Review of theoretical modelling approaches of Rayleigh–Taylor instabilities and turbulent mixing

References

• Abarzhi S. I.. 1996The stationary periodic flows in Rayleigh–Taylor instability:solutions multitude and its dimension. Phys. Scr. T66, 238-242(doi:10.1088/0031-8949/1996/T66/044). Crossref, ISI, Google Scholar
• Abarzhi S. I.. 1998Stable steady flows in Rayleigh–Taylor instability. Phys. Rev. Lett. 81, 337-340(doi:10.1103/PhysRevLett.81.337). Crossref, ISI, Google Scholar
• Abarzhi S. I.. 2002A new type of the evolution of the bubble front in the Richtmyer–Meshkov instability. Phys. Lett. A 294, 95-100(doi:10.1016/S0375-9601(02)00036-1). Crossref, ISI, Google Scholar
• Abarzhi S. I.. 2008Review on nonlinear coherent dynamics of unstable fluid interface:conservation laws and group theory. Phys. Scr. T132297681, 1-18. Google Scholar
• Abarzhi S. I., Nishihara K.& Glimm J.. 2003Rayleigh–Taylor and Richtmyer–Meshkov instabilities for fluids with a finite density ratio. Phys. Lett. A 317, 470(doi:10.1016/j.physleta.2003.09.013). Crossref, ISI, Google Scholar
• Abarzhi S. I., Gorobets A.& Sreenivasan K. R.. 2005Turbulent mixing in immiscible, miscible and stratified media. Phys. Fluids 17081 705.(doi:10.1063/1.2009027). Crossref, PubMed, ISI, Google Scholar
• Abarzhi S. I., Nishihara K.& Rosner R.. 2006A multi-scale character of the large-scale coherent dynamics in the Rayleigh–Taylor instability. Phys. Rev. E 73036 310. Crossref, ISI, Google Scholar
• Abarzhi S. I., Cadjun M.& Fedotov S.. 2007Stochastic model of Rayleigh–Taylor turbulent mixing. Phys. Lett. A 371, 457-461(doi:10.1016/j.physleta.2007.06.048). Crossref, ISI, Google Scholar
• Aglitskiy Y., et al.2001Direct observation of mass oscillations due to ablative Richtmyer–Meshkov instability in plastic targets. Phys. Rev. Lett. 87265 001–1.(doi:10.1103/PhysRevLett.87.265001). ISI, Google Scholar
• Aleshin A. N., Lazareva E. V., Zaytsev S. G., Rozanov V. B., Gamalii E. G.& Lebo I. G.. 1990Linear, nonlinear and transitional stages in the development of the Richtmyer–Meshkov instability. Sov. Phys. Dokl. 35, 159. Google Scholar
• Alon U., Hecht J., Mukamel D.& Shvarts D.. 1994Scale-invariant mixing rate of hydrodynamically unstable interfaces. Phys. Rev. Lett. 72, 2867-2870(doi:10.1103/PhysRevLett.72.2867). Crossref, PubMed, ISI, Google Scholar
• Alon U., Hecht J., Offer D.& Shvarts D.. 1995Power-laws and similarity of Rayleigh–Taylor and Richtmyer–Meshkov mixing fronts at all density ratios. Phys. Rev. Lett. 74, 534(doi:10.1103/PhysRevLett.74.534). Crossref, PubMed, ISI, Google Scholar
• Baker G., Caflisch R. E.& Siegel M.. 1993Singularity formation during Rayleigh–Taylor instability. J. Fluid Mech. 252, 51-78(doi:10.1017/S0022112093003660). Crossref, ISI, Google Scholar
• Barenblatt G. I.. 1979Similarity, self-similarity and intermediate asymptoticsNew York, NYConsultants Bureau. Crossref, Google Scholar
• Barnes J. F., Blewett P. J., McQuenn R. G., Meyer K. A.& Venable D.. 1974Taylor instability in solids. J. Appl. Phys. 45, 727(doi:10.1063/1.1663310). Crossref, ISI, Google Scholar
• Batchelor G. K.. 1953The theory of homogeneous turbulenceCambridge, UKCambridge University Press. Google Scholar
