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Intermittent vortex structures in homogeneous isotropic turbulence

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Abstract

ALTHOUGH well developed turbulence exhibits complex, chaotic spatial and temporal behaviour, there is much experimental evidence to suggest that a remarkable degree of coherence is also present1. It is known2 that correlations in small-scale turbulent motions show significant deviations from the gaussian statistics usually expected for large, randomly interacting systems. This phenomenon, known as intermittency, has long resisted analytical description because of the lack of a simple, universal characterization of turbulence structures3. Here we report numerical simulations which show that there are remarkably simple spatial structures associated with intermittent regions of vorticity. In particular, in contrast to the classical description of turbulence as an array of 'pancake'- or 'lasagne'-like eddies4, we find that high-amplitude vortex structures are tube-like and that they generate local velocity fields that spiral around them.

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References

  1. Hussain, A. K. M. F. J. Fluid Mech. 173, 303–356 (1986).

    Article  ADS  CAS  Google Scholar 

  2. She, Z.-S., Jackson, E. & Orszag, S. A. J. Sci. Comput. 3, 407–434 (1988).

    Article  Google Scholar 

  3. Frisch, U. & Orszag, S. A. Physics Today 24–32 (January 1990).

  4. Betchov, R. J. Fluid Mech. 1, 497–504 (1956).

    Article  ADS  MathSciNet  Google Scholar 

  5. Kraichnan, R. H. Phys. Fluids 9, 1728–1752 (1966).

    Article  ADS  Google Scholar 

  6. Yakhot, V. & Orszag, S. A. J. Sci. Comput. 1, 3–51 (1986).

    Article  MathSciNet  Google Scholar 

  7. Ashurst, W. T., Kerstein, A. R., Kerr, R. M. & Gibson, C. H. Phys. Fluids 30, 2343–2353 (1987).

    Article  ADS  Google Scholar 

  8. Kerr, R. M. Phys. Rev. Lett. 59, 783–786 (1987).

    Article  ADS  CAS  Google Scholar 

  9. She, Z.-S., Jackson, E. & Orszag, S. A. J. Fluid Mech. (submitted).

  10. Siggia, E. D. J. Fluid Mech. 107, 375–406 (1981).

    Article  ADS  CAS  Google Scholar 

  11. Hosokawa, I. & Yamamoto, K. J. phys. Soc. Japan 58, 20–23 (1989).

    Article  ADS  Google Scholar 

  12. Moffatt, H. K. J. Fluid Mech. 159, 359–378 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  13. Batchelor, G. K. & Townsend, A. A. Proc. R. Soc. A199, 238–255 (1949).

    ADS  Google Scholar 

  14. Pelz, R., Yakhot, V., Orszag, S. A., Shtilman, L. & Levich, E. Phys. Rev. Lett. 54, 2505–2508 (1985).

    Article  ADS  CAS  Google Scholar 

  15. Yakhot, V. & Orszag, S. A. Nucl. Phys. B (Proc. Suppl.) 2, 417–427 (1987).

    Google Scholar 

  16. Kraichnan, R. H. & Panda, R. Phys. Fluids 31, 2395–2399 (1988).

    Article  ADS  Google Scholar 

  17. Shtilman, L. & Polifke, W. Phys. Fluids A1, 778–779 (1989).

    Article  ADS  Google Scholar 

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She, ZS., Jackson, E. & Orszag, S. Intermittent vortex structures in homogeneous isotropic turbulence. Nature 344, 226–228 (1990). https://doi.org/10.1038/344226a0

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  • DOI: https://doi.org/10.1038/344226a0

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