Hostname: page-component-5f745c7db-rgzdr Total loading time: 0 Render date: 2025-01-06T23:59:06.470Z Has data issue: true hasContentIssue false
  • English
  • Français

Experimental and numerical study of the interaction between a planar shock wave and a square cavity

Published online by Cambridge University Press:  26 April 2006

O. Igra ,
J. Falcovitz ,
H. Reichenbach  and
W. Heilig
O. Igra
Affiliation:
Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
J. Falcovitz
Affiliation:
Faculty of Aerospace Engineering, Israel Institute of Technology, Haifa, Israel
H. Reichenbach
Affiliation:
Ernst Mach Institute, Freiburg, Germany
W. Heilig
Affiliation:
Ernst Mach Institute, Freiburg, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

The interaction of a planar shock wave with a square cavity is studied experimentally and numerically. It is shown that such a complex, time-dependent, process can be modelled in a relatively simple manner. The proposed physical model is the Euler equations which are solved numerically, using the second-order-accurate high-resolution GRP scheme, resulting in very good agreement with experimentally obtained findings. Specifically, the wave pattern is numerically simulated throughout the entire interaction process. Excellent agreement is found between the experimentally obtained shadowgraphs and numerical simulations of the various flow discontinuities inside and around the cavity at all times. As could be expected, it is confirmed that the highest pressure acts on the cavity wall which experiences a head-on collision with the incident shock wave while the lowest pressures are encountered on the wall along which the incident shock wave diffracts. The proposed physical model and the numerical simulation used in the present work can be employed in solving shock wave interactions with other complex boundaries.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 313 , 25 April 1996 , pp. 105 - 130
Copyright
© 1996 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bazhenova, T. V., Gvozdeva, L. G., Lagutov, Yu. P. & Rayevsky, D. K. 1990 Nonstationary interaction of a shock wave with shallow cavity. In Current Topics in Shock Waves (ed. Y. W. Kim). AIP Conf. Proc. 208. American Institute of Physics.
Ben-Artzi, M. & Falcovitz, J. 1984 A second-order Godunov-type scheme for compressible fluid dynamics. J. Comput. Phys. 55, 1–32.Google Scholar
Ben-Artzi, M. & Falcovitz, J. 1986 An upwind second-order scheme for compressible duct flows. SIAM J. Sci. Statist. Comput. 7, 744–768.Google Scholar
Ben-Dor, G. 1991 Shock Wave Reflection Phenomena. Springer
Falcovitz, J. & Ben-Artzi, M. 1995 Recent developments of the GRP method. JSME Intl J. B 38, 497–517.Google Scholar
Gvozdeva, L. G., Lagutov, Yu., Rayevsky, D. K., Kharitovnov, A. E. & Sharov, Yu. L. 1988 Investigation of nonstationary flows with separation over cavities. Izv. Mekh. Zidk. Gaza No. 3, 185–191.Google Scholar
Leer, B. van 1979 Towards the ultimate conservative difference scheme V. J. Comput. Phys. 32, 101–136.Google Scholar
Strang, G. 1968 On the construction and comparison of difference schemes. SIAM J. Numer. Anal. 5, 506–517.Google Scholar