• Belen’ki S. Z.& Fradkin E. S.. 1965Theory of turbulent mixing. Trudi FIAN 29, 207-233[In Russian.]. Google Scholar
• Bell J. B., Garcia A. L.& Williams S. A.. 2007Numerical methods for the stochastic Landau–Lifshitz Navier–Stokes equations. Phys. Rev. E 76016 708. (doi:10.1103/PhysRevE.76.016708). Crossref, ISI, Google Scholar
• Bellman R.& Pennington R. H.. 1954Effects of surface tension and viscosity on Taylor instability. Quart. Appl. Math. 12, 151. Crossref, ISI, Google Scholar
• Berning M.& Rubenchik A. M.. 1998A weakly nonlinear theory for the dynamical Rayleigh–Taylor instability. Phys. Fluids 10, 1564-1587(doi:10.1063/1.869677). Crossref, ISI, Google Scholar
• Bernstein I. B.& Book D. L.. 1983Effect of compressibility on the Rayleigh–Taylor instability. Phys. Fluids 26, 453-458(doi:10.1063/1.864158). Crossref, ISI, Google Scholar
• Besnard D.. 2007The megajoule laser program—ignition at hand. Eur. Phys. J. D 44, 207-213(doi:10.1140/epjd/e2006-00165-4). Crossref, ISI, Google Scholar
• Besnard D. C., Harlow F. H., Rauenzahn R. M.& Zemach C.. 1996Spectral transport model for turbulence. Theor. Comput. Fluid Dyn. 8, 1-35(doi:10.1007/BF00312400). Crossref, ISI, Google Scholar
• Birkhoff G.& Carter D.. 1957Rising plane bubbles. J. Math. Mech. 6, 769-779. Google Scholar
• Bodner S. E.. 1974Rayleigh–Taylor instability and laser-pellet fusion. Phys. Rev. Lett. 33, 761-764(doi:10.1103/PhysRevLett.33.761). Crossref, ISI, Google Scholar
• Bodner S. E., et al.1998Direct-drive laser fusion:status and prospects. Phys. Plasmas 5, 1901(doi:10.1063/1.872861). Crossref, ISI, Google Scholar
• Brouillette M.. 2002The Richtmyer–Meshkov instability. Annu. Rev. Fluid Mech. 34, 445-468(doi:10.1146/annurev.fluid.34.090101.162238). Crossref, ISI, Google Scholar
• Calder A. C., et al.2002On validating an astrophysical simulation code. Astrophys. J. Suppl. Ser. 143, 201(doi:10.1086/342267). Crossref, ISI, Google Scholar
• Chertkov M.. 2003Phenomenology of Rayleigh–Taylor turbulence. Phys. Rev. Lett. 91115 001. (doi:10.1103/PhysRevLett.91.115001). Crossref, PubMed, ISI, Google Scholar
• Choi J. P.& Chan V. W. S.. 2002Predicting and adapting satellite channels with weather-induced impairments. IEEE Trans. Aerosp. Electron. Syst. 38, 779-790(doi:10.1109/TAES.2002.1039399). Crossref, ISI, Google Scholar
• Clarisse J.-M., Boudesocque-Dubois C.& Gauthier S.. 2008Linear perturbation response in self-similar ablative flows relevant to inertial confinement fusion. J. Fluid Mech. 609, 1-48(doi:10.1017/S0022112008002279). Crossref, ISI, Google Scholar
• Clavin P.& Williams F.. 2005Asymptotic spike evolution in Rayleigh–Taylor instability. J. Fluid Mech. 525, 105-113(doi:10.1017/S0022112004002630). Crossref, ISI, Google Scholar
• Collins T. J. B., et al.2004Reduction of the ablative Rayleigh–Taylor growth rate with Gaussian picket pulses. Phys. Plasmas 11, 1569(doi:10.1063/1.1649994). Crossref, ISI, Google Scholar
• Cook A. W.& Dimotakis P. E.. 2001Transition stages of Rayleigh–Taylor instability between miscible fluids. J. Fluid Mech. 443, 69(doi:10.1017/S0022112001005377). Crossref, ISI, Google Scholar
