Chaos and information in two dimensional turbulence

Daniel Clark, Lukas Tarra, Arjun Berera

Research output: Contribution to journalArticlepeer-review

Abstract

By performing a large number of fully resolved simulations of incompressible homogeneous and isotropic two dimensional turbulence, we study the scaling behavior of the maximal Lyapunov exponent, the Kolmogorov-Sinai entropy and attractor dimension. The scaling of the maximal Lyapunov exponent is found to be in good agreement with the dimensional predictions. For the cases of the Kolmogorov-Sinai entropy and attractor dimension the simple dimensional predictions are found to be insufficient. A dependence on the system size and the forcing length scale is found, suggesting non-universal behavior. The applicability of these results to atmospheric predictability is also discussed.
Original languageEnglish
Article number064608
JournalPhysical Review Fluids
Volume5
Issue number6
DOIs
Publication statusPublished - 16 Jun 2020

Keywords

  • physics.flu-dyn
  • cond-mat.other
  • nlin.CD

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