Balakumar, B. J., Orlicz, G. C., Ristorcelli, J. R., Balasubramanian, S., Prestridge, K. P. & Tomkins, C. D.
2012
Turbulent mixing in a Richtmyer–Meshkov fluid layer after reshock: velocity and density statistics. J. Fluid Mech.
696 (410), 67–93.

Balasubramanian, S., Orlicz, G. C. & Prestridge, K. P.
2013
Experimental study of initial condition dependence on turbulent mixing in shock-accelerated Richtmyer–Meshkov fluid layers. J. Turbul.
14 (3), 170–196.

Banerjee, A., Kraft, W. N. & Andrews, M. J.
2010
Detailed measurements of a statistically steady Rayleigh–Taylor mixing layer from small to high Atwood numbers. J. Fluid Mech.
659, 127–190.

Besnard, D., Harlow, F. H., Rauenzahn, R. M. & Zemach, C.1992 Turbulent transport equations for variable-density turbulence and their relationship to two-field models. *Tech. Rep.* LA-12303-MA. Los Alamos National Laboratory.

Buch, K. A. & Dahm, W. J. A.
1996
Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1.
$Sc\gg 1$
. J. Fluid Mech.
317, 21–71.
Buch, K. A. & Dahm, W. J. A.
1998
Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 2.
$\mathit{Sc}\sim 1$
. J. Fluid Mech.
364, 1–29.
Cabot, W. H. & Cook, A. W.
2006
Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae. Nat. Phys.
2 (8), 562–568.

Canny, J.
1986
A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell.
6, 679–698.

Champagne, F. H., Harris, V. G. & Corrsin, S.
1970
Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech.
41 (01), 81–139.

Chisnell, R. F.
1955
The normal motion of a shock wave through a non-uniform one-dimensional medium. Proc. R. Soc. Lond. A
232 (1190), 350–370.

Clemens, N. T.
2002
Flow imaging. In Encyclopedia of Imaging Science and Technology (ed. Hornak, J. P.), pp. 390–420. John Wiley and Sons.

Collins, B. D. & Jacobs, J. W.
2002
PLIF flow visualization and measurements of the Richtmyer–Meshkov instability of an air/SF6 interface. J. Fluid Mech.
464, 113–136.

Cook, A. W., Cabot, W. & Miller, P. L.
2004
The mixing transition in Rayleigh–Taylor instability. J. Fluid Mech.
511, 333–362.

Cook, A. W. & Dimotakis, P. E.
2001
Transition stages of Rayleigh–Taylor instability between miscible fluids. J. Fluid Mech.
443, 69–99.

Dimonte, G. & Schneider, M.
1997
Turbulent Richtmyer–Meshkov instability experiments with strong radiatively driven shocks. Phys. Plasmas
4 (12), 4347–4357.

Dimonte, G. & Schneider, M.
2000
Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration histories. Phys. Fluids
12, 304–321.

Dimotakis, P. E.
2000
The mixing transition in turbulent flows. J. Fluid Mech.
409, 69–98.

Dimotakis, P. E., Catrakis, H. J. & Fourguette, D. C.
2001
Flow structure and optical beam propagation in high-Reynolds-number gas-phase shear layers and jets. J. Fluid Mech.
433, 105–134.

Ghandhi, J. B.
2006
Spatial resolution and noise considerations in determining scalar dissipation rate from passive scalar image data. Exp. Fluids
40, 577–588.

Glezer, A.
1988
The formation of vortex rings. Phys. Fluids
31, 3532–3542.

Grégoire, O., Souffland, D. & Gauthier, S.
2005
A second-order turbulence model for gaseous mixtures induced by Richtmyer–Meshkov instability. J. Turbul.
6, N29.

Jacobs, J. W., Krivets, V. V., Tsiklashvili, V. & Likhachev, O. A.
2013
Experiments on the Richtmyer–Meshkov instability with an imposed, random initial perturbation. Shock Waves
23 (4), 407–413.

Jacobs, J. W. & Sheeley, J. M.
1996
Experimental study of incompressible Richtmyer–Meshkov instability. Phys. Fluids
8 (2), 405–415.

Jones, M. A. & Jacobs, J. W.
1997
A membraneless experiment for the study of Richtmyer–Meshkov instability of a shock-accelerated gas interface. Phys. Fluids
9 (10), 3078–3085.

