References
- Lindl JD, McCrory R, Campbell E. Progress toward ignition and burn propagation in inertial confinement fusion. Phys Today. 1992;45:32–40.
- Arnett D. The role of mixing in astrophysics. Astrophys J Suppl. 2000;127:213–217.
- Yang J, Kubota T, Zukoski E. Applications of shock-induced mixing to supersonic combustion. AIAA J. 1993;31:854–862.
- Rayleigh L. Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc R Math Soc. 1883;14:170–177.
- Taylor GI. The instability of liquid surfaces when accelerated in a direction perpendicular to their plane. Proc R Soc London A. 1950;201:192–196.
- Chandrasekhar S. Hydrodynamic and hydromagnetic stability. Oxford: Oxford University Press; 1961.
- Sharp DH. An overview of Rayleigh-Taylor instability. Physica D. 1984;12:3–18.
- Youngs DL. Numerical simulation of turbulent mixing by Rayleigh-Taylor instability. Physica D. 1984;12:32–44.
- Youngs DL. Modelling turbulent mixing by Rayleigh-Taylor instability. Physica D. 1989;37:270–287.
- Schneider M, Dimonte G, Remington B. Large and small scale structure in Rayleigh-Taylor mixing. Phys Rev Lett. 1998; 80(16): 3507–3510.
- Dimonte G, Schneider M. Density ratio dependence of Rayleigh-Taylor mixing for sustained and impulsive acceleration histories. Phys Fluids. 2000; 12(2): 304–321.
- Dalziel SB, Linden P, Youngs DL. Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability. J Fluid Mech. 1999;399:1–48.
- Ramaprabhu P, Andrews MJ. Experimental investigation of Rayleigh-Taylor mixing at small Atwood numbers. J Fluid Mech. 2004;502:233–271.
- Jacobs J, Dalziel SB. Rayleigh-Taylor instability in complex stratifications. J Fluid Mech. 2005;542:251–279.
- Mueschke NJ, Andrews MJ, Schilling O. Experimental characterization of initial conditions and spatio-temporal evolution of a small-Atwood-number Rayleigh-Taylor mixing layer. J Fluid Mech. 2006;567:27–63.
- Mueschke NJ, Schilling O, Youngs DL, et al. Measurements of molecular mixing in a high-Schmidt-number Rayleigh-Taylor mixing layer. J Fluid Mech. 2009;632:17–48.
- Olson DH, Jacobs JW. Experimental study of Rayleigh-Taylor instability with a complex initial perturbation. Phys Fluids. 2009;21:034103.
- Banerjee A, Kraft WN, Andrews MJ. Detailed measurements of a statistically steady Rayleigh-Taylor mixing layer from small to high Atwood numbers. J Fluid Mech. 2010;659:127–190.
- Akula B, Andrews MJ, Ranjan D. Effect of shear on Rayleigh-Taylor mixing at small Atwood number. Phys Rev E. 2013;87:033013.
- Glimm J, Li XL, Menikoff R, et al. A numerical study of bubble interactions in Rayleigh-Taylor instability for compressible fluids. Phys Fluids A. 1990; 2(11): 2046–2054.
- Cook AW, Dimotakis PE. Transition stages of Rayleigh-Taylor instability between miscible fluids. J Fluid Mech. 2001;443:69–99.
- Cook AW, Cabot W, Miller PL. The mixing transition in Rayleigh-Taylor instability. J Fluid Mech. 2004;511:333–362.
- Cabot WH, Cook AW. Reynolds number effects on Rayleigh-Taylor instability with possible implications for type Ia supernovae. Nature Phys. 2006;2:562–568.
- Ristorcelli JR, Clark TT. Rayleigh-Taylor turbulence: self-similar analysis and direct numerical simulation. J Fluid Mech. 2004;507:213–253.
- Ramaprabhu P, Dimonte G, Andrews MJ. A numerical study of the influence of initial perturbations on the turbulent Rayleigh-Taylor instability. J Fluid Mech. 2005;536:285–319.
- Vladimirova N, Chertkov M. Self-similarity and universality in Rayleigh-Taylor, Boussinesq turbulence. Phys Fluids. 2009;21:015102.
- Mueschke NJ, Schilling O. Investigation of Rayleigh-Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. I. Comparison to experimental data. Phys Fluids. 2009; 21: 014106.
- Mueschke NJ, Schilling O. Investigation of Rayleigh-Taylor turbulence and mixing using direct numerical simulation with experimentally measured initial conditions. II. Dynamics of transitional flow and mixing statistics. Phys Fluids. 2009; 21: 014107.
- Schilling O, Mueschke NJ. Analysis of turbulent transport and mixing in transitional Rayleigh-Taylor unstable flow using direct numerical simulation data. Phys Fluids. 2010;22:105102.
- Livescu D, Ristorcelli JR, Petersen MR, et al. New phenomena in variable-density Rayleigh-Taylor turbulence. Phys Scr. 2010;T146:014015.
- Boffetta G, Mazzino A, Musacchio S, et al. Statistics of mixing in three-dimensional Rayleigh-Taylor turbulence at low Atwood number and Prandtl number one. Phys Fluids. 2010;22:035109.
- Soulard O, Griffond J. Inertial-range anisotropy in Rayleigh-Tayor turbulence. Phys Fluids. 2012;24:025101.