• Dalziel S. B., Linden P. F.& Youngs D. L.. 1999Self-similarity and internal structure of turbulence induced by Rayleigh–Taylor instability. J. Fluid Mech. 399, 1-48(doi:10.1017/S002211209900614X). Crossref, ISI, Google Scholar
• Davies R. M.& Taylor G. I.. 1950The mechanics of large bubbles rising through extended liquids and through liquids in tubes. Proc. R. Soc. Lond. A 200, 375(doi:10.1098/rspa.1950.0023). Google Scholar
• Dimonte G.. 2000Spanwise homogeneous buoyancy-drag model for Rayleigh–Taylor mixing and experimental evaluation. Phys. Plasmas 7, 2255-2269(doi:10.1063/1.874060). Crossref, ISI, Google Scholar
• Dimonte G., et al.2004A comparative study of the turbulent Rayleigh-Taylor instability using high-resolution three-dimensional numerical simulations:the Alpha-Group collaboration. Phys. Fluids 16, 1668-1693(doi:10.1063/1.1688328). Crossref, ISI, Google Scholar
• Dimotakis P. E.. 2000The mixing transition in turbulent flows. J. Fluid Mech. 409, 69-98(doi:10.1017/S0022112099007946). Crossref, ISI, Google Scholar
• Drake R. P.. 2009Perspectives of high energy density physics. Phys. Plasmas 16055 501. (doi:10.1063/1.3078101). Crossref, ISI, Google Scholar
• Duff R., Harlow F.& Hirt C.. 1962Effects of diffusion on interface instability between gases. Phys. Fluids 5, 417(doi:10.1063/1.1706634). Crossref, ISI, Google Scholar
• Evans D. J.& Morriss G. P.. 2008Statistical mechanics of non-equilibrium liquidsCambridge, UKCambridge University Press2nd edn. Crossref, Google Scholar
• Fermi E.& von Newman J.. 1951Taylor instability of an incompressible liquid. The collected papers of Enrico Fermi& Segre E.Chicago, ILThe University of Chicago Pressvol. 2, p. 816. Google Scholar
• Frisch U.. 1995Turbulence:the legacy of A. N. KolmogorovCambridge, UKCambridge University Press. Crossref, Google Scholar
• Gamaly E. G.. 1993Hydrodynamic instability of target implosion in ICF. Nuclear fusion by inertial confinement fusion:a comprehensive treatiseBoca Raton, FLCRC PressG. Velarde Y. Ronen and J. M. Martinez–Val (eds), , pp. 321–349. Google Scholar
• Garabedian P. R.. 1957On steady-state bubbles generated by Taylor instability. Proc. R. Soc. Lond. A 241, 423(doi:10.1098/rspa.1957.0137). Google Scholar
• Gardner G., Glimm J., McBryan O., Menikoff R., Sharp D. H.& Zhang Q.. 1988The dynamics of bubble growth for Rayleigh–Taylor instability. Phys. Fluids 31, 447(doi:10.1063/1.866826). Crossref, ISI, Google Scholar
• Gauthier S.& Bonnet M.. 1990A k – e model for turbulent mixing in shocktube flows induced by Rayleigh–Taylor instability. Phys. Fluids A 2, 1685(doi:10.1063/1.857576). Crossref, Google Scholar
• Gauthier S.& Le Creurer B.. 2010Compressibility effects in Rayleigh–Taylor instability-induced flows. Phil. Trans. R. Soc. A 368, 1681-1704(doi:10.1098/rsta.2009.0139). Link, ISI, Google Scholar
• George E., Glimm J., Li X.-L., Marchese A.& Xu Z.-L.. 2002A comparison of experimental theoretical, and numerical simulation Rayleigh–Taylor mixing rates. Proc. Natl Acad. Sci. USA 99, 2587(doi:10.1073/pnas.032568799). Google Scholar
