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Planetary turbulence is observed to self-organize into large-scale structures such as zonal jets and coherent vortices. One of the simplest models that retains the relevant dynamics of turbulent self-organization is a barotropic flow in a…

Atmospheric and Oceanic Physics · Physics 2015-01-22 Nikolaos A. Bakas , Petros J. Ioannou

Geophysical turbulence is observed to self-organize into large-scale flows such as zonal jets and coherent vortices. Previous studies on barotropic beta-plane turbulence have shown that coherent flows emerge out of a background of…

Atmospheric and Oceanic Physics · Physics 2018-06-15 Nikolaos A. Bakas , Petros J. Ioannou

The quasi-coherent effects in two-dimensional incompressible turbulence are analyzed starting from the test particle trajectories. They can acquire coherent aspects when the stochastic potential has slow time variation and the motion is not…

Plasma Physics · Physics 2017-04-05 M. Vlad , F. Spineanu

In wall-bounded parallel flows, sustained turbulence can occur even while laminar flow is still stable. Channel flow is one of such flows and displays spatio-temporal fluctuating patterns of localized turbulence along its way from/to…

Fluid Dynamics · Physics 2019-12-03 Masaki Shimizu , Paul Manneville

The problem of low Reynolds number turbulence in active nematic fluids is theoretically addressed. Using numerical simulations I demonstrate that an incompressible turbulent flow, in two-dimensional active nematics, consists of an ensemble…

Soft Condensed Matter · Physics 2015-08-04 Luca Giomi

Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

Surface buoyancy gradients over a quasigeostrophic fluid permit the existence of surface-trapped Rossby waves. The interplay of these Rossby waves with surface quasigeostrophic turbulence results in latitudinally inhomogeneous mixing that,…

Fluid Dynamics · Physics 2023-05-17 Houssam Yassin

In the context of subaqueous ripple and dune formation, we present here a Reynolds averaged calculation of the turbulent flow over a topography. We perform a weakly non-linear expansion of the velocity field, sufficiently accurate to…

Soft Condensed Matter · Physics 2008-11-14 A. Fourrière , P. Claudin , B. Andreotti

A mathematical model that governs turbulent flows through permeable media is considered in this work. The model under consideration is based on a double-averaging concept which in turn is described by the time-averaging technique…

Analysis of PDEs · Mathematics 2024-03-26 Hermenegildo Borges de Oliveira

In systems governing two-dimensional turbulence, surface quasi-geostrophic turbulence, (more generally $\alpha$-turbulence), two-layer quasi-geostrophic turbulence, etc., there often exist two conservative quadratic quantities, one…

Chaotic Dynamics · Physics 2010-08-26 Eleftherios Gkioulekas , Ka Kit Tung

Two-dimensional (2D) turbulence, despite being an idealization of real flows, is of fundamental interest as a model of the spontaneous emergence of order from chaotic flows. The emergence of order often displays critical behavior, whose…

Fluid Dynamics · Physics 2025-03-21 Filip Novotný , Marek Talíř , Šimon Midlik , Emil Varga

Non-stationarity is the rule in the atmospheric boundary layer (ABL). Under such conditions, the flow may experience departures from equilibrium with the underlying surface stress, misalignment of shear stresses and strain rates, and…

Fluid Dynamics · Physics 2023-07-27 Weiyi Li , Marco G. Giometto

We demonstrate that turbulent zonal jets, analogous to Jovian ones, which are quasi-stationary, are actually metastable. After extremely long times, they randomly switch to new configurations with a different number of jets. The genericity…

Atmospheric and Oceanic Physics · Physics 2021-06-07 Eric Simonnet , Joran Rolland , Freddy Bouchet

Many natural and engineering systems involve the mixing of two fluid streams, in which the effects of density and viscosity gradients play important roles in determining flow stability. We perform linear stability calculations for a jet…

Fluid Dynamics · Physics 2023-02-08 Jinwei Yang , Vinod Srinivasan

Turbulence sustains out-of-equilibrium energy fluxes shaped by conservation laws. Three-dimensional flows conserve energy and sign-indefinite helicity, both being transferred to small scales. Yet in 3D rotating turbulence, energy is…

Fluid Dynamics · Physics 2026-02-24 Sébastien Gomé , Anna Frishman

We analyse the anisotropy of homogeneous turbulence in an electrically conducting fluid submitted to a uniform magnetic field, for low magnetic Reynolds number, in the quasi- static approximation. We interpret disagreeing previous…

Fluid Dynamics · Physics 2012-07-23 B. F. N. Favier , F. S. Godeferd , C. Cambon , A. Delache , W. J. T. Bos

In order to characterize the global circulation of the subsurface ocean of Jovian and Saturnian moons, we analyze the properties of 21 three-dimensional simulations of Boussinesq thermal convection in a rapidly rotating spherical shell.…

Fluid Dynamics · Physics 2024-03-12 S. Cabanes , T. Gastine , A. Fournier

The possibility of subcritical behaviour in the geostrophic turbulence regime of rapidly rotating thermally driven convection is explored. In this regime a non-local inverse energy transfer may compete with the more traditional and local…

Fluid Dynamics · Physics 2019-02-20 Benjamin Favier , Céline Guervilly , Edgar Knobloch

We propose a new application of random tensor theory to studies of non-linear random flows in many variables. Our focus is on non-linear resonant systems which often emerge as weakly non-linear approximations to problems whose linearized…

Mathematical Physics · Physics 2020-03-12 Stéphane Dartois , Oleg Evnin , Luca Lionni , Vincent Rivasseau , Guillaume Valette

The inviscid multi-layer quasi-geostrophic equations are considered over an arbitrary bounded domain. The no-flux but non-homogeneous boundary conditions are imposed to accommodate the free fluctuations of the top and layer interfaces.…

Analysis of PDEs · Mathematics 2019-03-29 Qingshan Chen