Two-dimensional turbulence

G Boffetta, RE Ecke - Annual review of fluid mechanics, 2012 - annualreviews.org
In physical systems, a reduction in dimensionality often leads to exciting new phenomena.
Here we discuss the novel effects arising from the consideration of fluid turbulence confined …

Statistical mechanics of two-dimensional and geophysical flows

F Bouchet, A Venaille - Physics reports, 2012 - Elsevier
The theoretical study of the self-organization of two-dimensional and geophysical turbulent
flows is addressed based on statistical mechanics methods. This review is a self-contained …

Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence<? format?> in Superfluid Helium

AN Ganshin, VB Efimov, GV Kolmakov… - Physical review …, 2008 - APS
We report observation of an inverse energy cascade in second sound acoustic turbulence in
He ii. Its onset occurs above a critical driving energy and it is accompanied by giant waves …

Upscale energy transfer in thick turbulent fluid layers

H Xia, D Byrne, G Falkovich, M Shats - Nature Physics, 2011 - nature.com
Flows in natural fluid layers are often forced simultaneously at scales smaller and much
larger than the depth. For example, the Earth's atmospheric flows are powered by gradients …

Inverse energy cascade in forced two-dimensional quantum turbulence

MT Reeves, TP Billam, BP Anderson, AS Bradley - Physical review letters, 2013 - APS
We demonstrate an inverse energy cascade in a minimal model of forced 2D quantum
vortex turbulence. We simulate the Gross-Pitaevskii equation for a moving superfluid subject …

Upscale energy transfer in three-dimensional rapidly rotating turbulent convection

AM Rubio, K Julien, E Knobloch, JB Weiss - Physical review letters, 2014 - APS
Rotating Rayleigh-Bénard convection exhibits, in the limit of rapid rotation, a turbulent state
known as geostrophic turbulence. This state is present for sufficiently large Rayleigh …

Spectrally condensed turbulence in thin layers

H Xia, M Shats, G Falkovich - Physics of Fluids, 2009 - pubs.aip.org
We present experimental results on the properties of bounded turbulence in thin fluid layers.
In contrast with the theory of two-dimensional (2D) turbulence, the effects of the bottom …

Onsager-Kraichnan condensation in decaying two-dimensional quantum turbulence

TP Billam, MT Reeves, BP Anderson, AS Bradley - Physical review letters, 2014 - APS
Despite the prominence of Onsager's point-vortex model as a statistical description of 2D
classical turbulence, a first-principles development of the model for a realistic superfluid has …

Critical transitions in thin layer turbulence

SJ Benavides, A Alexakis - Journal of Fluid Mechanics, 2017 - cambridge.org
We investigate a model of thin layer turbulence that follows the evolution of the two-
dimensional motions along the horizontal directions coupled to a single Fourier mode along …

Random changes of flow topology in two-dimensional and geophysical turbulence

F Bouchet, E Simonnet - Physical review letters, 2009 - APS
We study the two-dimensional (2D) stochastic Navier-Stokes (SNS) equations in the inertial
limit of weak forcing and dissipation. The stationary measure is concentrated close to steady …