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  • Journal of Fluid Mechanics, Volume 626
  • May 2009, pp. 449-475

Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions

  • E. LEINOV (a1), G. MALAMUD (a1) (a2), Y. ELBAZ (a2), L. A. LEVIN (a1) (a2), G. BEN-DOR (a1), D. SHVARTS (a1) (a2) and O. SADOT (a1) (a2)
  • DOI:
  • Published online: 10 May 2009

An experimental and numerical systematic study of the growth of the Richtmyer–Meshkov instability-induced mixing following a re-shock is made, where the initial shock moves from the light fluid to the heavy one, over an incident Mach number range of 1.15–1.45. The evolution of the mixing zone following the re-shock is found to be independent of its amplitude at the time of the re-shock and to depend directly on the strength of the re-shock. A linear growth of the mixing zone with time following the passage of the re-shock and before the arrival of the reflected rarefaction wave is found. Moreover, when the mixing zone width is plotted as a function of the distance travelled, the growth slope is found to be independent of the re-shock strength. A comparison of the experimental results with direct numerical simulation calculations reveals that the linear growth rate of the mixing zone is the result of a bubble competition process.

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U. Alon , J. Hecht , D. Mukamel & D. Shvarts 1994 Scale invariant mixing rates of hydrodynamically unstable interfaces. Phys. Rev. Lett. 72 (4), 28672870.

U. Alon , J. Hecht , D. Ofer & D. Shvarts 1995 Power laws and similarity of Rayleigh–Taylor and Richtmyer–Meshkov mixing fronts at all density ratios. Phys. Rev. Lett. 74 (4), 534537.

D. Arnett 2000 The role of mixing in astrophysics. Astrophys. J. Supp. 127, 213217.

M. Brouillette & B. Sturtevant 1993 Experiments on the Richtmyer–Meshkov instability: small-scale perturbations on a plane interface. Phys. Fluids A 5 (4), 916930.

V. M. Canuto & I. Goldman 1985 Analytical model for large scale turbulence. Phys. Rev. Lett. 54, 430433.

A. A. Charakhch'yan 2001 Reshocking at the non-linear stage of Richtmyer–Meshkov instability. Plasma Phys. Control. Fusion 43, 11691179.

G. Dimonte & M. Schneider 2000 Density ratio dependence of Rayleigh–Taylor mixing sustained and impulsive acceleration histories. Phys. Fluids 12 (2), 304321.

L. Erez , O. Sadot , D. Oron , G. Erez , L. A. Levin , D. Shvarts & G. Ben-Dor 2000 Study of the membrane effect on turbulent mixing measurements in shock tubes. Shock Waves 10, 241251.

S. W. Haan 1989 Onset of nonlinear saturation for Rayleigh–Taylor growth in the presence of a full spectrum of modes. Phys. Rev. A 39 (11), 58125825.

L. Houas & I. Chemouni 1996 Experimental investigation of the Richtmyer–Meshkov instability in shock tube. Phys. Fluids 8, 614624.

D. Layzer 1955 On the instability of superposed fluids in a gravitational field. Astrophys. J. 122 (1), 112.

J. D. Lindl , R. L. McCrory & E. M. Campball 1992 Progress toward ignition and burn propagation in inertial confinement fusion. Phys. Today 45 (9), 3250.

G. Malamud , D. Levi-Hevroni & A. Levy 2003 Two-dimensional model for simulating shock-wave interaction with rigid porous materials. AIAA J. 41 (4), 663673.

E. E. Meshkov 1969 Instability of the interface of two gases accelerated by a shock wave. Sov. Fluid Dyn. 4, 101108.

K. O. Mikaelian 1989 Turbulent mixing generated by Rayliegh–Taylor and Richtmyer–Meshkov instabilities. Phys. D 36, 343357.

D. Ofer , U. Alon , D. Shvarts , R. L. McCrory & C. P. Verdon 1996 Modal model for the nonlinear multimode Rayleigh–Taylor instability. Phys. Plasmas 3, 30733090.

D. Oron , L. Arazi , D. Kartoon , A. Rikanati , Alon U. & D. Shvarts 2001 Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws. Phys. Plasmas 8 (6), 28832889.

K. I. Read 1984 Experimental investigation of turbulent mixing by Rayleigh–Taylor instability. Phys. D 12, 4558.

R. D. Richtmyer 1960 Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Math. 13, 297319.

O. Sadot , L. Erez , D. Oron , G. Erez , G. Ben-Dor , Alon, U, L. A. Levin & D. Shvarts 2000 Studies on the nonlinear evolution of the Richtmyer–Meshkov instability. Astrophys. J. Supp. 127, 469473.

O. Schilling , M. Latini & W. S. Don 2007 Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability. Phys. Rev. E 76, 026319.

Y. Srebro , Y. Elbaz , O. Sadot , L. Arazi & D. Shvarts 2003 A general buoyancy-drag model for the evolution of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities. Laser Particle Beams 21, 347353.

G. I. Taylor 1950 The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. Proc. R. Soc. A 201, 192196.

M. Vetter & B. Sturtevant 1995 Experiments on the Richtmyer–Meshkov instability of an air/SF6 interface. Shock Waves 4 (5), 247252.

D. L. Youngs 1984 Numerical simulation of turbulent mixing by Rayleigh–Taylor instability. Phys. D 12, 3244.

Q. Zhang & S. Sohn 1996 An analytical nonlinear theory of Richtmyer–Meshkov instability driven by cylindrical shocks. Phys. Lett A 212, 149155.

Q. Zhang & S. Sohn 1997 Nonlinear theory of unstable fluid mixing driven by shock wave. Phys. Fluids 9 (4), 11061124.

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