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Related Experiment Videos

Multiscale correlation functions in strong turbulence

Davoudi1, Reza Rahimi Tabar M

  • 1Max-Planck-Institute fur Physik Komplexer Systeme, Nothinitzer Strasse 38, D-01187 Dresden, Germany and Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Hard-core yukawa model for charge-stabilized colloids

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsยท2000
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This study models intermittent structure functions in fully developed turbulence using a Markovian cascade framework. Analytical calculations confirm fusion rules compatible with uncorrelated multiplicative processes in turbulent systems.

Area of Science:

  • Fluid dynamics
  • Statistical physics
  • Turbulence research

Background:

  • Turbulence cascades exhibit Markovian properties, supported by experimental evidence.
  • Intermittent structure functions are key to understanding turbulent phenomena.
  • Previous research suggests fusion rules align with uncorrelated multiplicative processes.

Purpose of the Study:

  • To model intermittent structure functions in fully developed turbulence.
  • To calculate multiscaling correlation functions within a Markovian framework.
  • To analytically verify fusion rules using direct calculations.

Main Methods:

  • Utilizing the Yakhot framework for turbulence modeling.
  • Incorporating the experimentally supported Markovian nature of turbulence cascades.

Related Experiment Videos

  • Applying direct analytical calculations to check fusion rules.

    • Main Results:

    • Successful modeling of intermittent structure functions.
    • Calculation of multiscaling correlation functions.
    • Analytical confirmation of fusion rules' compatibility with uncorrelated multiplicative processes.

    Conclusions:

    • The Markovian nature of turbulence cascades provides a valid framework for modeling intermittency.
    • Direct calculations support the compatibility of fusion rules with uncorrelated multiplicative processes.
    • This work advances the understanding of multiscaling in turbulent systems.