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The elliptical instability of a rotating stratified fluid is examined in the regime of small Rossby number and order-one Burger number corresponding to rapid rotation and strong stratification. The Floquet problem describing the linear…

Fluid Dynamics · Physics 2009-02-23 Jonathan M Aspden , Jacques Vanneste

The new mode of instability found by Tunney et al. is studied with viscous stability theory in this article. When the high-speed boundary layer is subject to certain values of favorable pressure gradient and wall heating, a new mode becomes…

Fluid Dynamics · Physics 2020-05-14 Jie Ren , Youcheng Xi , Song Fu

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

The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the…

Fluid Dynamics · Physics 2025-09-01 Nicolas Lanchon , Samuel Boury , Pierre-Philippe Cortet

The velocity fluctuations in a spherical shell arising from sinusoidal perturbations of a Keplerian shear flow with a free amplitude parameter \epsilon are studied numerically by means of fully 3D nonlinear simulations. The investigations…

Astrophysics · Physics 2009-11-06 G. Rudiger , A. Drecker

We present the first demonstration of the negative effective magnetic pressure instability in direct numerical simulations of stably stratified, externally forced, isothermal hydromagnetic turbulence in the regime of large plasma beta. By…

Solar and Stellar Astrophysics · Physics 2011-10-05 Axel Brandenburg , Koen Kemel , Nathan Kleeorin , Dhrubaditya Mitra , Igor Rogachevskii

We discuss the possibility that astrophysical accretion disks are dynamically unstable to non-axisymmetric disturbances with characteristic scales much smaller than the vertical scale height. The instability is studied using three methods:…

Astrophysics · Physics 2009-11-10 B. Dubrulle , L. Marié , Ch. Normand , D. Richard , F. Hersant , J. -P. Zahn

Helicity transfer in a shell model of turbulence is investigated. We show that a Reynolds-independent helicity flux is present in the model when the large scale forcing breaks inversion symmetry. The equivalent in Shell Models of the ``2/15…

chao-dyn · Physics 2009-10-30 L. Biferale , D. Pierotti , F. Toschi

Turbulence is a widely observed state of fluid flows, characterized by complex, nonlinear interactions between motions across a broad spectrum of length and time scales. While turbulence is ubiquitous, from teacups to planetary atmospheres,…

Fluid Dynamics · Physics 2025-01-28 Adrian van Kan

This article presents a numerical analysis of the instability developing in horizontally sheared Poiseuille flow, when stratification extends along the vertical direction. Our study builds up on the previous work that originally detected…

Fluid Dynamics · Physics 2023-05-31 Joris Labarbe , Patrice Le Gal , Uwe Harlander , Stéphane Le Dizès , Benjamin Favier

In this paper we characterize the scaling of energy spectra, and the interscale transfer of energy and enstrophy, for strongly, moderately and weakly stably stratified two-dimensional (2D) turbulence under large-scale random forcing. In the…

Fluid Dynamics · Physics 2017-04-05 Abhishek Kumar , Mahendra K. Verma , Jai Sukhatmae

The stability of shear flows of electrically conducting fluids, with respect to finite amplitude three-dimensional localized disturbances is considered. The time evolution of the fluid impulse integral, characterizing such disturbances, for…

Fluid Dynamics · Physics 2016-09-08 V. Levinski , I. Rapoport , J. Cohen

The possibility that the magnetic shear-flow instability (MRI, Balbus-Hawley instability) might give rise to turbulence in a cylindric Couette flow is investigated through numerical simulations. The study is linear and the fluid flow is…

Astrophysics · Physics 2009-11-06 G. Rüdiger , Y. Zhang

A flow generator is described in which homogeneous axisymmetric turbulent air flows with varying and fully controllable degrees of anisotropy, including the much studied isotropic case, are generated by the combined agitations produced by…

Fluid Dynamics · Physics 2012-02-01 Kelken Chang

The chaotic dynamics of small-scale vorticity plays a key role in understanding and controlling turbulence, with direct implications for energy transfer, mixing, and coherent structure evolution. However, measuring or controlling its…

In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with an constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational…

General Mathematics · Mathematics 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

We derive and test a new heuristic theory for third-order structure functions that resolve the forcing scale in the scenario of simultaneous spectral energy transfer to both small and large scales, which can occur naturally in rotating…

Fluid Dynamics · Physics 2019-10-02 Jin-Han Xie , Oliver Buhler

Randomly-forced fluid flow in the presence of scale-unselective dissipation develops mean currents following topographic contours. Known mechanisms based on the scale-selective action of damping processes are not at work in this situation.…

chao-dyn · Physics 2009-10-31 A. Alvarez , E. Hernandez-Garcia , J. Tintore

We investigate the linear stability of a flat interface that separates a liquid layer from a fully-developed turbulent gas flow. In this context, linear-stability analysis involves the study of the dynamics of a small-amplitude wave on the…

Fluid Dynamics · Physics 2009-08-13 L. Ó Náraigh , P. Spelt , O. Matar , T. Zaki

We study the statistics of free-surface turbulence at large Reynolds numbers produced by direct numerical simulations in a fluid layer at different thickness with fixed characteristic forcing scale. We observe the production of a transient…

Fluid Dynamics · Physics 2022-12-12 G. Boffetta , A. Mazzino , S. Musacchio , M. E. Rosti