RAS PhysicsЖурнал экспериментальной и теоретической физики Journal of Experimental and Theoretical Physics

  • ISSN (Print) 0044-4510
  • ISSN (Online) 3034-641X

CORRELATIONS OF FLUCTUATIONS OF TWO-DIMENSIONAL FLOW FORCED BY A RANDOM FORCE ON TOP OF A SHEAR FLOW

PII
10.31857/S0044451024010127-1
DOI
10.31857/S0044451024010127
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 165 / Issue number 1
Pages
128-140
Abstract
We examine fluctuations of vorticity excited by an external random force in two-dimensional fluid in the presence of a strong external shear flow. The problem is motivated by the analysis of big coherent vortices appearing as a consequence of the inverse energy cascade in a finite box at large Reynolds numbers. We develop the perturbation theory for calculating nonlinear corrections to correlation functions of the flow fluctuations assuming that the external force is short correlated in time. We analyze corrections to the pair correlation function of vorticity and some moments. The analysis enables one to establish validity of the perturbation theory for laboratory experiments and numerical simulations.
Keywords
Shear flow turbulence fluctuations
Date of publication
16.09.2025
Year of publication
2025
Number of purchasers
0
Views
61

References

  1. 1. G. Boffetta and R. E. Ecke, Ann. Rev. Fluid Mech.44, 427 (2012).
  2. 2. R. H. Kraichnan, Phys. Fluids 10, 1417 (1967).
  3. 3. C. E. Leith, Phys. Fluids 11, 671 (1968).
  4. 4. G. K. Batchelor, Phys. Fluids 12, 233 (1969).
  5. 5. R. H. Kraichnan and D. Montgomery, Rep. Prog.Phys. 43, 547 (1980).
  6. 6. J. Sommeria, Experimental Study of the Two-Dimensional Inverse Energy Cascade in a Square Box, J . Fluid Mech. 170, 139 (1986).
  7. 7. D. Molenaar, H. J. H. Clercx, and G. J. F. van Heijst,Physica D 196, 329 (2004).
  8. 8. H. Xia, M. Shats, and G. Falkovich, Phys. Fluids 21, 125101 (2009).
  9. 9. A.V. Orlov, M. Yu. Brazhnikov, and A.A.Levchenko, Письма в ЖЭТФ 107, 166 (2018) [JETP Lett. 107, 157 (2018)].
  10. 10. M. Chertkov, C. Connaughton, I. Kolokolov, andV. Lebedev, Dynamics of Energy Condensation in Two-Dimensional Turbulence, Phys. Rev. Lett. 99, 084501 (2007).
  11. 11. J. Laurie, G. Boffetta, G. Falkovich, I. Kolokolov,and V. Lebedev, Universal Profile of the Vortex Condensate in Two-Dimensional Turbulence, Phys. Rev. Lett. 113, 254503 (2014).
  12. 12. I. V. Kolokolov and V .V. Lebedev, Profile of Coherent Vortices in Two-Dimensional Turbulence, Письма в ЖЭТФ 101, 181 (2015) [JETP Lett. 101, 164 (2015)].
  13. 13. I. V. Kolokolov and V. V. Lebedev, Structure of Coherent Vortices Generated by the Inverse Cascade of Two-Dimensional Turbulence in a Finite Box, Phys. Rev. E 93, 033104 (2016).
  14. 14. I. V. Kolokolov and V. V. Lebedev, Velocity Statistics Inside Coherent Vortices Generated by the Inverse Cascade of 2-D Turbulence, J. Fluid Mech. 809, R2 (2016).
  15. 15. A. Frishman, J. Laurie, and G. Falkovich, Phys. Rev. Fluids 2, 032602 (2017).
  16. 16. И. В. Колоколов, В. В. Лебедев, Крупномасштабное течение в двумерной турбулентности при статической накачке, Письма в ЖЭТФ 106, 633 (2017)
  17. 17. I. Kolokolov and V. Lebedev, Phys. Rev. E 102, 023108 (2020).
  18. 18. A. N. Doludenko, S. V. Fortova, I. V. Kolokolov, and V. V. Lebedev, Ann. Phys. 447, 169072 (2022).
  19. 19. M. Souzy, I. Zaier, H. Lhuissier, T. Le Borgne, and B.Metzger, Mixing Lamellae in a Shear Flow, J.Fluid Mech. 838, R3 (2018).
  20. 20. H. W. Wyld, Ann. Phys. 14, 143 (1961).
  21. 21. P. C. Martin, E. D. Siggia, and H. A. Rose, Phys.Rev. A 8, 423 (1973).
  22. 22. J. Hertz, Y. Roudi, and P. Sollich, J. Phys. A 50, 033001 (2017).
  23. 23. G. C. Wick, The Evaluation of the Collision Matrix, Phys. Rev. 80, 268 (1950).
  24. 24. S. Weinberg, The Quantum Theory of Fields, Vol. I (Foundations), Cambridge University Press, Cambridge, U. K. (1995).
  25. 25. И. В. Колоколов, В. В. Лебедев, М. М. Тукмакова, ЖЭТФ 163, 881 (2023)
  26. 26. И. В. Колоколов, В. В. Лебедев, М. М. Тумакова,Письма в ЖЭТФ 117, 127 (2023)
  27. 27. R. H. Kraichnan, Phys. Fluids 8, 575 (1965).
  28. 28. В. И. Белиничер, В. С. Львов, ЖЭТФ 93, 533 (1987)
  29. 29. E. Deusebio, G. Boffetta, E. Lindborg, and S.Musacchio, Phys. Rev. E 90, 023005 (2014).
  30. 30. I. V. Kolokolov, L. L. Ogorodnikov, and S.S.Vergeles,Phys. Rev. Fluids, 5, 034604 (2020).
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