• Glimm J.& Sharp D. H.. 1990Chaotic mixing as a renormalization-group fixed-point. Phys. Rev. Lett. 64, 2137-2139(doi:10.1103/PhysRevLett.64.2137). Crossref, PubMed, ISI, Google Scholar
• Gutman E. J., Schadow K. C.& Yu K. H.. 1995Mixing enhancement in supersonics free shear flows. Annu. Rev. Fluids 27, 375-417(doi:10.1146/annurev.fl.27.010195.002111). Crossref, ISI, Google Scholar
• Haan S. W.. 1991Weakly nonlinear hydrodynamic instabilities in inertial fusion. Phys. Fluids B 3, 2349-2355(doi:10.1063/1.859603). Crossref, Google Scholar
• He X. Y., Zhang R. Y., Chen S. Y.& Doolen G. D.. 1999On the three-dimensional Rayleigh–Taylor instability. Phys. Fluids 11, 1143(doi:10.1063/1.869984). Crossref, ISI, Google Scholar
• Herrmann M., Moin P.& Abarzhi S. I.. 2008Nonlinear evolution of the Richtmyer–Meshkov instability. J. Fluid Mech. 612, 311-338(doi:10.1017/S0022112008002905). Crossref, ISI, Google Scholar
• Hillebrandt W.& Niemeyer J. C.. 2000Type Ia supernova explosion models. Annu. Rev. Astron. Astrophys. 38, 191(doi:10.1146/annurev.astro.38.1.191). Crossref, ISI, Google Scholar
• Holmes R. L., et al.1999Richtmyer–Meshkov instability growth:experiment, simulation and theory. J. Fluid Mech. 389, 55-79(doi:10.1017/S0022112099004838). Crossref, ISI, Google Scholar
• Hoover W.. 1991Computational statistical mechanicsBarking, UKElsevier Science Publishers. Studies in Modern Thermodynamics Series VII. Google Scholar
• Ikegawa T.& Nishihara K.. 2003Saturation and postsaturation phenomena of Rayleigh–Taylor instability with adjacent modes. Phys. Rev. E 67026 404. (doi:10.1103/PhysRevE.67.026404). Crossref, ISI, Google Scholar
• Inogamov N. A.. 1992Higher order Fourier approximations and exact algebraic solutions in the theory of hydrodynamic Rayleigh–Taylor instability. JETP Lett. 55, 521-525. ISI, Google Scholar
• Jacobs J. W.& Krivets V. V.. 2005Experiments on the late-time development of single-mode Richtmyer–Meshkov instability. Phys. Fluids 17034 105. (doi:10.1063/1.1852574). Crossref, PubMed, ISI, Google Scholar
• Kadau K., Rosenblatt C., Barber J. L., Germann T. C., Huang Z. B., Carles P.& Alder B. J.. 2007The importance of fluctuations in fluid mixing. Proc. Natl Acad. Sci. USA 104, 7741–7745(doi:10.1073/pnas.0702871104). Google Scholar
• Kaminow I. P., et al.1996A wideband all-optical WDM network. IEEE J. Selec. Areas Commun. 14, 780-799(doi:10.1109/49.510903). Crossref, ISI, Google Scholar
• Kolmogorov A. N.. 1941aLocal structure of turbulence in an incompressible fluid for very large Reynolds numbers. Dokl. Akad. Nauk. SSSR 30, 299-303. Google Scholar
• Kolmogorov A. N.. 1941bEnergy dissipation in locally isotropic turbulence. Dokl. Akad. Nauk. SSSR 32, 19-21. Google Scholar
• Kucherenko Y. A., Shestachenko O. E., Balabin S. I.& Pylaev A. P.. 2003RFNC-VNIITF multi-functional shock tube for investigating the evolution of instabilities in non-stationary gas dynamic flows. Laser Part. Beams 21, 381-384(doi:10.1017/S0263034603213148). Crossref, ISI, Google Scholar
• Kull F.. 1991Theory of Rayleigh–Taylor instability. Phys. Rep. 206, 197(doi:10.1016/0370-1573(91)90153-D). Crossref, ISI, Google Scholar
