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Statistical geometry in scalar turbulence.

A Celani1, M Vergassola

  • 1CNRS, Observatoire de la Côte d'Azur, B.P. 4229, 06304 Nice Cedex 4, France.

Physical Review Letters
|February 15, 2001
PubMed
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Geometry influences intermittency in passive scalar turbulence. Special functions of particle configurations, statistically constant along trajectories, explain this link and imply particle persistence in clustered geometries.

Area of Science:

  • Fluid dynamics
  • Turbulence theory
  • Statistical physics

Background:

  • Passive scalar turbulence exhibits intermittency, a phenomenon characterized by intermittent bursts of activity.
  • Understanding the underlying mechanisms of intermittency is crucial for advancing turbulence theory.

Purpose of the Study:

  • To establish a general link between geometry and intermittency in passive scalar turbulence.
  • To identify the key factors governing anomalous scalar correlation functions.

Main Methods:

  • Analysis of scalar correlation functions in turbulent flows.
  • Investigation of special functions describing particle configurations.
  • Examination of statistical properties along particle trajectories.

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Main Results:

  • A direct relationship between geometric properties and intermittency was established.
  • Anomalous scalar correlation functions are dominated by specific functions of particle configurations.
  • These functions exhibit statistical constancy along particle trajectories, indicating conservation laws.

Conclusions:

  • The identified conservation laws qualitatively imply the persistence of scalar particles.
  • This persistence is linked to strongly clustered geometries within the turbulent flow.
  • The findings offer new insights into the geometric control of turbulent scalar transport.