory Falkovich

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is…

Fluid Dynamics · Physics 2013-09-03 Miguel D. Bustamante , Brenda Quinn

We present a model describing evolution of the small-scale Navier-Stokes turbulence due to its stochastic distortions by much larger turbulent scales. This study is motivated by numerical findings (laval, 2001) that such interactions of…

Fluid Dynamics · Physics 2009-11-10 B. Dubrulle , J. -P. Laval , S. Nazarenko , O. Zaboronski

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

Numerical simulations are used to determine the influence of the non-local and local interactions on the intermittency corrections in the scaling properties of 3D turbulence. We show that neglect of local interactions leads to an enhanced…

Fluid Dynamics · Physics 2016-09-08 J. -P. Laval , B. Dubrulle , S. Nazarenko

A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via triads with nonzero frequency mismatch, applicable in meteorology, nonlinear optics and plasma wave turbulence. We…

Fluid Dynamics · Physics 2015-06-19 Miguel D. Bustamante , Brenda Quinn , Dan Lucas

Simulations of turbulent flows in 3D are one of the most expensive simulations in computational fluid dynamics (CFD). Many works have been written on surrogate models to replace numerical solvers for fluid flows with faster, learned,…

Fluid Dynamics · Physics 2024-03-18 Marten Lienen , David Lüdke , Jan Hansen-Palmus , Stephan Günnemann

The relevance of two-dimensional three-components (2D3C) flows goes well beyond their occurrence in nature, and a deeper understanding of their dynamics might be also helpful in order to shed further light on the dynamics of pure…

Fluid Dynamics · Physics 2017-11-23 L. Biferale , M. Buzzicotti , M. Linkmann

Fully developed homogeneous isotropic turbulence in 2D is fundamentally different from 3D. In 2D, the simultaneous conservation of both energy and enstrophy in the inertial ranges of scales leads to a forward cascade of enstrophy and a…

Fluid Dynamics · Physics 2016-10-05 Nicholas M. Rathmann , Peter D. Ditlevsen

It is generally accepted that the evolution of deep-water surface gravity wave spectrum is governed by quartet resonant and quasi-resonant interactions. However, it has also been reported in both experimental and computational studies that…

Fluid Dynamics · Physics 2025-04-09 Zhou Zhang , Yulin Pan

We investigate the dynamic transition of quantum turbulence (QT) in a confined potential field as the system evolves from purely two-dimensional (2D) to quasi-two-dimensional, and ultimately to three-dimensional (3D), by fixing the lateral…

Quantum Gases · Physics 2025-03-10 Weican Yang , Xin Wang , Makoto Tsubota

The scale-invariant inverse energy cascade is a hallmark of 2D turbulence, with its theoretical energy spectrum observed in both direct numerical simulations (DNS) and laboratory experiments. Under this scale-invariance assumption, the…

Fluid Dynamics · Physics 2025-03-20 Julie Meunier , Basile Gallet

The ocean and the atmosphere, and hence the climate, are governed at large scale by interactions between pressure gradient, Coriolis and buoyancy forces. This leads to a quasi-geostrophic balance in which, in a two-dimensional-like fashion,…

Fluid Dynamics · Physics 2015-06-17 A. Pouquet , R. Marino

The transfer of kinetic energy from large to small scales is a hallmark of turbulent flows. Yet, a precise mechanistic description of this transfer, which is expected to occur via an energy cascade, is still missing. Several conceptually…

In two dimensional turbulence, vortex thinning process is one of the attractive mechanism to explain inverse energy cascade in terms of vortex dynamics. By direct numerical simulation to the two-dimensional Navier-Stokes equations with…

Analysis of PDEs · Mathematics 2016-09-02 Tsuyoshi Yoneda

Understanding turbulence is the key to our comprehension of many natural and technological flow processes. At the heart of this phenomenon lies its intricate multi-scale nature, describing the coupling between different-sized eddies in…

Shell models allow much greater scale separations than those presently achievable with direct numerical simulations of the Navier-Stokes equations. Consequently, they are an invaluable tool for testing new concepts and ideas in the theory…

Fluid Dynamics · Physics 2024-12-11 John D. Gibbon , Dario Vincenzi