Hostname: page-component-84b7d79bbc-2l2gl Total loading time: 0 Render date: 2024-07-26T05:57:33.909Z Has data issue: false hasContentIssue false
  • English
  • Français

Shock-wave induced instability in internal explosion dynamics

Published online by Cambridge University Press:  03 February 2016

A. Bagabir  and
D. Drikakis
A. Bagabir
Affiliation:
Department of Aerospace Sciences, Cranfield University, Cranfield, UK
D. Drikakis
Affiliation:
Department of Aerospace Sciences, Cranfield University, Cranfield, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

The paper presents an investigation of flow instabilities occurring in shock-wave propagation and interaction with the walls of an enclosure. The shock-wave propagation is studied in connection with perturbed and unperturbed cylindrical blasts, initially placed in the centre of the enclosure, as well as for three different blast intensities corresponding to Mach numbers Ms = 2, 5 and 10. The instability is manifested by a symmetry-breaking of the flow even for the case of an initially perfectly-symmetric blast. It is shown that the symmetry-breaking initiates around the centre of the enclosure as a result of the interaction of the shock waves reflected from the walls, with the low-density region in the centre of the explosion. The instability leads to fast attenuation of the shock waves, especially for smaller initial blast intensities. The computations reveal that the vortical flow structures arising from the multiple shock reflections and flow instability are Mach number dependent. The existence of perturbations of large amplitude in the initial condition strengthens the instability and has significant effects on the instantaneous wall pressure distributions. The computational investigation has been performed using high-resolution Riemann solvers for the gas dynamic equations.

Type
Research Article
Information
The Aeronautical Journal , Volume 109 , Issue 1101 , November 2005 , pp. 537 - 556
Copyright
Copyright © Royal Aeronautical Society 2005 

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

1. Bagabir, A. and Drikakis, D.. Numerical experiments using high-resolution schemes for unsteady, inviscid, compressible flows, Computer Methods in Applied Mechanics and Engineering, 2004, 193, (42-44), pp 4675–4705.Google Scholar
2. Bagabir, A. and Drikakis, D.. Mach number effects on shock-bubble interaction. Shock Waves J, 2001, 11, pp 209–218.Google Scholar
3. Ben-Dor, G., Shock Wave Reflection Phenomena, Springer-Verlag, 1992.Google Scholar
4. Book, D.L.. Convective instability of self-similar spherical expansion into a vacuum. J Fluid Mech, 1979, 95, pp 779–786.Google Scholar
5. Burrows, A. and Fryxell, B.A.. An instability in neutron stars at birth. Science, 1992, 258, pp 430–434.Google Scholar
6. Chebotareva, E.I., Aleshin, A.N., Zaytsev, S.G. and Sergeev, S.V.. Investigation of interaction between reflected shocks and growing perturbation on an interface. Shock Waves, 1999, 9, pp 81–86.Google Scholar
7. Davydov, A.N., Lebedev, E.F. and Perkov, S.A.. Experimental investigation of gasdynamic instability in the plasma flow following the cylindrical shock wave. Preprint N1-40, Inst of High Temperatures, USSR, 1979.Google Scholar
8. Dewey, J.M.. Mach reflection research-paradox and progress, in: Takayama (Ed)., Proceedings of the 18th International Symposium on Shock Waves, Sendai, Japan (Springer-Verlag, 1992) pp 113–120.Google Scholar
9. Drikakis, D. and Durst, F.. A numerical study of viscous supersonic flow past a flat plate at large angles of incidence. Phys Fluids, 1994, 6, pp 1553–1573.Google Scholar
10. Eberle, A. and Heiss, S.. Enhanced numerical inviscid and viscous fluxes for cell centered finite volume schemes. Computers and Fluids, 1993, 22, pp 295–309.Google Scholar
11. Einfeldt, B.. On Godunov-type methods for gas dynamics. SIAM J. Numer Anal, 1988, 25, pp 294–318.Google Scholar
12. Harten, A., Lax, P.D. and van Leer, B.. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review, 1983, 25, pp 35–61.Google Scholar
13. Houas, L., Farhat, A. and Brun, R.. Shock induced Rayleigh-Taylor instability in the presence of a boundary layer. Phys Fluids, 1988, 31.Google Scholar
14. Manka, C., Grun, J., Stamper, J., Resnick, J., Burris, R., Crawford, J. and Ripin, B.H.. Images of unstable Taylor-Sedov blast waves propagating through a uniform gas. IEEE Transactions on Plasma Science 1996, 24, pp 35–36.Google Scholar
15. Marconi, F.. Investigation of the interaction of a blast wave with an internal structure. AIAA J, 1994, 32, pp 1561–1567.Google Scholar
16. Roe, P.L.. Approximate Riemann solvers, parameter vectors and difference schemes. J Comput Phys, 1981, 43, pp 357–372.Google Scholar
17. Roe, P.L. and Pike, J.. Efficient construction and utilisation of approximate Riemann solutions. In: Proc of IMA conference on numerical methods in fluid dynamics, Computing Methods in Science and Engineering VI, 1984, North-Holland, INRIA.Google Scholar
18. Rupert, V.. Shock-interface interaction: current research on the Richtmyer-Meshkov problem. In: Proc of the 18th Int Symp on Shock Waves, 1991, Sendai, Japan.Google Scholar
19. Sakurai, A., Blast Wave Theory. In: Basic Developments in Fluid Dynamics, Holt, M. (Ed), Academic Press, 1965, New York.Google Scholar
20. Takayama, K., Optical Flow Visualisation of Shock Wave Phenomena, Brun, and Dimitrescu, (Eds), Shock Waves at Marseille, Springer-Verlag, 1995, 4, pp 7–16.Google Scholar
21. Toro, E.F., Spruce, M. and Speares, W.. Restoration of the contact surface in the HLL-Riemann solver. Shock Waves, 1994, 4, pp 25–34.Google Scholar
22. Toro, E.F Riemann Solvers and Numerical Methods for Fluid Dynamics, Springer Verlag, 1999.Google Scholar
23. Thomas, J.L. and van Leer, , Walters, B.. Implicit flux split scheme for the Euler equations. AIAA-paper 85-1680, 1985.Google Scholar
24. van Albada, G.D., van Leer, B. and Roberts, W.. A comparative study of computational methods in cosmic gas dynamics, Astron. Astrophys, 1982, 108.Google Scholar
25. Zoltak, J. and Drikakis, D.. Hybrid upwind methods for the simulation of unsteady shock-wave diffraction over a cylinder. Comput Meth Appl Mech Eng, 1998, 162, pp 165–185.Google Scholar