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Nonlocal interactions and condensation in forced rotating turbulence

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Advances in Turbulence XII

Part of the book series: Springer Proceedings in Physics ((volume 132))

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Abstract

The Rossby number, \(Ro = U/L2\Omega \), is the non-dimensional number characterizing rotating flows. Here U is the characteristic velocity, L the characteristic length scale, and \(2\Omega \) is the Coriolis parameter. When Ro → 0 the nonlinearity of the equations of motion becomes weak, and the theories of weak wave interactions apply. The normal modes of the flow can be decomposed into zero-frequency 2D large scale structures and inertial waves (3D).

Rotating turbulent flow experiments and simulations are known to generate large-scale two-dimensional (2D) columnar structures from initially isotropic turbulence. Decaying turbulence simulations show this generation to be dependent on Rossby number, with three distinct regimes appearing [1]. These are the weakly rotating Ro regime, for which the turbulent flow is essentially unaffected by rotation, the intermediate Ro range, characterized by a strong transfer of energy from the wave to the 2D modes (with a peak at around Ro 0.2), and the small Ro range for which the 2D modes receive less and less energy from the wave modes as Ro → 0.

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References

  1. L. Bourouiba and P. Bartello, J. Fluid Mech. 587, 139 (2007).

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  2. L. Smith and Y. Lee, J. Fluid Mech. 535, 111 (2005)

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  3. L. Bourouiba, Phys. Rev. E 78 056309 (2008).

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  4. L. Bourouiba, Numerical and Theoretical Study of Homogeneous Rotating Turbulence, PhD dissertation, McGill University, (2008).

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Correspondence to L. Bourouiba .

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© 2009 Springer-Verlag Berlin Heidelberg

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Bourouiba, L., Straub, D. (2009). Nonlocal interactions and condensation in forced rotating turbulence. In: Eckhardt, B. (eds) Advances in Turbulence XII. Springer Proceedings in Physics, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03085-7_100

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  • DOI: https://doi.org/10.1007/978-3-642-03085-7_100

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03084-0

  • Online ISBN: 978-3-642-03085-7

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