• Landau L. D.& Lifshitz E. M.. 1987Course of theoretical physics. I: Mechanics; VI: Fluid mechanicsNew York, NYPergamon Press. Google Scholar
• Layzer D.. 1955On the instability of superposed fluids in a gravitational field. Astrophys. J. 122, 1(doi:10.1086/146048). Crossref, ISI, Google Scholar
• Lukyanchuk B., Bityurin N., Anisimov S.& Bauerle D.. 1993aThe role of excited species in UV-laser material ablation. 1. Photophysical ablation of organic polymers. Appl. Phys. A 57, 367-374(doi:10.1007/BF00332291). Crossref, ISI, Google Scholar
• Lukyanchuk B., Bityurin N., Anisimov S.& Bauerle D.. 1993bThe role of excited species in UV-laser material ablation. 2. The stability of ablation front. Appl. Phys. A 57, 449-455. Crossref, ISI, Google Scholar
• Marinak M. M., Glendinning S. G., Wallace R. J., Remington B. A., Budil K. S., Haan S. W., Tipton R. E.& Kilkenny J. D.. 1998Nonlinear Rayleigh–Taylor evolution of a three-dimensional multimode perturbation. Phys. Rev. Lett. 80, 4426(doi:10.1103/PhysRevLett.80.4426). Crossref, ISI, Google Scholar
• Marmottant P.& Villermaux E.. 2004On spray formation. J. Fluid Mech. 498, 73(doi:10.1017/S0022112003006529). Crossref, ISI, Google Scholar
• Mikaelian K. O.. 1996Rayleigh–Taylor instability in finite-thickness fluids with viscosity and surface tension. Phys. Rev. E 54, 3676-3680(doi:10.1103/PhysRevE.54.3676). Crossref, ISI, Google Scholar
• Milovich J. L., Amendt P., Marinak M.& Robey H.. 2004Multi-mode short wavelength perturbation growth studies for the National Ignition Facility double-shell ignition target design. Phys. Plasmas 11, 1552(doi:10.1063/1.1646161). Crossref, ISI, Google Scholar
• Mima K.. 2004Present status and future prospects of IFE and high power laser research in Asia. Nucl. Fusion 44, S129-S133(doi:10.1088/0029-5515/44/12/S02). Crossref, ISI, Google Scholar
• Meshkov E. E.. 1969Instability of the interface of two gases accelerated by a shock. Sov. Fluid. Dyn. 4, 101(doi:10.1007/BF01015969). Crossref, Google Scholar
• Meshkov E. E.. 2006Studies of hydrodynamic instabilities in laboratory experimentsSarov, RussiaRFYC-VNIIEF.[In Russian.]. Google Scholar
• Monin A. S.& Yaglom A. M.. 1975Statistical fluid mechanicsCambridge, MAMIT Pressvol. 2. Google Scholar
• Orlov S. S., Abarzhi S. I., Oh S. B., Barbastathis G.& Sreenivasan K. R.. 2010High-performance holographic technologies for fluid dynamic experiments. Phil. Trans. R. Soc. A 368, 1705-1737(doi:10.1098/rsta.2009.0285). Link, ISI, Google Scholar
• Perez D.& Lewis L. J.. 2002Ablation of solids under femtosecond laser pulses. Phys. Rev. Lett. 89255 504. (doi:10.1103/PhysRevLett.89.255504). Crossref, ISI, Google Scholar
• Piriz A. R.. 2001Hydrodynamic instability of ablation fronts in inertial confinement fusion. Phys. Plasmas 8, 997-1002(doi:10.1063/1.1344194). Crossref, ISI, Google Scholar
• Piriz A. R., Cela J. J. L., Cortazar O. D., Tahir N. A.& Hoffmann D. H. H.. 2005Rayleigh–Taylor instability in elastic solids. Phys. Rev. E 72056 313. (doi:10.1103/PhysRevE.72.056313). Crossref, ISI, Google Scholar
• Pumir A.& Siggia E. D.. 1992Finite-time singularities in the axisymmetrical 3-dimensional Euler equations. Phys. Rev. Lett. 68, 1511-1514(doi:10.1103/PhysRevLett.68.1511). Crossref, PubMed, ISI, Google Scholar
