Intermittency and self-organization in turbulent flows

Eun Jin Kim, Han Li Liu, Johan Anderson

Research output: Contribution to journalConference articlepeer-review

1 Citation (Scopus)


We present a statistical theory of self-organization of shear flows, modeled by a nonlinear diffusion equation with a stochastic forcing. A non-perturbative method based on a coherent structure is utilized for the prediction of probability distribution functions (PDFs), showing strong intermittency with exponential tails. We confirm these results by numerical simulations. Furthermore, the results reveal a significant probability of super-critical states due to stochastic perturbation. To elucidate the crucial role of relative time scales of relaxation and disturbance in the determination of PDFs, we present numerical simulation results obtained in a threshold model where the diffusion is given by discontinuous values. Our results highlight the importance of a statistical description of gradients.

Original languageEnglish
Article number014053
JournalPhysica Scripta T
Issue numberT142
Publication statusPublished - 31 Dec 2010
Externally publishedYes
Event2nd International Conference and Advanced School on Turbulent Mixing and Beyond, TMB-2009 - Trieste, Italy
Duration: 27 Jul 20097 Aug 2009

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)


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