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Dynamics of the bubble front in the Richtmyer–Meshkov instability

Published online by Cambridge University Press:  03 March 2004

S.I. ABARZHI
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, California

Abstract

We describe the evolution of the large-scale coherent structure of bubbles and spikes in the Richtmyer–Meshkov instability. Our multiple harmonic analysis accounts for a non-local character of the nonlinear dynamics. A new type of the evolution of the bubble front is found. A comparison to so-called “Layzer-type” local models is performed.

Type
Research Article
Copyright
© 2003 Cambridge University Press

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References

REFERENCES

Abarzhi, S.I. (2001). Asymptotic behavior of three-dimensional bubbles in the Richtmyer–Meshkov instability. Phys. Fluids 13, 28662875.Google Scholar
Abarzhi, S.I. (2002a). A new type of the evolution of the bubble front in the Richtmyer–Meshkov instability. Phys. Lett. A 294, 95100.Google Scholar
Abarzhi, S.I. (2002b). Nonlinear evolution of unstable fluid interface. Phys. Rev. E 66, art. 036301.Google Scholar
Aleshin, A.N., Lazareva, E.V., Zaytsev, S.G., Rozanov, V.B., Gamalii, E.G. & Lebo, I.G. (1990). A study of linear, nonlinear and transition stages of the Richtmyer–Meshkov instability. Dokl. Acad. Nauk SSSR 310, 11051108.Google Scholar
Alon, U., Hecht, J., Offer, D. & Shvarts, D. (1995). Power-law similarity of Rayleigh–Taylor and Richtmyer–Meshkov mixing fronts at all density ratios. Phys. Rev. Lett. 74, 534537.Google Scholar
Holmes, R., Grove, J.W. & Sharp, D.H. (1995). J. Fluid Mech. 301, 51.CrossRef
Holmes, R.L., Dimonte, G., Fryxell, B. et al. (1999). Richtmyer–Meshkov instability growth: Experiment, simulation and theory. J. Fluid Mech. 389, 5579.Google Scholar
Inogamov, N.A., Oparin, A.M., Tricottet, M. & Bouquet, S. (2001). 8th International Workshop on Physics of Compressible Turbulent mixing, Pasadena 2001, USA.
Jacobs, J. & Sheeley, M. (1996). Experimental study of incompressible Richtmyer–Meshkov instability. Phys. Fluids 8, 405415.CrossRefGoogle Scholar
Kull, H.J. (1991). Theory of the Rayleigh–Taylor instability. Phys. Rep. 206, 197325.CrossRefGoogle Scholar
Layzer, D. (1955). On the instability of superposed fluids in a gravitational field. Astrophys. J. 122, 112.Google Scholar
Meshkov, E.E. (1969). Sov. Fluid Dyn. 4, 101.
Mikaelian, K.O. (1998). Analytic approach to nonlinear Rayleigh–Taylor and Richtmyer–Meshkov instabilities. Phys. Rev. Lett. 80, 508511.Google Scholar
Oron, D., Arazi, L., Kartoon, D., Rikanati, A. & Shvarts, D. (2001). Dimensionality dependence of the Rayleigh–Taylor and Richtmyer–Meshkov instability late-time scaling laws. Phys. Plasmas 8, 28832889.Google Scholar
Richtmyer, R.D. (1960). Commun. Pure Appl. Math. 13, 297.
Volkov, N.V., Maier, A.E. & Yalovets, A.P. (2001). The nonlinear dynamics of the interface between media possessing different densities and symmetries. Tech. Phys. Lett. 27, 2024.CrossRefGoogle Scholar
Zhang, Q. (1998). Analytical solutions of Layzer-type approach to unstable interfacial fluid mixing. Phys. Rev. Lett. 81, 33913394.Google Scholar