• Ramaprabhu P.& Andrews M. J.. 2003Experimental investigation of Rayleigh–Taylor mixing at small Atwood numbers. J. Fluid Mech. 503, 233-271. Google Scholar
• Rayleigh L.. 1883Investigations of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc. 14, 170-177(doi:10.1112/plms/s1-14.1.170). Google Scholar
• Read K. I.. 1984Experimental investigation of turbulent mixing by Rayleigh–Taylor instability. Physica D 12, 45-58(doi:10.1016/0167-2789(84)90513-X). Crossref, ISI, Google Scholar
• Remington B. A., Drake R. P.& Ryutov D. D.. 2006Experimental astrophysics with high power lasers and Z-pinches. Rev. Mod. Phys. 78, 755(doi:10.1103/RevModPhys.78.755). Crossref, ISI, Google Scholar
• Reynolds O.. 1883An experimental investigation of the circumstances which determine where the motion of water shall be direct or sinuous and of the law of resistance in parallel channels. Phil. Trans. R. Soc. Lond. 174, 84-99. Link, Google Scholar
• Richtmyer R. D.. 1960Taylor instability in shock acceleration of compressible fluids. Commun. Pure Appl. Math. 13, 297(doi:10.1002/cpa.3160130207). Crossref, ISI, Google Scholar
• Ristorcelli J. R.& Clark T. T.. 2004Rayleigh–Taylor turbulence:self-similar analysis and direct numerical simulation. J. Fluid Mech. 507, 213-253(doi:10.1017/S0022112004008286). Crossref, ISI, Google Scholar
• Robey H. F., Zhou Y., Bukingham A. C., Keiter P., Remington B. A.& Drake R. P.. 2003The time scale for the transition to turbulence in a high Reynolds number, accelerated flow. Phys. Plasmas 10, 614-622(doi:10.1063/1.1534584). Crossref, ISI, Google Scholar
• Rosner R.. 2003Solar physics:heat exposure. Nature 425, 672(doi:10.1038/425672a). Crossref, PubMed, ISI, Google Scholar
• Rupert V.. 1992Shock-interface interaction:current research on the Richtmyer–Meshkov instability in shock waves. Proc. 18th Int. Symp. Shock Waves& Takayama K.In Berlin, GermanySpringer. Google Scholar
• Ryutov D. D., Derzon M. S.& Matzen M. K.. 2000The physics of fast Z pinches. Rev. Mod. Phys. 72, 167(doi:10.1103/RevModPhys.72.167). Crossref, ISI, Google Scholar
• Sanz J.. 1994Self-consistent analytical model of the Rayleigh–Taylor instability in inertial confinement fusion. Phys. Rev. Lett. 73, 2700-2703(doi:10.1103/PhysRevLett.73.2700). Crossref, PubMed, ISI, Google Scholar
• Schneider M., Dimonte G.& Remington B.. 1998Large and small scale structures in Rayleigh–Taylor mixing. Phys. Rev. Lett. 80, 3507(doi:10.1103/PhysRevLett.80.3507). Crossref, ISI, Google Scholar
• Sharp D. H.. 1984An overview of Rayleigh–Taylor instability. Physica D 12, 3(doi:10.1016/0167-2789(84)90510-4). Crossref, ISI, Google Scholar
• Spalart P. R.& Watmuff J. H.. 1993Experimental and numerical study of a turbulent boundary layer with pressure gradients. J. Fluid Mech. 249, 337-371(doi:10.1017/S002211209300120X). Crossref, ISI, Google Scholar
• Sreenivasan K. R.. 1999Fluid turbulence. Rev. Mod. Phys. 71, S383-S395(doi:10.1103/RevModPhys.71.S383). Crossref, ISI, Google Scholar
