Skip to main content
SpringerLink
Log in

INVESTIGATION OF VARIOUS APPROACHES TO THE SIMULATION OF LAMINAR–TURBULENT TRANSITION IN COMPRESSIBLE SEPARATED FLOWS

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The interaction of a laminar boundary layer with a shock wave at a Mach number M = 1.43 is studied by numerical simulation. The results obtained by direct numerical simulation are compared with the results of calculations using the Reynolds-averaged Navier–Stokes (RANS) equations supplemented with different turbulence models describing laminar–turbulent transition. The possibility of determining the position of the flow turbulence zone based on linear stability theory and the \(\mathrm{e}^{N}\)-method is estimated. Comparison of the numerical simulation with experimental data shows that engineering RANS methods can be used to study supersonic flows in which transition to turbulence occurs in regions of shock wave–boundary layer interaction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

REFERENCES

  1. J. Green, “Interactions between Shock Waves and Turbulent Boundary Layers," Progr. Aerospace Sci. 11, 235–340 (1970).

  2. D. S. Dolling, “Fifty Years of Shock Wave/Boundary Layer Interaction: What Next," AIAA J. 39, 1517–1531 (2001).

  3. A. J. Smits, Turbulent Shear Layers in Supersonic Flow, Ed. by A. J. Smits and J. P. Dussauge (Woodbury, New York, 1996).

  4. A. Zheltovodov, “Shock Wave/Turbulent Boundary Layer Interactions: Fundamental Studies and Applications," AIAA Paper No. 1996-1977 (New Orleans, 1996).

  5. Y. Andreopoulos, J. H. Agui, and G. Briassulis, “Shock Wave–Turbulence Interactions," Annual Rev. Fluid Mech.32, 309–345 (2000).

  6. H. Babinsky, Shock Wave–Boundary-Layer Interactions, Ed. by H. Babinsky and J. K. Harvey (Cambridge Univ. Press, 2011).

  7. Unsteady Effects of Shock Wave Induced Separation, Ed. by P. Doerffer, C. Hirsch, J.-P. Dussauge, et al. (Springer, 2011). (Notes Numer. Fluid Mech. Multidisciplinary Design; Vol. 114.)

  8. N. T. Clemens and V. Narayanaswamy, “Low-Frequency Unsteadiness of Shock Wave/Turbulent Boundary Layer Interactions," Annual Rev. Fluid Mech. 46, 469–492 (2014).

  9. D. Di Pasquale, A. Rona, and S. Garrett, “A Selective Review of Transition Modeling for CFDs," (AIAA Paper No. 2009-3812) (San Antonio, 2009).

  10. D. Knight and G. Degrez, “Shock Wave Boundary Layer Interactions in High Mach Number Flows: A Critical Survey of Current CFD Prediction Capabilities," Tech. Report No. AR-319-02 (Advisory Group for Aerospace Research and Development, Neuilly-sur-Seine, 1998).

  11. S. Teramoto, “Large-Eddy Simulation of Transitional Boundary Layer with Impinging Shock Wave," AIAA J. 43 (11), 2354–2363 (2005).

  12. E. Touber and N. D. Sandham, “Large-Eddy Simulation of Low-Frequency Unsteadiness in a Turbulent Shock-Induced Separation Bubble," Theor. Comput. Fluid Dyn. 23, 79–107 (2009).

  13. E. Garnier, P. Sagaut, and M. O. Deville, “Large Eddy Simulation of Shock/Boundary Layer Interaction," AIAA J. 40 (10), 1935–1944 (2002).

  14. S. Pirozzoli and F. Grasso, “Direct Numerical Simulation of Impinging Shock Wave/Turbulent Boundary Layer Interaction at M = 2.25," Phys. Fluids 18 (6), 065113 (2007).

  15. M. Wu and P. Martin, “Direct Numerical Simulation of Supersonic Turbulent Voundary Layer over a Compression Ramp," AIAA J.45 (4), 879–889 (2007).

  16. C. Mayer, D. von Terzi, and H. Fasel, “Direct Numerical Simulation of Complete Transition to Turbulence via Oblique Breakdown at Mach 3," J. Fluid Mech. 674, 5–42 (2011).

