# Turbulence Statistics in a Two-Dimensional Vortex Condensate.

@article{Frishman2018TurbulenceSI, title={Turbulence Statistics in a Two-Dimensional Vortex Condensate.}, author={Anna Frishman and Corentin Herbert}, journal={Physical review letters}, year={2018}, volume={120 20}, pages={ 204505 } }

Disentangling the evolution of a coherent mean-flow and turbulent fluctuations, interacting through the nonlinearity of the Navier-Stokes equations, is a central issue in fluid mechanics. It affects a wide range of flows, such as planetary atmospheres, plasmas, or wall-bounded flows, and hampers turbulence models. We consider the special case of a two-dimensional flow in a periodic box, for which the mean flow, a pair of box-size vortices called "condensate," emerges from turbulence. As was…

## 18 Citations

### Waves in a coherent two-dimensional flow

- PhysicsPhysics of Fluids
- 2021

A condensate in two-dimensional turbulence confined to a finite domain was predicted by Kraichnan. The most common spatial form of the condensate is a coherent vortex of radius comparable with the…

### Is spontaneous generation of coherent baroclinic flows possible?

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- 2019

Geophysical turbulence is observed to self-organize into large-scale flows such as zonal jets and coherent vortices. Previous studies of barotropic $\unicode[STIX]{x1D6FD}$ -plane turbulence have…

### Condensate in quasi-two-dimensional turbulence

- PhysicsPhysical Review Fluids
- 2019

We investigate the process of formation of large-scale structures in a turbulent flow confined in a thin layer. By means of direct numerical simulations of the Navier-Stokes equations, forced at an…

### FLUIDS 4 , 022602 ( R ) ( 2019 ) Rapid Communications Condensate in quasi-two-dimensional turbulence

- Physics
- 2019

We investigate the process of formation of large-scale structures in a turbulent flow confined in a thin layer. By means of direct numerical simulations of the Navier-Stokes equations, forced at an…

### Statistical State Dynamics of Weak Jets in Barotropic Beta-Plane Turbulence

- PhysicsJournal of the Atmospheric Sciences
- 2019

Zonal jets in a barotropic setup emerge out of homogeneous turbulence through a flow-forming instability of the homogeneous turbulent state (zonostrophic instability), which occurs as the…

### Is spontaneous generation of baroclinic flows possible

- Physics, Environmental Science
- 2017

Large-scale flows in the gaseous planets lacking a strong mean meridional thermal gradient are believed to be sustained by thermally driven small scale turbulence. In this work self-organization of…

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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…

### Condensates in thin-layer turbulence

- PhysicsJournal of Fluid Mechanics
- 2019

We examine the steady state of turbulent flows in thin layers using direct numerical simulations. It is shown that when the layer thickness is smaller than a critical height, an inverse cascade…

### Coherent vortex in two-dimensional turbulence: Interplay of viscosity and bottom friction.

- PhysicsPhysical review. E
- 2020

It is shown that coherent vortices appearing as a result of the inverse cascade of two-dimensional turbulence in a finite box in the case of pumping with arbitrary correlation time in the quasilinear regime depends on the ratio between the values of the bottom friction coefficient α and the viscous damping of the flow fluctuations at the pumping scale νk_{f}^{2}.

### Irreversible energy extraction from negative temperature two-dimensional turbulence

- Physics
- 2022

The formation and transition of patterns observed in various geophysical turbulent ﬂows are commonly explained in terms of statistical mechanics. This study aims to extend the range of such a…

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