Numerical Simulation of Conical and Spherical Shock Interaction: Hysteresis Investigations

  • J. D. Parisse
  • J. Giordano
  • D. E. Zeitoun
Conference paper


In the literature, we can find lot of analytical or numerical studies about shock wave interaction. However, in the major part of this work, the two dimensional assumption is used [1]-[4]. Although we know that in real flight conditions the interaction is at least axisymmetrical or three dimensional, we have also chosen to deal with axisymmetrical interaction. Indeed, the comprehension of the axisymmetrical phenomena is needed before taken into account a more realistic three dimensional case. Thus, in the present paper, we have numerically studied the interaction between a shock generated by a conical ring and a shock generated by a sphere (respectively called the conical and spherical shock). A schematic description of the study case is given by the figure 1. The inlet conditions are:M =4.96, T =77 K and P=1700 Pa. The preliminary results on this topic have been presented in [5] and [6].


Shock Wave Mach Number Schematic Description Riemann Solver Hysteresis Phenomenon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Ben-Dor, G.: Hysteresis phenomena in steady shock wave reflection ISSW 22, London UK (1999)Google Scholar
  2. 2.
    Edney, B.: Anomalous heat transfer and pressure distribution on blunt bodies at hypersonic speeds in presence of impinging shocks. Aeronautical Research Institute of Sweden, Report 115 (1968)Google Scholar
  3. 3.
    Bertrand, F.: Etude du flux thermique genere par interaction d’ondes de chocs sur les mats d’injection d’un statoreacteur combustion supersonique, France (1997)Google Scholar
  4. 4.
    Grasso, F., Purpura, C., Chanetz, B., Dlery, J.: Type III and type IV shock/shock interferences: theoretical and experimental aspects. Aerospace Science and Technology 7(2), 93–106 (2003)zbMATHCrossRefGoogle Scholar
  5. 5.
    Parisse, J.D., Chpoun, A., Giordano, J., Burtschell, Y., Zeitoun, D.: Numerical investigation of conical shock and spherical shock interaction. ISSW 25, Bangalore, India (2005)Google Scholar
  6. 6.
    Parisse, J.D., Giordano, J., Ducarme, G., Burtschell, Y., Zeitoun, D.: Conical and spherical shock interactions: Numerical investigations. ISIS 18, Rouen, France (2008)Google Scholar
  7. 7.
    Spalart, P.R., Allmaras, S.R.: A One-Equation Turbulence Model for Aerodynamic Flows. In: 30th Aerospace Sciences Meeting & Exhibit, Reno N.V., AIAA paper 92-0439, January 6-9 (1992)Google Scholar
  8. 8.
    Catris, S., Aupoix, B.: Density Corrections for Turbulence Models. Aerospace Science and Technology 4, 1–11 (2000)zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • J. D. Parisse
    • 1
  • J. Giordano
    • 1
  • D. E. Zeitoun
    • 1
  1. 1.Aix Marseille Université, IUSTI/UMR CNRS 6595, Technopôle de Château GombertMarseilleFrance

Personalised recommendations