Kaiser, S. A. & Frank, J. H.
2007
Imaging of dissipative structures in the near field of a turbulent non-premixed jet flame. Proc. Combust. Inst.
31 (1), 1515–1523.

Kaiser, S. A. & Frank, J. H.
2011
The effects of laser-sheet thickness on dissipation measurements in turbulent non-reacting jets and jet flames. Meas. Sci. Technol.
22 (4), 045403.

Kane, J., Drake, R. P. & Remington, B. A.
1999
An evaluation of the Richtmyer–Meshkov instability in supernova remnant formation. Astrophys. J.
511 (1), 335–340.

Leinov, E., Malamud, G., Elbaz, Y., Levin, L. A., Ben-Dor, G., Shvarts, D. & Sadot, O.
2009
Experimental and numerical investigation of the Richtmyer–Meshkov instability under re-shock conditions. J. Fluid Mech.
626, 449–475.

Lindl, J. D., Amendt, P., Berger, R. L., Glendinning, S. G., Glenzer, S. H., Haan, S. W., Kauffman, R. L., Landen, O. L. & Suter, L. J.
2004
The physics basis for ignition using indirect-drive targets on the national ignition facility. Phys. Plasmas
11 (2), 339–491.

Livescu, D. & Ristorcelli, J. R.
2008
Variable-density mixing in buoyancy-driven turbulence. J. Fluid Mech.
605, 145–180.

Livescu, D., Ristorcelli, J. R., Gore, R. A., Dean, S. H., Cabot, W. H. & Cook, A. W.
2009
High-Reynolds number Rayleigh–Taylor turbulence. J. Turbul.
10 (13), 1–32.

Lombardini, M., Pullin, D. I. & Meiron, D. I.
2012
Transition to turbulence in shock-driven mixing: a Mach number study. J. Fluid Mech.
690, 203–226.

Marble, F., Hendricks, G. & Zukoski, E.1987 Progress toward shock enhancement of supersonic combustion processes. In *23rd AIAA, SAE, ASME, and ASEE, Joint Propulsion Conference, San Diego, CA, June 29–July 2,* American Institute of Aeronautics and Astronautics, New York, pp. 1–8.

Meshkov, E. E.
1970
Instability of a shock wave accelerated interface between two gases. NASA Tech. Transl.
13, 1–14.

Mikaelian, K.
1989
Turbulent mixing generated by Rayleigh–Taylor and Richtmyer–Meshkov instabilities. Physica D
36, 343–357.

Motl, B., Oakley, J., Ranjan, D., Weber, C., Anderson, M. & Bonazza, R.
2009
Experimental validation of a Richtmyer–Meshkov scaling law over large density ratio and shock strength ranges. Phys. Fluids
21 (12), 126102.

Orlicz, G. C., Balakumar, B. J., Tomkins, C. D. & Prestridge, K. P.
2009
A Mach number study of the Richtmyer–Meshkov instability in a varicose, heavy-gas curtain. Phys. Fluids
21 (6), 064102.

Orlicz, G. C., Balasubramanian, S. & Prestridge, K. P.
2013
Incident shock Mach number effects on Richtmyer–Meshkov mixing in a heavy gas layer. Phys. Fluids
25 (11), 114101.

Petersen, B. & Ghandhi, J.
2011
High-resolution turbulent scalar field measurements in an optically accessible internal combustion engine. Exp. Fluids
51, 1695–1708.

Pope, S.
2000
Turbulent Flows. Cambridge University Press.

Prasad, J. K., Rasheed, A., Kumar, S. & Sturtevant, B.
2000
The late-time development of the Richtmyer–Meshkov instability. Phys. Fluids
12 (8), 2108–2115.

Ramaprabhu, P. & Andrews, M. J.
2004
Experimental investigation of Rayleigh–Taylor mixing at small Atwood numbers. J. Fluid Mech.
502, 233–271.

Ranjan, D., Oakley, J. & Bonazza, R.
2011
Shock-bubble interactions. Annu. Rev. Fluid Mech.
43, 117–140.

Rayleigh, L.
1883
Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc.
14 (1), 170–177.

