On stochastic mixing caused by the Rayleigh-Taylor instability

Journal of Experimental and Theoretical Physics

Volumn 92, Issue 4, 2001, Pages 715-743

  Inogamov, N A ^a   Oparin, A M ^b   Dem'yanov, A Yu ^c   Dembitskii L N ^c   Khokhlov, V A ^a  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^b INSTITUTE FOR COMPUTER AIDED DESIGN   (Russian Federation)

^c MOSCOW INSTITUTE OF PHYSICS AND TECHNOLOGY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044525999     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1371353     Document Type: Article

References (55)

1. D. H. Sharp, Physica D (Amsterdam) 12, 3 (1984).
2. H.-J. Kull, Phys. Rep. 206, 197 (1991).
3. N. A. Inogamov, Astrophys. Space Phys. Rev. 10 (2), 1 (1999).
4. N. A. Inogamov, A. Yu. Dem'yanov, and É. E. Son, Hydrodynamics of Mixing (Mosk. Fiz.-Tekh. Inst., Moscow, 1999).
5. S. Z. Belen'kiǐ and E. S. Fradkin, Tr. Fiz. Inst. Akad. Nauk SSSR 29, 207 (1965).
6. V. E. Neuvazhaev, Prikl. Mekh. Tekh. Fiz., No. 6, 82 (1976).
7. http://esd.gsfc.nasa.gov/ESS/annual. reports/ess95contents/app.inhouse.fryxell.html.
8. O. M. Belotserkovskiǐ, Numerical Simulation in Mechanics of Continuous Media (Fizmatlit, Moscow, 1994).
9. O. M. Belotserkovskiǐ, V. A. Gushchin, and V. N. Kon'shin, Zh. Vychisl. Mat. Mat. Fiz. 27, 594 (1987).
10. O. M. Belotserkovskiǐ and A. M. Oparin, Numerical Experiment in Turbulence: from Order to Chaos (Nauka, Moscow, 2000).
11. N. A. Inogamov and A. M. Oparin, Zh. Éksp. Teor. Fiz. 116, 908 (1999)
12. [JETP 89, 481 (1999)].
13. Proceedings of the 6th International Workshop on the Physics of Compressible Turbulent Mixing, Ed. by G. Jourdan and L. Houas (Institut Universitaire des Systemes Thermiques Industriels, Marseille, 1997).
14. S. W. Haan, Phys. Rev. A 39 (11), 5812 (1989).
15. S. W. Haan, Phys. Fluids B 3 (8), 2349 (1991).
16. R. D. Richtmyer, Commun. Pure Appl. Math. 13 (2), 297 (1960).
17. E. E. Meshkov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 151 (1969).
18. S. G. Zaǐtsev, E. V. Lazareva, V. V. Chernukha, and V. M. Belyaev, Dokl. Akad. Nauk SSSR 283 (1), 94 (1985)
19. [Sov. Phys. Dokl. 30, 579 (1985)].
20. J. F. Haas and B. Sturtevant, J. Fluid Mech. 181, 41 (1987).
21. V. B. Rozanov, I. G. Lebo, S. G. Zaǐtsev, et al., Preprint No. 56, FIAN (Lebedev Institute of Physics, Academy of Sciences of USSR, Moscow, 1990).
22. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Phys. Rev. Lett. 74, 534 (1995).
23. Mathematical Encyclopedia, Ed. by I. M. Vinogradov (Sovetskaya Éntsiklopediya, Moscow, 1979).
24. S. I. Anisimov, Ya. B. Zel'dovich, N. A. Inogamov, and M. F. Ivanov, in Shock Waves, Explosions and Detonation, Ed. by M. Summerfield (AIAA, Washington, 1983), Vol. 87, p. 218.