  17. I. V. Egorov, A. V. Novikov, and A. V. Fedorov, “Direct Numerical Simulation of the Laminar–Turbulent Transition at Hypersonic Flow Velocities on a Supercomputer," Zh. Vychsil. Mat. Mat. Fiz.57 (8), 1347–1373 (2017) [Comput. Math. Math. Phys.57, 1335–1359 (2017); https://doi.org/10.1134/S0965542517080061].

  18. A. N. Kudryavtsev and D. V. Khotyanovsky, “Direct Numerical Simulation of Transition to Turbulence in a Supersonic Boundary Layer," Teplofiz. Aeromekh. 22 (5), 581–590 (2015) [Thermophys. Aeromech. 22 (5), 559–568 (2015); https://doi.org/10.1134/S0869864315050042].

  19. D. V. Khotyanovsky and A. N. Kudryavtsev, “Numerical Simulation of the Evolution of Unstable Disturbances of Various Modes and Initial Stages of the Laminar–Turbulent Transition in the Boundary Layer at the Freestream Mach Number M = 6," Teplofiz. Aeromekh.23 (6), 843–852 (2016) [Thermophys. Aeromech.23 (6) 809–818 (2016); https://doi.org/10.1134/S0869864316060032].

  20. P. A. Polivanov, A. A. Sidorenko, and A. A. Maslov, “Transition Effect on Shock Wave/Boundary Layer Interaction at M = 1.47," AIAA Paper No. 2015-1974 (Kissimmee, 2015).

  21. P. A. Polivanov and A. A. Sidorenko, “Suppressing a Laminar Flow Separation Zone by Spark Discharge at Mach Number M = 1.43," Pis’ma Zh. Tekh. Fiz. 44 (18), 60–68 (2018) [Tech. Phys. Lett. 44, 833–836 (2018); https://doi.org/10.1134/S1063785018090262].

  22. P. A. Polivanov, A. A. Sidorenko, and A. A. Maslov, “The Influence of the Laminar–Turbulent Transition on the Interaction between the Shock Wave and Boundary Layer at a Low Supersonic Mach Number," Pis’ma Zh. Tekh. Fiz. 41 (19), 29–37 (2015) [Tech. Phys. Lett. 41, 933–937 (2015); https://doi.org/10.1134/S1063785015100120].

  23. A. I. Kutepova, P. A. Polivanov, and A. A. Sidorenko, “Effect of a Uncertainties of Flow Parameters on the Separation Zone at Supersonic Speeds," J. Phys.: Conf. Ser. 1404, 012085 (2019); DOI: 10.1088/1742-6596/1404/1/012085.

  24. P. A. Polivanov, A. A. Sidorenko, and A. A. Maslov, “Study of the Unsteady Structures Evolution in Shock Wave/Boundary Layer Interaction for Various Upstream Conditions," in Proc. of the 30th Congr. of the Int. Council of the Aeronautical Science (ICAS 2016), Daejeon, Korea, September 25–30, 2016, pp. 1–10.

  25. A. V. Boiko, K. V. Demyanko, A. A. Inozemtsev, et al., “Determination of the Laminar–Turbulent Transition Location in Numerical Simulations of Subsonic and Transonic Flows Past a Flat Plate," Teplofiz. Aeromekh. 26 (5), 675–683 (2019) [Thermophys. Aeromech. 26 (5), 629–637 (2019); https://doi.org/10.1134/S0869864319050019].

Download references

Author information

Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    P. A. Polivanov, D. V. Khotyanovsky, A. I. Kutepova & A. A. Sidorenko

Authors
  1. P. A. Polivanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. V. Khotyanovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. I. Kutepova
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. A. Sidorenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. A. Polivanov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Polivanov, P.A., Khotyanovsky, D.V., Kutepova, A.I. et al. INVESTIGATION OF VARIOUS APPROACHES TO THE SIMULATION OF LAMINAR–TURBULENT TRANSITION IN COMPRESSIBLE SEPARATED FLOWS. J Appl Mech Tech Phy 61, 717–726 (2020). https://doi.org/10.1134/S0021894420050053

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894420050053

Keywords

Search

Navigation