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The Eulerian Time Correlation Function in Homogeneous Isotropic Turbulence

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Statistical Theories and Computational Approaches to Turbulence

Abstract

Two general models are proposed for the Eulerian time correlation function in homogeneous isotropic turbulence. The first is based on continued fraction approximations to its Laplace transform, and the second is based on random sweeping by apossibl non-Gaussian velocity field. Both models can give reasonable quantitative agreement with DNS data for moderate time separations over which the time correlation functions at different wavenumbers exhibit a common self-similar form.

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References

  1. J.-P. Bertoglio, F. Bataille, and J.-D. Marion (2001), Two-point closures for weakly compressible turbulence, Phys. Fluids 13, 290.

    Article  Google Scholar 

  2. J.-P. Boon and S. Yip (1980), Molecular Hydrodynamics, Dover.

    Google Scholar 

  3. C. Brun and A. Pumir (2001), Statistics of Fourier modes in a turbulent flow, Phys. Rev. E 63 056313.

    Article  Google Scholar 

  4. D. Daems, S. Grossmann, and V. S. L’vov (1999), Continued fraction representa-tion of temporal multiscaling in turbulence, Phys. Rev. E. 60, 6656.

    Article  MathSciNet  MATH  Google Scholar 

  5. G. Falkovich and V. Lebedev (1997), Single-point velocity distribution in turbu-lence, Phys. Rev. Lett. 79, 4159.

    Article  Google Scholar 

  6. G.-W. He, R. Rubinstein, and L.-P. Wang (2001), Effects of eddy viscosity on time correlations in large eddy simulations, ICASE Report 20001–10.

    Google Scholar 

  7. J. Jimenez (1998), Turbulent velocity fluctuations need not be Gaussian, J. Fluid Mech. 376 139.

    Article  MathSciNet  MATH  Google Scholar 

  8. Y. Kaneda (1993), Lagrangian and Eulerian time correlations in turbulence, Phys. Fluids A 5, 2835.

    Article  MATH  Google Scholar 

  9. Y. Kaneda, T. Ishihara, and K. Gotoh (1999). Taylor expansions in powers of time of Lagrangian and Eulerian two-point two-time velocity correlations in turbulence, Phys. Fluids 11.

    Google Scholar 

  10. R. H. Kraichnan (1959), The structure of isotropic turbulence at very high Reynolds number, J. Fluid Mech. 5, 497.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. H. Kraichnan (1964), Kolmogorov’s hypotheses and Eulerian turbulence theory, Phys. Fluids 7, 1723.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. H. Kraichnan (1968), Convergents to infinite series in turbulence theory, Phys. Rev. 174, 240.

    Article  Google Scholar 

  13. M. J. Lighthill (1952), On sound generated aerodynamically, Proc. Roy. Soc. A 211, 564.

    Article  MathSciNet  MATH  Google Scholar 

  14. P. Ulmschneider, J. Theurer, and Z. E. Musielak (1996), Acoustic wave energy fluxes for late-type stars, Astron. Astrophys. 315, 212.

    Google Scholar 

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© 2003 Springer Japan

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Rubinstein, R., He, GW. (2003). The Eulerian Time Correlation Function in Homogeneous Isotropic Turbulence. In: Kaneda, Y., Gotoh, T. (eds) Statistical Theories and Computational Approaches to Turbulence. Springer, Tokyo. https://doi.org/10.1007/978-4-431-67002-5_15

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  • DOI: https://doi.org/10.1007/978-4-431-67002-5_15

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-67004-9

  • Online ISBN: 978-4-431-67002-5

  • eBook Packages: Springer Book Archive

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