25. N. A. Inogamov, Pis'ma Zh. Tekh. Fiz. 4 (12), 743 (1978)
26. [Sov. Tech. Phys. Lett. 4, 299 (1978)].
27. A. M. Prokhorov, S. I. Anisimov, and P. P. Pashinin, Usp. Fiz. Nauk 119 (3), 401 (1976)
28. [Sov. Phys. Usp. 19, 547 (1976)].
29. D. T. Dumitrescu, Z. Angew. Math. Mech. 23 (3), 139 (1943).
30. R. M. Davies and G. I. Taylor, Proc. R. Soc. London, Ser. A 200, 375 (1950).
31. P. R. Garabedian, Proc. R. Soc. London. Ser. A 241 (1226), 423 (1957).
32. G. Birkhoff and D. Carter, J. Math. Mech. 6 (6), 769 (1957).
33. J.-M. Vanden-Broeck, Phys. Fluids 27 (5), 1090 (1984).
34. S. I. Anisimov, A. V. Chekhlov, A. Yu. Dem'yanov, and N. A. Inogamov, Russ. J. Comput. Mech. 1, 5 (1993).
35. G. Birkhoff and E. H. Zarantonello, Jets, Wakes and Cavities (Academic, New York, 1957; Mir, Moscow, 1964).
36. M. A. Lavrent'ev and B. V. Shabat, Problems of Hydrodynamics and Their Mathematical Models (Nauka, Moscow, 1970).
37. S. F. Garanin, Vopr. At. Nauki Tekh., Ser.: Teor. Prikl. Fiz., No. 3/1, 12 (1995).
38. (S. F. Garanin, in Proceedings of the 5th International Workshop Compressible Turbulent Mixing, Ed. by D. Youngs, J. Glimm, and B. Boston (World Scientific, Singapore, 1995).)
39. P. Wilson, M. Andrews, and F. Harlow, Phys. Fluids 11 (8), 2425 (1999).
40. M. B. Schneider, G. Dimonte, and B. Remington, Phys. Rev. Lett. 80 (16), 3507 (1998).
41. D. L. Youngs, Phys. Fluids A 3 (5), 1312 (1991).
42. K. I. Read, Physica D (Amsterdam) 12 (1-3), 45 (1984).
43. Yu. V. Yanilkin, Vopr. At. Nauki Tekh., Ser.: Mat. Model. Fiz. Protsessov, No. 4, 88 (1999).
44. J. Glimm, J. W. Grove, X.-L. Li, et al., SIAM J. Sci. Comput. (USA) 19, 703 (1998).
45. 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, Ed. by G. Jourdan and L. Houas (Institut Universitaireles Systemes Thermiques Industriels, Marseille, 1997).
46. M. D. Kamechibekov, E. E. Meshkov, N. V. Nevmerzhitskiǐ, and E. A. Sotskov, Preprint No. 46-96, RFYaTs, VNIIÉF (Saroy, 1996).
47. X. He, R. Zhang, S. Chen, and G. D. Doolen, Phys. Fluids 11 (5), 1143 (1999).
48. G. Birkhoff, in Proceedings of Symposia in Applied Mathematics, Vol. XIII: Hydrodynamic Instability, Ed. by G. Birkhoff, R. Bellman, and C. C. Lin (American Mathematical Society, 1962; Mir, Moscow, 1964).
49. N. A. Inogamov, Zh. Éksp. Teor. Fiz. 107 (5), 1596 (1995)
50. [JETP 80, 890 (1995)].
51. D. L. Youngs, Physica D (Amsterdam) 12 (1-3), 32 (1984).
52. P. F. Linden, J. M. Redondo, and D. L. Youngs, J. Fluid Mech. 265, 97 (1994).
53. D. Ofer, D. Shvarts, Z. Zinamon, and S. A. Orszag, Phys. Fluids B 4, 3549 (1992).
54. D. Ofer, U. Alon, D. Shvarts, et al., Phys. Plasmas 3 (8), 3073 (1996).
55. S. I. Voropayev and Y. D. Afanasyev, Phys. Fluids A 5 (10), 2461 (1993).