• Steinkamp M. J., Clark T. T.& Harlow F. H.. 1999aTwo-point description of two-fluid turbulent mixing—I. Model formulation. Int. J. Multiph. Flow 25, 599-637(doi:10.1016/S0301-9322(98)00064-0). Crossref, ISI, Google Scholar
• Steinkamp M. J., Clark T. T.& Harlow F. H.. 1999bTwo-point description of two-fluid turbulent mixing—II Numerical solutions and comparisons with experiments. Int. J. Multiph. Flow 25, 639-682. Crossref, ISI, Google Scholar
• Stone J. M., Hawley J. F., Gammie C. F.& Balbus S. A.. 1996Three-dimensional magnetohydrodynamical simulations of vertically stratified accretion disks. Astrophys. J. 463, 656-673(doi:10.1086/177280). Crossref, ISI, Google Scholar
• Tanveer S.. 1993Singularities in the classical Rayleigh–Taylor flow–formation and subsequent motion. Proc. R. Soc. Lond. A 441, 501-525(doi:10.1098/rspa.1993.0076). Google Scholar
• Taylor G. I.. 1935Statistical theory of turbulence. Proc. R. Soc. Lond. A 151, 421-444(doi:10.1098/rspa.1935.0158). Google Scholar
• Velikovich A. L.& Dimonte G.. 1996Nonlinear perturbation theory of the incompressible Richtmyer–Meshkov instability. Phys. Rev. Lett. 76, 3112-3115(doi:10.1103/PhysRevLett.76.3112). Crossref, PubMed, ISI, Google Scholar
• Waddell J. T., Niederhaus C. E.& Jacobs J. W.. 2001Experimental study of Rayleigh–Taylor instability:low Atwood number liquid systems with single-mode initial perturbations. Phys. Fluids 13, 1263-1273(doi:10.1063/1.1359762). Crossref, ISI, Google Scholar
• Wouchuk J. G.. 2001aGrowth rate of the linear Richtmyer–Meshkov instability when a shock is reflected. Phys. Rev. E 63056 303. (doi:10.1103/PhysRevE.63.056303). Crossref, ISI, Google Scholar
• Wouchuk J. G.. 2001bGrowth rate of the Richtmyer–Meshkov instability when a rarefaction is reflected. Phys. Plasmas 8, 2890-2907. Crossref, ISI, Google Scholar
• Wu S. J.. 2006Mathematical analysis of vortex sheets. Commun. Pure Appl. Math. 59, 1065-1206(doi:10.1002/cpa.20110). Crossref, ISI, Google Scholar
• Young Y.-N., Tufo H., Dubey A.& Rosner R.. 2001On the miscible Rayleigh–Taylor instability:two and three dimensions. J. Fluid Mech. 447, 377. Crossref, ISI, Google Scholar
• Youngs D. L.. 1984Numerical simulations of turbulent mixing by Rayleigh–Taylor instability. Physica D 12, 32-44(doi:10.1063/1.858059). Crossref, ISI, Google Scholar
• Youngs D. L.. 1991Three-dimensional numerical simulations of turbulent mixing by Rayleigh–Taylor instability. Phys. Fluids A 3, 1312-1320(doi:10.1063/1.858059). Crossref, Google Scholar
• Zel’dovich Y. B.& Raizer Y. P.. 2002Physics of shock waves and high-temperature hydrodynamic phenomenaNew York, NYDover2nd edn. Google Scholar
• Zhakhovskii V. V., Zybin S. V., Abarzhi S. I.& Nishihara K.. 2006Atomistic dynamics of Richtmyer–Meshkov instability in cylindrical and planar geometries. Am. Inst. Phys. Conf. Proc. 845, 433-436. Google Scholar
• Zhou Y., et al.2003Progress in understanding turbulent mixing induced by Rayleigh–Taylor and Richtmyer–Meshkov instabilitie. Phys. Plasmas 10, 1883-1896(doi:10.1063/1.1560923). Crossref, ISI, Google Scholar
• Zybin S. V., Zhakhovskii V. V., Bringa E. M., Abarzhi S. I.& Remington B.. 2006Molecular dynamics simulations of Richtmyer–Meshkov instability. Am. Inst. Phys. Conf. Proc. 845. Google Scholar