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Shell model for rotating turbulence.

Y Hattori1, R Rubinstein, A Ishizawa

  • 1Division of Computer Aided Science, Kyushu Institute of Technology, Tobata, Kitakyushu 804-8550, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 17, 2004
PubMed
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This study introduces a modified shell model for rotating turbulence, finding that increased rotation changes the energy spectrum exponent. Numerical simulations and weak turbulence theory explain this phenomenon in fluid dynamics.

Area of Science:

  • * Physics
  • * Fluid Dynamics
  • * Turbulence

Background:

  • * Understanding the behavior of rotating turbulence is crucial in various fields, including astrophysics and geophysics.
  • * Existing models may not fully capture the complex effects of rotation on turbulent flows.
  • * The energy spectrum in turbulent flows describes how energy is distributed across different scales.

Purpose of the Study:

  • * To propose a modified shell model that incorporates the effects of rotation on turbulence.
  • * To investigate the impact of randomization in modeling rotational effects.
  • * To analyze the changes in the energy spectrum of rotating turbulence.

Main Methods:

  • * Development of a modified shell model including a randomized linear term to represent rotation.

Related Experiment Videos

  • * Conducting numerical simulations to observe the behavior of rotating turbulence.
  • * Applying weak turbulence theory to explain the observed spectral changes.

    • Main Results:

    • * The exponent of the energy spectrum in the inertial range shifts from -5/3 to -2 as the rotation rate increases.
    • * Randomization was found to be essential for accurately modeling the effect of rotation.
    • * Numerical results align with predictions from weak turbulence theory.

    Conclusions:

    • * The proposed modified shell model effectively captures the influence of rotation on turbulence.
    • * The observed spectral exponent change is a direct consequence of increased rotation.
    • * The study provides a theoretical and numerical framework for understanding rotating turbulence.