Read, K. I.
1984
Experimental investigation of turbulent mixing by Rayleigh–Taylor instability. Physica D
12 (1–3), 45–58.

Reid, R. C., Prausnitz, J. M. & Poling, B. E.
1987
The Properties of Gases and Liquids. McGraw-Hill.

Richtmyer, R. D.
1960
Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Maths
13 (2), 297–319.

Rightley, P. M., Vorobieff, P., Martin, R. & Benjamin, R. F.
1999
Experimental observations of the mixing transition in a shock-accelerated gas curtain. Phys. Fluids
11 (1), 186–200.

Ristorcelli, J. R. & Clark, T. T.
2004
Rayleigh–Taylor turbulence: self-similar analysis and direct numerical simulations. J. Fluid Mech.
507, 213–253.

Ristorcelli, J. R., Gowardhan, A. A. & Grinstein, F. F.
2013
Two classes of Richtmyer–Meshkov instabilities: a detailed statistical look. Phys. Fluids
25 (4), 044106.

Robey, H. F., Zhou, Y., Buckingham, A. C., Keiter, P., Remington, B. A. & Drake, R. P.
2003
The time scale for the transition to turbulence in a high Reynolds number, accelerated flow. Phys. Plasmas
10 (3), 614–622.

Saffman, P. G. & Meiron, D. I.
1989
Kinetic energy generated by the incompressible Richtmyer–Meshkov instability in a continuously stratified fluid. Phys. Fluids A
1 (11), 1767–1771.

Su, L. K. & Clemens, N. T.
2003
The structure of fine-scale scalar mixing in gas-phase planar turbulent jets. J. Fluid Mech.
488, 1–29.

Taylor, G.
1950
The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I. Proc. R. Soc. Lond.
201 (1065), 192–196.

Tennekes, H. & Lumley, J. L.
1972
A First Course in Turbulence. The MIT Press.

Tomkins, C. D., Balakumar, B. J., Orlicz, G., Prestridge, K. P. & Ristorcelli, J. R.
2013
Evolution of the density self-correlation in developing Richtmyer–Meshkov turbulence. J. Fluid Mech.
735, 288–306.

Tomkins, C., Kumar, S., Orlicz, G. & Prestridge, K.
2008
An experimental investigation of mixing mechanisms in shock-accelerated flow. J. Fluid Mech.
611, 131–150.

Vetter, M. & Sturtevant, B.
1995
Experiments on the Richtmyer–Meshkov instability of an air/SF
$_6$
interface. Shock Waves
4, 247–252.
Vorobieff, P., Mohamed, N. G., Tomkins, C., Goodenough, C., Marr-Lyon, M. & Benjamin, R. F.
2003
Scaling evolution in shock-induced transition to turbulence. Phys. Rev. E
68 (6), 065301.

Vorobieff, P., Rightley, P. M. & Benjamin, R. F.
1998
Power-law spectra of incipient gas-curtain turbulence. Phys. Rev. Lett.
81, 2240–2243.

Wang, G. H. & Clemens, N. T.
2004
Effects of imaging system blur on measurements of flow scalars and scalar gradients. Exp. Fluids
37 (2), 194–205.

Wang, G. H., Clemens, N. T., Barlow, R. S. & Varghese, P. L.
2007
A system model for assessing scalar dissipation measurement accuracy in turbulent flows. Meas. Sci. Technol.
18, 1287–1303.

Weber, C. R.2012 Turbulent mixing measurements in the Richtmyer–Meshkov instability. PhD thesis, University of Wisconsin–Madison.

Weber, C. R., Cook, A. W. & Bonazza, R.
2013
Growth rate of a shocked mixing layer with known initial perturbations. J. Fluid Mech.
725, 372–401.

Weber, C. R., Haehn, N., Oakley, J., Rothamer, D. & Bonazza, R.
2012
Turbulent mixing measurements in the Richtmyer–Meshkov instability. Phys. Fluids
24 (7), 074105.

Youngs, D. L.
1984
Numerical simulation of turbulent mixing by Rayleigh–Taylor instability. Physica D
12 (1–3), 32–44.

Zhou, Y., Robey, H. & Buckingham, A.
2003
Onset of turbulence in accelerated high-Reynolds-number flow. Phys. Rev. E
67 (5), 056305.