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Dimensional transition in rotating turbulence.

E Deusebio1, G Boffetta2, E Lindborg3

  • 1DAMTP, Centre for Mathematical Sciences, Willbeforce Road, Cambridge CB3 0WA, United Kingdom and LinnĂ© Flow Centre, Department of Mechanics, Royal Institute of Technology, 10044 Stockholm, Sweden.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 13, 2014
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Summary
This summary is machine-generated.

Rotation enhances the bidimensionalization of turbulent flows by strengthening the inverse cascade. However, larger vertical domains can diminish this effect, suggesting the inverse cascade may disappear in certain conditions.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Studies
  • Nonlinear Dynamics

Background:

  • Turbulent flows exhibit complex energy transfer across scales.
  • Rotation is known to influence fluid dynamics, but its effect on turbulence bidimensionalization requires further investigation.
  • The "split cascade" model describes energy transfer to both small (direct cascade) and large (inverse cascade) scales.

Purpose of the Study:

  • To investigate the impact of rotation on the bidimensionalization of turbulent flows.
  • To analyze how rotation affects the direct and inverse energy cascades.
  • To understand the influence of domain size and confinement on rotation-induced effects in turbulent flows.

Main Methods:

  • Direct numerical hyperviscous simulations were employed.
  • A two-dimensional forcing was applied to a thin fluid layer.
  • Analysis focused on energy flux, enstrophy production, and symmetry breaking.

Main Results:

  • Rotation was found to reinforce the inverse cascade while suppressing the direct cascade, promoting flow bidimensionalization.
  • Enstrophy production at large scales was suppressed by rotation.
  • Increasing the vertical domain size reduced the inverse cascade flux, even in rotating flows.

Conclusions:

  • Rotation plays a significant role in promoting bidimensionality in turbulent flows.
  • The inverse cascade's persistence is dependent on the vertical scale relative to the forcing scale.
  • Rotation-induced symmetry breaking and the split cascade are influenced by confinement effects.