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Rotating turbulence under “precession-like” perturbation

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Abstract.

The effects of changing the orientation of the rotation axis on homogeneous turbulence is considered. We perform direct numerical simulations on a periodic box of 10243 grid points, where the orientation of the rotation axis is changed (a) at a fixed time instant (b) regularly at time intervals commensurate with the rotation time scale. The former is characterized by a dominant inverse energy cascade whereas in the latter, the inverse cascade is stymied due to the recurrent changes in the rotation axis resulting in a strong forward energy transfer and large-scale structures that resemble those of isotropic turbulence.

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References

  1. C. Cambon, N.N. Mansour, F.S. Godeferd, J. Fluid Mech. 227, 303 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  2. N.N. Mansour, T. Shih, W.C. Reynolds, Phys. Fluids 3, 2421 (1991)

    Article  ADS  MATH  Google Scholar 

  3. B. Saint-Michel, B. Dubrulle, L. Mari, F. Ravelet, F. Daviaud, New J. Phys. 16, 063037 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  4. S. Thalabard, B. Saint-Michel, E. Herbert, F. Daviaud, B. Dubrulle, New J. Phys. 17, 063006 (2015)

    Article  ADS  Google Scholar 

  5. A. Pouquet, P.D. Mininni, Philos. Trans. R. Soc. A 368, 1635 (2010)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. A. Sen, P.D. Mininni, D. Rosenberg, A. Pouquet, Phys. Rev. E 86, 036319 (2012)

    Article  ADS  Google Scholar 

  7. H. Xia, D. Byrne, G. Falkovich, M. Shats, Nat. Phys. 7, 321 (2011)

    Article  Google Scholar 

  8. S. Kida, J. Fluid Mech. 680, 150 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. S. Goto, N. Ishii, S. Kida, M. Nishioka, Phys. Fluids 19, 061705 (2007)

    Article  ADS  Google Scholar 

  10. W.V.R. Malkus, Science 160, 259 (1968)

    Article  ADS  Google Scholar 

  11. S. Goto, A. Matsunaga, M. Fujiwara, M. Nishioka, S. Kida, M. Yamato, M., S. Tsuda, Phys. Fluids 26, 055107 (2014)

    Article  ADS  Google Scholar 

  12. H.P. Greenspan, The Theory of Rotating Fluids, Cambridge Monographs on Mechanics and Applied Mathematics (Breukelen Press, 1990)

  13. C. Nore, J. Léorat, J.-L. Guermond, F. Luddens, J. Phys.: Conf. Ser. 318, 072034 (2011)

    ADS  Google Scholar 

  14. S.A. Triana, D.S. Zimmerman, D.P. Lathrop, J. Geophys. Res. 117, B04103 (2012)

    ADS  Google Scholar 

  15. B.L. Sawford, Phys. Fluids 3, 1577 (1991)

    Article  ADS  Google Scholar 

  16. O. Zeman, Phys. Fluids 6, 3221 (1994)

    Article  ADS  MATH  Google Scholar 

  17. K.R. Sreenivasan, Phys. Fluids 7, 2778 (1995)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Y. Zhou, Phys. Fluids 7, 2092 (1995)

    Article  ADS  MATH  Google Scholar 

  19. P.D. Mininni, D. Rosenberg, A. Pouquet, J. Fluid Mech. 699, 263 (2012)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  20. A.S. Monin, A.M. Yaglom, Statistical Fluid Mechanics, Vol. 2 (MIT Press, 1975)

  21. P.D. Mininni, A. Alexakis, A. Pouquet, Phys. Fluids 21, 015108 (2009)

    Article  ADS  Google Scholar 

  22. L.M. Smith, V. Yakhot, Phys. Rev. Lett. 71, 352 (1993)

    Article  ADS  Google Scholar 

  23. M. Chertkov, C. Connaughton, I. Kolokolov, V. Lebedev, Phys. Rev. Lett. 99, 084501 (2007)

    Article  ADS  Google Scholar 

  24. L. Biferale, I. Procaccia, Phys. Rep. 414, 43 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  25. K. Schneider, Comput. Fluids 34, 1223 (2005)

    Article  MATH  Google Scholar 

  26. F.S. Godeferd, F. Moisy, App. Mech. Rev. 67, 030802 (2015)

    Article  Google Scholar 

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Authors and Affiliations

  1. University of Rome and INFN, 00133, Tor Vergata Rome, Italy

    Kartik P. Iyer, Irene Mazzitelli, Fabio Bonaccorso & Luca Biferale

  2. Laboratory for Atmospheric and Space Physics, University of Colorado at Boulder, 80303, Boulder, CO, USA

    Annick Pouquet

  3. Institute for Mathematics Applied to Geosciences (IMAGe), CISL, NCAR, 80307-3000, Boulder, CO, USA

    Annick Pouquet

Authors
  1. Kartik P. Iyer
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  2. Irene Mazzitelli
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  3. Fabio Bonaccorso
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  4. Annick Pouquet
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  5. Luca Biferale
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Correspondence to Kartik P. Iyer.

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Iyer, K., Mazzitelli, I., Bonaccorso, F. et al. Rotating turbulence under “precession-like” perturbation. Eur. Phys. J. E 38, 128 (2015). https://doi.org/10.1140/epje/i2015-15128-x

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  • DOI: https://doi.org/10.1140/epje/i2015-15128-x

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