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Related Experiment Videos

Response maxima in modulated turbulence. II. Numerical simulations.

Anna von der Heydt1, Siegfried Grossmann, Detlef Lohse

  • 1Fachbereich Physik, Philipps-Universität Marburg, Renthof 6, 35032 Marburg, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 3, 2004
PubMed
Summary

Numerical simulations reveal that turbulent fluctuations significantly impact system response amplitude. While low frequencies show constant amplitude, high frequencies exhibit a 1/omega decay, with fluctuations washing out higher-order oscillations observed in mean-field theory.

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Area of Science:

  • Fluid dynamics
  • Computational physics
  • Statistical mechanics

Background:

  • Turbulence is a complex phenomenon characterized by chaotic fluid motion.
  • Understanding the energy transfer and response of turbulent systems is crucial.
  • Mean-field theories offer simplified models but often neglect fluctuations.

Purpose of the Study:

  • To investigate the frequency response of turbulent systems under modulated energy input.
  • To compare simulation results with predictions from a variable range mean-field theory.
  • To analyze the role of turbulent fluctuations in system dynamics.

Main Methods:

  • Numerical simulations using the Gledzer-Ohkitani-Yamada shell model.
  • Simulations employing a reduced wave vector set approximation of Navier-Stokes equations.

Related Experiment Videos

  • Comparison of simulation data with variable range mean-field theory predictions.

    • Main Results:

    • Simulations confirm constant response amplitude at low driving frequencies and a 1/omega decay at high frequencies, consistent with mean-field theory.
    • A primary maximum in response amplitude is observed in simulations.
    • Higher-order oscillations predicted by mean-field theory are suppressed by turbulent fluctuations.

    Conclusions:

    • Turbulent fluctuations play a significant role in shaping the frequency response of the system.
    • While mean-field theory captures some aspects, it fails to account for the damping of higher-order oscillations due to fluctuations.
    • The two simulation models exhibit different statistical properties of fluctuations, highlighting model-specific behaviors within turbulence.