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A method of calculating the energy spectral density of homogeneous isotropic turbulence

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Abstract

A numerical method is described which can be used to calculate the development downstream (or in time) of the energy spectral density distribution (over the modulus of the wave-number vector) of homogeneous isotropic turbulence in the entire wave-number range. The effect of the step in the modulus of the wave-number vector on the accuracy of the calculation is investigated. The results of a calculation of the process of degeneration of homogeneous isotropic turbulence are presented along with some integral characteristics of the spectrum. The results of the calculation are compared with experiment.

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Literature cited

  1. A. N. Kolmogorov, “The equations of the turbulent motion of an incompressible fluid,” Izv. Akad. Nauk SSSR, Ser. Fiz.,6, No. 1, 2 (1942).

    Google Scholar 

  2. G. S. Glushko, “A differential equation for the turbulence scale and the analysis of a turbulent boundary layer on a flat plate,” in: Turbulent Flows [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  3. J. Rotta, “Statistische Theorie nichthomogener Turbulenz,” Z. Phys.,129, No. 5 (1951);131, No. 1.

  4. V. N. Desnyanskii and E. A. Novikov, “Modeling of cascade processes in turbulent flows,” Prikl. Mat. Mekh.,38, No. 3 (1974).

  5. V. N. Desnyanskii and E. A. Novikov, “The evolution of turbulence spectra towards the similitude mode,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,10, No. 2 (1974).

  6. J. O. Hinze, Turbulence. An Introduction to Its Mechanism and Theory, McGraw-Hill, New York (1959).

    Google Scholar 

  7. A. S. Monin and A. M. Yaglom, Statistical Hydromechanics [in Russian], Part 2, Nauka, Moscow (1967).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    G. S. Glushko & V. D. Traskovskii

Authors
  1. G. S. Glushko
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  2. V. D. Traskovskii
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 13–19, January–February, 1978

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Glushko, G.S., Traskovskii, V.D. A method of calculating the energy spectral density of homogeneous isotropic turbulence. Fluid Dyn 13, 9–13 (1978). https://doi.org/10.1007/BF01094452

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  • DOI: https://doi.org/10.1007/BF01094452

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