- Cambon C, Gréa BJ. The role of directionality on the structure and dynamics of strongly anisotropic turbulent flows. J Turbul. 2013; 14(1): 50–71.
- Mikaelian KO. Rayleigh-Taylor and Richtmyer-Meshkov instabilities and mixing in stratified spherical shells. Phys Rev A. 1990; 42(6): 3400–3420.
- Miles AR. Bubble merger model for the nonlinear Rayleigh-Taylor instability driven by a strong blast wave. Phys Plasmas. 2004; 11(11): 5140–5155.
- Johnson BM, Schilling O. Reynolds-averaged Navier-Stokes model predictions of linear instability. I: Buoyancy- and shear-driven flows. J Turbul. 2011; 12(36): 1–38.
- Gréa BJ. The rapid acceleration model and the growth rate of a turbulent mixing zone induced by Rayleigh-Taylor instability. Phys Fluids. 2013;25:015118.
- Dimonte G, Youngs D, Dimits A, et al. A comparative study of the turbulent Rayleigh-Taylor instability using high-resolution three-dimensional numerical simulations: the alpha-group collaboration. Phys Fluids. 2004; 16(5): 1668–1693.
- Dimonte G, Tipton R. K-L turbulence model for the self-similar growth of the Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Phys Fluids. 2006;18:085101.
- Banerjee A, Gore RA, Andrews MJ. Development and validation of a turbulent-mix model for variable-density and compressible flows. Phys Rev E. 2010;82:046309.
- Morgan BE, Wickett ME. Three-equation model for the self-similar growth of Rayleigh-Taylor and Richtmyer-Meshkov instabilities. Phys Rev E. 2015;91:043002.
- Livescu D, Ristorcelli JR, Gore RA, et al. High-Reynolds number Rayleigh-Taylor turbulence. J Turbul. 2009; 10(13): 1–32.
- Schwarzkopf JD, Livescu D, Gore RA, et al. Application of second-moment closure model to mixing processes involving multicomponent miscible fluids. J Turbul. 2011; 12(49): 1–35.
- Rollin B, Andrews MJ. On generating initial conditions for turbulence models: the case of Rayleigh-Taylor instability turbulent mixing. J Turbul. 2013; 14(3): 77–106.
- Denissen NA, Rollin B, Reisner JM, et al. The tilted rocket rig: a Rayleigh-Taylor test case for RANS models. J Fluids Eng-T ASME. 2014;136:091301.
- Gréa BJ. The dynamics of the k-ε mix model towards its self-similar Rayleigh-Taylor solution. J Turbul. 2015; 16(2): 184–202.
- Kokkinakis IW, Drikakis D, Youngs DL, et al. Two-equation and multi-fluid turbulence models for Rayleigh-Taylor mixing. Int J Heat Fluid Flow. 2015;56:233–250.
- Schwarzkopf J, Livescu D, Baltzer JR, et al. A two-length scale turbulence model for single-phase multi-fluid mixing. Flow Turbul Combust. 2016;96:1–43.
- Stalsberg-Zarling K, Gore R. The BHR2 turbulence model: incompressible isotropic decay, Rayleigh-Taylor, Kelvin-Helmholtz and homogeneous variable density turbulence. Los Alamos (NM): Los Alamos National Laboratory; 2011. (Report No.: LA-UR-11-04773).
- Joseph DD. Fluid dynamics of two miscible liquids with diffusion and gradient stresses. Eur J Mech B/Fluids. 1990;9:565–596.
- Olson BJ, Cook AW. Rayleigh-Taylor shock waves. Phys Fluids. 2007;19:128108.
- Olson BJ, Larsson J, Lele SK, et al. Non-linear effects of the combined Rayleigh-Taylor/Kelvin-Helmholtz instabilitiy. Phys Fluids. 2011;23:114107.
- Olson BJ, Greenough J. Large eddy simulation requirements for the Richtmyer-Meshkov instability. Phys Fluids. 2014;26:044103.
- Olson BJ, Greenough JA. Comparison of two- and three-dimensional simulations of miscible Richtmyer-Meshkov instability with multimode initial conditions. Phys Fluids. 2014;26:101702.
- Cook AW. Artificial fluid properties for large-eddy simulation of compressible turbulent mixing. Phys Fluids. 2007;19:055103.
- Cook AW. Enthalpy diffusion in multicomponent flows. Phys Fluids. 2009;21:055109.
- Gréa BJ, Burlot A, Godeferd F, et al. Dynamics and structure of unstably stratified homogeneous turbulence. J Turbul. 2016; 17(7): 651–663.
- Thornber B. Impact of domain size and statistical errors in simulations of homogeneous decaying turbulence and the Richtmyer-Meshkov instability. Phys Fluids. 2016;28:045106.
- Dimotakis PE. The mixing transition in turbulent flows. J Fluid Mech. 2000;409:69–98.
- Morgan BE, Greenough J. Large-eddy and unsteady RANS simulations of a shock-accelerated heavy gas cylinder. Shock Waves. 2016;26:355–383.
- McFarland JA, Reilly D, Black W, et al. Modal interactions between a large-wavelength inclined interface and small-wavelength multimode perturbations in a Richtmyer-Meshkov instability. Phys Rev E. 2015;92:013023.