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We consider analytically pair structure function of turbulent pulsations on the background of a coherent geostrophic vortex in a fast rotating fluid. The statistics of the turbulent pulsation is determined by their dynamics which is the…

Fluid Dynamics · Physics 2021-12-14 Leon L. Ogorodnikov , Sergey S. Vergeles

We study the transition from fluid at rest to turbulence in a rotating water cylinder. We show that the energy, injected at a given height, is transported by inertial wave packets through the fluid volume. These waves propagate at…

Fluid Dynamics · Physics 2009-11-13 Itamar Kolvin , Kobi Cohen , Yuval Vardi , Eran Sharon

Recent developments in turbulence are focused on the effect of large scale anisotropy on the small scale statistics of velocity increments. According to Kolmogorov, isotropy is recovered in the large Reynolds number limit as the scale is…

Chaotic Dynamics · Physics 2009-11-11 C. M. Casciola , P. Gualtieri , B. Jacob , R. Piva

Motivated by interest in the geometry of high intensity events of turbulent flows, we examine spatial correlation functions of sets where turbulent events are particularly intense. These sets are defined using indicator functions on…

Fluid Dynamics · Physics 2018-04-04 José Hugo Elsas , Alexander S. Szalay , Charles Meneveau

The interaction between deformable surfaces and oscillatory driving is known to yield complex secondary time-averaged flows due to inertial and elastic nonlinearities. Here, we revisit the problem of oscillatory flow in a cylindrical tube…

Fluid Dynamics · Physics 2024-11-20 Xirui Zhang , Bhargav Rallabandi

In turbulence, for neutral or conducting fluids, a large ratio of scales is excited because of the possible occurrence of inverse cascades to large, global scales together with direct cascades to small, dissipative scales, as observed in…

Fluid Dynamics · Physics 2020-02-03 Annick Pouquet , Julia E. Stawarz , Duane Rosenberg

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 derive exact scaling relations for two-dimensional relativistic hydrodynamic turbulence in the inertial range of scales. We consider both the energy cascade towards large scales and the enstrophy cascade towards small scales. We…

High Energy Physics - Theory · Physics 2016-01-27 John Ryan Westernacher-Schneider , Luis Lehner , Yaron Oz

Direct numerical simulations of homogeneous decaying turbulence with mild background rotation show the existence of a systematic and significant imbalance between the non-linear energy cascade to small scales and its dissipation. By…

Fluid Dynamics · Physics 2017-03-01 Pedro C. Valente , Vassilios Dallas

A decomposition of the energy and helicity fluxes in a turbulent hydrodynamic flow is proposed. The decomposition is based on the projection of the flow to a helical basis that allows to investigate separately the role of interactions among…

Fluid Dynamics · Physics 2017-03-08 Alexandros Alexakis

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

Non-conformal attractor behavior is studied by solving non-conformal second order viscous hydrodynamics with respect to boost-invariant plasmas. Numerical solutions of the relative decay rate of the enthalpy density, the inverse shear and…

Nuclear Theory · Physics 2022-03-14 Zenan Chen , Li Yan

In this paper, we study the three-dimensional non-isentropic compressible fluid-particle flows. The system involves coupling between the Vlasov-Fokker-Planck equation and the non-isentropic compressible Navier-Stokes equations through…

Analysis of PDEs · Mathematics 2019-04-18 Yanmin Mu , Dehua Wang

The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and…

Fluid Dynamics · Physics 2015-06-23 P. Clark di Leoni , P. D. Mininni

In recent works, we proposed a hypothesis, according to which turbulence in gases is created by the mean field effect of an intermolecular potential. We discovered that, in a numerically simulated inertial flow, turbulent solutions indeed…

Fluid Dynamics · Physics 2023-10-18 Rafail V. Abramov

Inertial particles suspended in many natural and industrial flows undergo coagulation upon collisions and fragmentation if their size becomes too large or if they experience large shear. Here we study this coagulation-fragmentation process…

Chaotic Dynamics · Physics 2009-08-20 Jens C. Zahnow , Rafael D. Vilela , Ulrike Feudel , Tamás Tél

Though highly impacting our lives, rotating turbulent flows are not well understood. These anisotropic three-dimensional disordered flows are governed by different nonlinear processes, each of which can be dominant in a different range of…

Fluid Dynamics · Physics 2026-05-19 Omri Shaltiel , Omri Gat , Eran Sharon

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains…

High Energy Physics - Theory · Physics 2010-01-22 Paul Romatschke

The conventional approach to the turbulent energy cascade, based on Richardson-Kolmogorov phenomenology, ignores the topology of emerging vortices, which is related to the helicity of the turbulent flow. It is generally believed that…

Fluid Dynamics · Physics 2015-12-09 Rodion Stepanov , Ephim Golbraikh , Peter Frick , Alexander Shestakov

By using direct numerical simulations of up to a record resolution of 512x512x32768 grid points we discover the existence of a new metastable out-of-equilibrium state in rotating turbulence. We scan the phase space by varying both the…

Fluid Dynamics · Physics 2020-10-21 P. Clark Di Leoni , A. Alexakis , L. Biferale , M. Buzzicotti