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Computational test of the renormalization group theory of turbulence

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Abstract

The results of numerical simulations of random-force-driven Navier-Stokes turbulence designed to test predictions of the renormalization group theory of turbulence are presented. By specially choosing the random force, we generate fully developed turbulence with a relatively long inertial range. The results of these simulations provide direct numerical verification of the correspondence principle [V. Yakhot and S.A. Orszag,Phys. Rev. Lett. 57, 1722 (1986)] and agree with the theoretical predictions based on the ɛ-expansion to about 2%–5%.

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References

  1. Dannevik, W. P., Yakhot, V., and Orszag, S. A. (1987).Phys. Fluids 30, 2021.

  2. Forster, D., Nelson, D. R., and Stephen, M. (1977).Phys. Rev. A 16, 732.

  3. Fournier, J. P., and Frisch, U. (1978).Phys. Rev. 17, 747.

  4. Fournier, J. P., and Frisch, U. (1983).Phys. Rev. 28, 1000.

  5. Kerr, R. (1987).J. Fluid Mech, submitted.

  6. Kida, S., and Murakami, Y. (1987).Phys. Fluids 30, 2030.

  7. Lee, M. J., and Reynolds, W. C. (1985). Report No. TF-24, Thermoscience Division, Stanford University.

  8. Teodorovich, E. V. (1987).Mech. Fluids Gas 4, 29 (in Russian).

  9. Yakhot, V., and Orszag, S. A. (1968a).Phys. Rev. Lett. 57, 1722.

  10. Yakhot, V., and Orszag, S. A. (1986b).J. Sci. Comput. 1, 3.

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Yakhot, V., Orszag, S.A. & Panda, R. Computational test of the renormalization group theory of turbulence. J Sci Comput 3, 139–147 (1988). https://doi.org/10.1007/BF01061254

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Key words

  • Turbulence
  • renormalization group
  • numerical simulation