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Some Recent Results on a Shell Model for 3D Turbulence

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Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 18))

Abstract

In this note we report a series of recently published results (by R, Benzi, M.H. Jensen, G. Paladin, G. Parisi, A. Vulpiani and myself) on a Shell Model for the three dimensional cascade of energy in Fully Developed Turbulence. We present numerical and anaiitycal computations of the intermittent corrections to the K41 scaling of the velocity increments in the inertial range.

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References

  1. A.N. Kolmogorov C. R. Acad. Sci. USSR 30 301 (1941).

    Google Scholar 

  2. A.S. Monin and A. M. Yaglom, Statistical Fluid Mechanics MIT Press Cambridge Ma. Vol.II(1975).

    Google Scholar 

  3. F. Anselmet, Y. Gagne, E.J. Hopfinger and R. Antonia J. Fluid Mech. 140 63 (1984).

    Article  Google Scholar 

  4. E.D. Siggia, Phys. Rev. A15 1730 (1977)

    Google Scholar 

  5. R.M. Kerr and E.D. Siggia,J. Stat. Phys. 19 543 (1978)

    Article  MathSciNet  Google Scholar 

  6. R. Grappin, J. Leorat and A. Pouquet, J. Physique 47 1127 (1986).

    Article  Google Scholar 

  7. M. Yamada and K. Okhitani, J. Phys. Soc. of Japan, 56 4210 (1987)

    Article  Google Scholar 

  8. M.H. Jensen, G. Paladin and A. Vulpiani Phys. Rev. A43 798 (1991)

    Google Scholar 

  9. U. Frisch and G. Parisi in Turbulence and predictability of geophysical flows and climate dynamics ed.s M. Ghil et al. North Holland (New York) page 84 (1985).

    Google Scholar 

  10. R. Benzi, G. Paladin, G. Parisi and A. Vulpiani J. Phys. A17 3521 (1984).

    MathSciNet  Google Scholar 

  11. R. Benzi, L. Biferale and G. Parisi, Preprint Rom2F-92/12, Submitted to Physica D.

    Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Biferale, L. (1993). Some Recent Results on a Shell Model for 3D Turbulence. In: Nieuwstadt, F.T.M. (eds) Advances in Turbulence IV. Fluid Mechanics and its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1689-3_16

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  • DOI: https://doi.org/10.1007/978-94-011-1689-3_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4739-5

  • Online ISBN: 978-94-011-1689-3

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