Large-scale intermittency and rare events boosted at dimensional crossover in anisotropic turbulence

Keiko Takahashi, Koji Goto, Ryo Onishi, Masatoshi Imada

Research output: Contribution to journalArticle

Abstract

Understanding rare events in turbulence provides a basis for the science of extreme weather, for which the atmosphere is modeled by Navier-Stokes equations (NSEs). In solutions of NSEs for isotropic fluids, various quantities, such as fluid velocities, roughly follow Gaussian distributions, where extreme events are prominent only in small-scale quantities associated with the dissipation-dominating length scale or anomalous scaling regime. Using numerical simulations, this study reveals another universal promotion mechanism at much larger scales if three-dimensional fluids accompany strong two-dimensional anisotropies, as is the case in the atmosphere. The dimensional crossover between two and three dimensions generates prominent fat-tailed non-Gaussian distributions with intermittency accompanied by colossal chainlike structures with densely populated self-organized vortices (serpentinely organized vortices). The promotion is caused by a sudden increase of the available phase space at the crossover length scale. Since the discovered intermittency can involve much larger energies than those in the conventional intermittency in small spatial scales, it governs extreme events and chaotic unpredictability in the synoptic weather system.

Original languageEnglish
Article number124607
JournalPhysical Review Fluids
Volume3
Issue number12
DOIs
Publication statusPublished - 2018 Dec 1
Externally publishedYes

Fingerprint

Rare Events
Intermittency
Crossover
Extreme Events
Turbulence
Fluid
Weather
Length Scale
Navier Stokes equations
Atmosphere
Fluids
Vortex
Navier-Stokes Equations
Vortex flow
Anomalous Scaling
Gaussian distribution
Oils and fats
Three-dimension
Anisotropy
Dissipation

ASJC Scopus subject areas

  • Computational Mechanics
  • Modelling and Simulation
  • Fluid Flow and Transfer Processes

Cite this

Large-scale intermittency and rare events boosted at dimensional crossover in anisotropic turbulence. / Takahashi, Keiko; Goto, Koji; Onishi, Ryo; Imada, Masatoshi.

In: Physical Review Fluids, Vol. 3, No. 12, 124607, 01.12.2018.

Research output: Contribution to journalArticle

Takahashi, Keiko ; Goto, Koji ; Onishi, Ryo ; Imada, Masatoshi. / Large-scale intermittency and rare events boosted at dimensional crossover in anisotropic turbulence. In: Physical Review Fluids. 2018 ; Vol. 3, No. 12.
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