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In this paper we present numerical simulations of rapidly-rotating Rayleigh-B\'enard convection in the Boussinesq approximation with stress-free boundary conditions. At moderately low Rossby number and large Rayleigh number, we show that a…

流体动力学 · 物理学 2015-06-22 B. Favier , L. J. Silvers , M. R. E. Proctor

As a minimal mathematical model generating cascade analogous to that of the Navier-Stokes turbulence in the inertial range, we propose a one-dimensional partial-differential-equation model that conserves the integral of the squared…

混沌动力学 · 物理学 2016-05-11 Takeshi Matsumoto , Takashi Sakajo

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,…

Rigorous estimates for the total - (kinetic) energy plus pressure - flux in R^3 are obtained from the three dimensional Navier-Stokes equations. The bounds are used to establish a condition - involving Taylor length scale and the size of…

偏微分方程分析 · 数学 2015-05-27 R. Dascaliuc , Z. Grujic

In hydrodynamic (HD) turbulence an exact decomposition of the energy flux across scales has been derived that identifies the contributions associated with vortex stretching and strain self-amplification (P. Johnson, Phys. Rev. Lett., 124,…

流体动力学 · 物理学 2024-02-16 D. Capocci , P. Johnson , S. Oughton , L. Biferale , M. Linkmann

We investigate the kinetic energy cascade in zero-temperature quantum turbulence. Using simple theoretical arguments and unprecedented numerical simulations, we unveil an universal mechanism transferring energy directly from large to very…

流体动力学 · 物理学 2026-03-24 Elliot Bes , Guillaume Balarac , Juan Ignacio Polanco

We present experimental results on turbulence generated in thin fluid layers in the presence of a large-scale coherent flow, or a spectral condensate. It is shown that the condensate modifies the third-order velocity moment in a much wider…

流体动力学 · 物理学 2008-11-07 H. Xia , H. Punzmann , G. Falkovich , M. G. Shats

The nature of the turbulent energy transfer rate is studied using direct numerical simulations of weakly collisional space plasmas. This is done comparing results obtained from hybrid Vlasov-Maxwell simulations of colissionless plasmas,…

The Boussinesq approximation is a cornerstone of geophysical fluid dynamics, yet its thermodynamic and energetic underpinnings have remained ambiguous. In standard formulations, the links with the fully compressible Navier--Stokes equations…

流体动力学 · 物理学 2025-12-23 R. Tailleux , T. Dubos , B. J. Hatton

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…

等离子体物理 · 物理学 2025-10-27 Wence Jiang , Hui Li , Nahuel Andrés , Lina Hadid , Daniel Verscharen , Chi Wang

We report evidence for an enstrophy cascade in large-scale point-vortex simulations of decaying two-dimensional quantum turbulence. Devising a method to generate quantum vortex configurations with kinetic energy narrowly localized near a…

量子气体 · 物理学 2017-11-08 M. T. Reeves , T. P. Billam , X. Yu , A. S. Bradley

Data available in literature from direct numerical simulations of two-dimensional turbulent channels by Lee & Moser (2015), Bernardini et al. (2014), Yamamoto and Tsuji (2018) and Orlandi et al. (2015) in a large range of Reynolds number…

流体动力学 · 物理学 2019-01-08 Paolo Orlandi

Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose…

流体动力学 · 物理学 2021-08-04 Javier Jiménez

We analyze analytically and numerically the scale invariant stationary solution to the internal wave kinetic equation. Our analysis of the resonant energy transfers shows that the leading order contributions are given (i) by triads with…

流体动力学 · 物理学 2021-04-01 Giovanni Dematteis , Yuri V. Lvov

We study wave turbulence in shallow water flows in numerical simulations using two different approximations: the shallow water model, and the Boussinesq model with weak dispersion. The equations for both models were solved using periodic…

流体动力学 · 物理学 2015-06-17 P. Clark di Leoni , P. J. Cobelli , P. D. Mininni

An inverse cascade - energy transfer to progressively larger scales - is a salient feature of two-dimensional turbulence. If the cascade reaches the system scale, it creates a coherent flow expected to have the largest available scale and…

混沌动力学 · 物理学 2017-04-05 Anna Frishman , Jason Laurie , Gregory Falkovich

A wide range of natural and engineered fluid flows exhibit spatial or temporal viscosity variations, spanning scales from microbial locomotion to planetary mantle convection. These variations introduce qualitatively new physical mechanisms…

流体动力学 · 物理学 2025-08-01 Arjun Sharma , Ritabrata Thakur , Sharath Jose , Rama Govindarajan

Recent experimental studies have shown that particle transfer across streamlines can be controlled passively using stratified flows of co-flowing streams at a finite Reynolds number. The stratification modifies the forces acting on…

流体动力学 · 物理学 2020-10-28 T. Krishnaveni , T. Renganathan , S. Pushpavanam

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…

流体动力学 · 物理学 2016-11-23 Christophe Josserand , Martine Le Berre , Thierry Lehner , Yves Pomeau

We investigate the turbulence below a quasi-flat free surface, focusing on the energy transport in space and across scales. We leverage a large zero-mean-flow tank where homogeneous turbulence is generated by randomly actuated jets. A wide…

流体动力学 · 物理学 2024-12-18 Daniel J. Ruth , Filippo Coletti