PMID: 22587188May 17, 2012Paper

Dynamics of saturated energy condensation in two-dimensional turbulence

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Chi-kwan ChanAxel Brandenburg

Abstract

In two-dimensional forced Navier-Stokes turbulence, energy cascades to the largest scales in the system to form a pair of coherent vortices known as the Bose condensate. We show, both numerically and analytically, that the energy condensation saturates and the system reaches a statistically stationary state. The time scale of saturation is inversely proportional to the viscosity and the saturation energy level is determined by both the viscosity and the force. We further show that, without sufficient resolution to resolve the small-scale enstrophy spectrum, numerical simulations can give a spurious result for the saturation energy level. We also find that the movement of the condensate is similar to the motion of an inertial particle with an effective drag force. Furthermore, we show that the profile of the saturated coherent vortices can be described by a Gaussian core with exponential wings.

References

Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chuong V Tran, John C Bowman
Oct 13, 2007·Physical Review Letters·M ChertkovV Lebedev
Dec 31, 2008·Physical Review Letters·H XiaM G Shats
Mar 17, 2011·Physical Review Letters·Prasad PerlekarRahul Pandit

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Citations

Mar 15, 2020·Physical Review. E·Moritz LinkmannBruno Eckhardt
Feb 13, 2016·Physical Review. E·Kannabiran Seshasayanan, Alexandros Alexakis
Jan 3, 2015·Physical Review Letters·Jason LaurieVladimir Lebedev
Apr 29, 2014·Physical Review Letters·T P BillamA S Bradley
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debarghya Banerjee, Rahul Pandit

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