Abstract
Dynamics of turbulent mixing due to the Rayleigh-Taylor instability is considered. The mixing layer consists of a single horizontal array of large-scale structures. The characteristics of these structures are studied by the spectral and statistical methods. Mixing stimulation by long-wavelength noise is studied. It is demonstrated that, for typical homogeneous unscaled noise, self-similarity h∝t 2 is retained. The threshold amplitude of random broadband noise is determined, below which this noise can be ignored. The mixing deceleration by the side boundaries is studied. The stimulation and deceleration effects sizably influence the mixing coefficient α+, increasing and decreasing it, respectively.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. H. Sharp, Physica D (Amsterdam) 12, 3 (1984).
H.-J. Kull, Phys. Rep. 206, 197 (1991).
N. A. Inogamov, Astrophys. Space Phys. Rev. 10(2), 1 (1999).
N. A. Inogamov, A. Yu. Dem’yanov, and É. E. Son, Hydrodynamics of Mixing (Mosk. Fiz.-Tekh. Inst., Moscow, 1999).
É. I. Asinovskii, V. A. Zeigarnik, E. F. Lebedev, et al., Pulsed MHD Transformers of Chemical Energy into Electrical Power, Ed. by A. E. Sheindlin and V. E. Fortov (Énergoatomizdat, Moscow, 1997).
J. Kane, D. Arnett, B. A. Remington, et al., Phys. Plasmas 6(5), 2065 (1999).
O. M. Belotserkovskii, Numerical Simulation in Mechanics of Continuous Media (Fizmatgiz, Moscow, 1994, 2nd ed.).
O. M. Belotserkovskii and A. M. Oparin, Numerical Experiment in Turbulence: From Order to Chaos (Nauka, Moscow, 2000, 2nd ed.).
O. M. Belotserkovskii, V. A. Gushchin, and V. N. Kon’shin, Zh. Vychisl. Mat. Mat. Fiz. 27, 594 (1987).
A. M. Oparin, in New in Numerical Simulation: Algorithms, Computing Experiments, Results, Ed. by A. S. Kholodov (Nauka, Moscow, 2000), p. 63.
S. Z. Belen’kii and E. S. Fradkin, Tr. Fiz. Inst. Akad. Nauk SSSR 29, 207 (1965).
V. E. Neuvazhaev, Prikl. Mekh. Tekh. Fiz., No. 6, 82 (1976).
N. A. Inogamov, Pis’ma Zh. Tekh. Fiz. 4, 743 (1978) [Sov. Tech. Phys. Lett. 4, 299 (1978)].
M. B. Schneider, G. Dimonte, and B. Remington, Phys. Rev. Lett. 80, 3507 (1998).
D. L. Youngs, Phys. Fluids A 3, 1312 (1991).
K. I. Read, Physica D (Amsterdam) 12, 45 (1984).
Yu. V. Yanilkin, Vopr. At. Nauki Tekh., Ser.: Mat. Mod. Fiz. Protsessov, No. 4, 88 (1999).
J. Glimm, J. W. Grove, X.-L. Li, et al., SIAM J. Sci. Comput. (USA) 19, 703 (1998).
N. N. Anuchina, N. S. Es’kov, A. V. Polionov, et al., in Proceedings of the 6th International Workshop on the Physics of Compressible Turbulent Mixing (Imprimerie Caractere, Marseille, 1997).
M. D. Kamchibekov, E. E. Meshkov, N. V. Nevmerzhitskii, and E. A. Sotskov, Turbulent Mixing at the Cylindrical Gas-Liquid Interface, Preprint No. 46-96, VNIIÉF, RFYaTs (All-Russia Research Institute of Experimental Physics, Russian Federal Nuclear Center, Sarov, 1996).
U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Phys. Rev. Lett. 74, 534 (1995).
D. Ofer, U. Alon, D. Shvarts, et al., Phys. Plasmas 3, 3073 (1996).
S. I. Anisimov, Ya. B. Zel’dovich, N. A. Inogamov, and M. F. Ivanov, in Shock Waves, Explosions and Detonation, Ed. by J. R. Bowen, J.-C. Leyer, and R. I. Soloukhin (AIAA, Washington, DC, 1983); Prog. Astronaut. Aeronaut. 87, 218 (1983).
N. A. Inogamov and A. M. Oparin, Zh. Éksp. Teor. Fiz. 116, 908 (1999) [JETP 89, 481 (1999)].
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 10, 2000, pp. 704–710.
Original Russian Text Copyright © 2000 by Oparin, Inogamov, Dem’yanov.