Skip to main content
SpringerLink
Log in

Mechanism of formation of reflection configurations over concave surfaces

  • Original Article
  • Published:
Shock Waves Aims and scope Submit manuscript

Abstract

Shock wave reflection from concave cylindrical and elliptical wedges is numerically studied. The model of a polyhedron inscribed into a circular cylinder is used to elucidate the mechanism of formation of reflection configurations in unsteady flows. This numerical simulation gives a clear indication of how the initial incident shock wave “receives information” from the reflecting surface. Flow features resulting from shock reflection off smooth, concave wedges are considered for different shapes of the reflecting surface. It is found that the evolution of the shock wave reflection configuration is determined by the shape of the reflecting wedge. It is shown that the Mach to regular reflection (MR \(\rightarrow \) RR) transition angles are different for different reflecting surfaces with the same incident shock Mach number.

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
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Ben-Dor, G.: Shock Wave Reflection Phenomena, 2nd edn. Springer, Berlin (2007)

    MATH  Google Scholar 

  2. Ben-Dor, G., Igra, O., Elperin, T.: Handbook of Shock Waves. Academic Press, Dublin (2001)

    MATH  Google Scholar 

  3. Syshchikova, M.P., Semenov, A.N., Berezkina, M.K.: Shock wave reflection by a curved concave surface. Sov. Tech. Phys. Lett. 2, 61–66 (1976)

    Google Scholar 

  4. Krassovskaya, I.V., Berezkina, M.K.: Reflection and diffraction of shock waves and shock wave configurations. In: 28th International Symposium on Shock Waves, Manchester, England, pp. 13–19 (2011)

  5. Ben-Dor, G., Takayama, K.: Application of steady shock polars to unsteady shock wave reflections. AIAA J. 24, 682–684 (1986)

    Article  Google Scholar 

  6. Skews, B.W., Kleine, H.: Flow features resulting from shock wave impact on a cylindrical cavity. J. Fluid Mech. 580, 481–493 (2007)

    Article  MATH  Google Scholar 

  7. Berezkina, M.K., Krassovskaya, I.V.: Interaction of a planar shock wave with a cylindrical concave wedge. In: 20th International Symposium on Shock Interaction, Stock-holm, Sweden, pp. 5–8, 20–24 August (2012)

  8. Suzuki, T., Adachi, T., Kobayashi, S.: Nonstationary shock reflection over nonstraight surfaces: an approach with a method of multiple steps. Shock Waves 7, 55–62 (1997)

    Article  Google Scholar 

  9. Skews, B.W., Kleine, H.: Anewdiagnostic approach to shockwave reflection. In: 27th International Symposium on ShockWaves, St.Petersburg, Russia, pp. 314–319, 24 July (2009)

  10. Fursenko, A.A., Sharov, D.M., Timofeev, E.V. and Voinovich, P.A.: An efficient unstructured Euler solver for transient shocked flows. Shock Waves @ Marsielle I, 371–376 (1995)

  11. Drikakis, D., Ofengeim, D., Timofeev, E.V., Voinovich, P.A.: Computation of non-stationary shock-wave/cylinder interaction using adaptive-grid methods. J. Fluids Struct 11(6), 665–692 (1997)

    Article  Google Scholar 

  12. Semenov, A.N., Berezkina, M.K., Krassovskaya, I.V.: Classification of pseudo-steady shock wave reflection types. Shock Waves 22(4), 307–316 (2012)

    Article  Google Scholar 

  13. Law, C. K.: Diffraction of strong shock waves by sharp compressive corner. UTIAS Technical Note No. 150, Toronto, Canada (1970)

Download references

Author information

Authors and Affiliations

  1. Ioffe Institute, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia

    I. V. Krassovskaya & M. K. Berezkina

Authors
  1. I. V. Krassovskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. K. Berezkina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. V. Krassovskaya.

Additional information

Communicated by A. Sasoh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Krassovskaya, I.V., Berezkina, M.K. Mechanism of formation of reflection configurations over concave surfaces. Shock Waves 27, 431–439 (2017). https://doi.org/10.1007/s00193-016-0701-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00193-016-0701-9

Keywords

Search

Navigation