Dynamics of saturated energy condensation in two-dimensional turbulence

Chi Kwan Chan, Dhrubaditya Mitra, Axel Brandenburg

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

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.

Original languageEnglish (US)
Article number036315
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number3
DOIs
StatePublished - Mar 28 2012
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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