Richtmyer-Meshkov instability induced by shock-bubble interaction: Numerical and analytical studies with experimental validation

Physics of Fluids

Volumn 18, Issue 3, 2006, Pages

  Giordano, Jerome ^a   Burtschell, Y ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Bubbles; Flow instability; Flow simulation; Shock waves; Two phase flow; Vortices

Indexed keywords

BUBBLES (IN FLUIDS); COMPUTER SIMULATION; CYLINDERS (SHAPES); DEFORMATION; SHOCK WAVES; TWO PHASE FLOW; VORTEX FLOW;

FLOW INSTABILITY; FLOW SIMULATION; RICHTMYER-MESHKOV INSTABILITY; SHOCK-BUBBLE INTERACTION;

COMPUTATIONAL FLUID DYNAMICS;

BUBBLES (IN FLUIDS); COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CYLINDERS (SHAPES); DEFORMATION; SHOCK WAVES; TWO PHASE FLOW; VORTEX FLOW;

EID: 33645469814     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2185685     Document Type: Article

References (35)

1. R. Richtmyer, "Taylor instability in shock acceleration of compressible fluids," Commun. Pure Appl. Math. CPMAMV0010-3640 XIII, 297 (1960).
2. E. Meshkov, "Instability of the interface of two gases accelerated by a shock wave," Fluid Dyn. FLDYAH0015-462810.1007/BF01015969 4, 101 (1969).
3. J. Yang, T. Kubota, and E. E. Zukoski, "Application of shock induced-mixing to supersonic combustion," AIAA J. AIAJAH0001-1452 31, 854 (1993).
4. J. D. Lindl, R. L. McCrory, and E. M. Campbell, "Progress toward ignition and burn propagation in inertial confinement fusion," Phys. Today PHTOAD0031-922810.1063/1.881318 45 (9), 32 (1992).
5. W. D. Arnett, J. N. Bahcall, R. P. Kirshner, and S. E. Woosley, "Supernova 1987A," Annu. Rev. Astron. Astrophys. ARAAAJ0066-414610.1146/annurev.astro.27.1.629 27, 629 (1989).
6. J. F. Haas and B. Sturtevant, "Interaction of weak shock with cylindrical and spherical gas inhomogeneities," J. Fluid Mech. JFLSA70022-1120 181, 41 (1987).
7. S. Zhang, N. J. Zabusky, G. Peng, and S. Gupta, "Shock gaseous cylinder interactions: Dynamically validated initial conditions provide excellent agreement between experiments and numerical simulations to late-intermediate time," Phys. Fluids PHFLE61070-663110.1063/ 1.1651483 16, 1203 (2004).
8. 6 interface," J. Fluid Mech. JFLSA70022-1120 113, 464 (2002).
9. C. A. Zoldi, "A numerical and experimental study of a shock-accelerated heavy gas cylinder," Ph.D. thesis, SUNY Stony Brook, 2002.
10. G. Layes, G. Jourdan, and L. Houas, "Distortion of a spherical gaseous interface accelerated by a plane shock wave," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.91.174502 91, 174502 (2003).
11. G. Layes, "Etude expérimentale de l'interaction choc/ bulle," Ph.D. thesis, Polytech DME, IUSTI UMR 6595, Université de Provence, 2004.
12. J. J. Quirk and S. Karni, "On the dynamics of shock-bubble interaction," J. Fluid Mech. JFLSA70022-1120 189, 23 (1996).
13. A. Marquina and P. Mulet, "A flux-split algorithm applied to conservative models for multicomponent compressible flows," J. Comput. Phys. JCTPAH0021-999110.1016/S0021-9991(02)00050-5 185, 120 (2003).
14. A. Bagadir and D. Drikakis, "Mach number effects on shock-bubble interaction," Shock Waves SHWAEN0938-1287 12, 209 (2001).
15. J. W. Jacobs, "The dynamics of shock accelerated light and heavy gas cylinder," Phys. Fluids A PFADEB0899-821310.1063/1.858562 5, 2239 (1993).
16. N. J. Zabusky and S. M. Zeng, "Shock cavity implosion morphologies and vortical projectile generation in axisymmetric shock-spherical fast/ flow bubble interactions," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112097008045 362, 327 (1997).
17. K. Levy, O. Sadot, A. Rikanati, D. Kartoon, Y. Srebro, A. Yosef Hai, G. Ben Dor, and D. Shvarts, "Scaling in the shock-bubble interaction," Laser Part. Beams LPBEDA0263-034610.1017/ S0263034603213070 21, 335 (2003).
18. Y. Burtschell and D. E. Zeitoun, "Real gas effects and boundary layer suction in reflected shock tunnel," International Journal of Progress in Computational Fluid Dynamics 4, 277 (2004).
19. Y. Burtschell, M. Cardoso, and D. E. Zeitoun, "Numerical analysis of reducing driver gas contamination in impulse shock tunnels," AIAA J. AIAJAH0001-1452 39, 2357 (2001).
20. Y. Burtschell and D. E. Zeitoun, "Shock/shock and shock/boundary layer interactions in an axisymmetric steady laminar flow," Shock Waves SHWAEN0938-1287 12, 487 (2003).
21. J. Giordano, J. Jourdan, Y. Burtschell, M. Medale, D. E. Zeitoun, and L. Houas, "Shock wave impacts on deforming panel, an application of fluid-structure interaction," Shock Waves SHWAEN0938-1287 14, 103 (2005).
22. K. H. A. Winkler, J. W. Chalmers, S. W. Hodson, P. R. Woodward, and N. J. Zabusky, "A numerical laboratory," Phys. Today PHTOAD0031-9228 40 (10), 28 (1987).
23. G. Jourdan, L. Houas, L. Schwaederlé, G. Layes, R. Carey, and F. Diaz, "A new variable inclination shock tube for multiple investigations," Shock Waves SHWAEN0938-1287 13, 501 (2003).
24. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
25. C. R. Wilke, "A viscosity equation for gas mixtures," J. Chem. Phys. JCPSA60021-9606 18, 4 (1950).
26. C. Hirsch, Numerical Computation of Internal and External Flows (Wiley, New York, 1989).
27. E. F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics (Springer, Berlin, 1997).
28. R. Abgrall, "How to prevent pressure oscillations in multicomponent flow calculations: A quasi-conservative approach," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1996.0085 125, 150 (1996).
29. R. Saurel and R. Abgrall, "A multiphase Godunov method for compressible multifluid and multiphase flows," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1999.6187 150, 425 (1998).
30. M. Brouillette, "On the interaction of shock waves with contact surfaces between gases of different densities," California Institute of Technology, 1989.
31. J. Picone and J. P. Boris, "Vorticity generation by shock propagation through bubbles in a gas," J. Fluid Mech. JFLSA70022-1120 189, 23 (1988).
32. J. Hawley and N. J. Zabusky, "Vortex paradigm for shock accelerated density stratified interfaces," Phys. Rev. Lett. 63, 1241 (1989).
33. R. Samtaney and N. J. Zabusky, "Circulation deposition on shock-accelerated planar and curved density stratified interfaces," J. Fluid Mech. JFLSA70022-1120 269, 45 (1994).
34. J. S. Hewett and C. Madnia, "Flame-vortex interaction in a reacting vortex ring," Phys. Fluids PHFLE61070-663110.1063/1.869560 10, 189 (1998).
35. I. I. Glass and J. P. Sislian, Nonstationary Flows and Shock Waves (Oxford Science, New York, 1994).