Self-similarity of two flows induced by instabilities

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 6 2, 2003, Pages 663051-6630516

  Clark, Timothy T ^a   Zhou, Ye ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; GRAVITATION; KINETIC ENERGY; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; POTENTIAL ENERGY; REYNOLDS NUMBER; TURBULENT FLOW;

ISOTROPIC TURBULENCE; RAYLEIGH-TAYLOR INSTABILITY;

MULTIPHASE FLOW;

EID: 1442306002     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Lord Rayleigh, Scientific Papers. Volume 2 (Cambridge University Press, Cambridge, U.K., 1900).
2. G. I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
3. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961).
4. T. T. Clark and C. Zemach, Phys. Fluids 10, 2846 (1998).
5. D. H. Sharp, Physica D 12, 3 (1984).
6. D. L. Youngs, Physica D 12, 32 (1984).
7. P. E. Dimotakis, J. Fluid Mech. 409, 69 (2000).
8. D. H. Sharp and J. A. Wheeler, Institute for Defense Analyses report, 1961 (unpublished).
9. D. Saltz, W. Lee, and T.-R. Hsiang, Phys. Fluids 12, 2461 (2000).
10. T. T. Clark, Phys. Fluids 15, 2413 (2003).
11. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Phys. Rev. Lett. 74, 534 (1995).
12. Y. Chen, J. Glimm, D. H. Sharp, and Q. Zhang, Phys. Fluids 8, 816 (1996).
13. D. Shvarts, D. Oron, D. Kartoon, A. Rikanati, O. Sadot, Y. Srebro, Y. Yedvab, D. Ofer, A. Levin, E. Sarid, G. Ben-Dor, L. Erez, G. Erez, A. Yosef-Hai, U. Alon, and L. Arazi, C. R. Acad. Sci., Ser. IV 1, 719 (2000).
14. D. Oron, L. Arazi, D. Kartoon, A. Rikanati, U. Alon, and D. Shvarts, Phys. Plasmas 8, 2883 (2001).
15. J. R. Ristorcelli and T. T. Clark, J. Fluids Mech. (to be published).
16. Y. Chen, Y. Deng, J. Glimm, G. Li, Q. Zhang, and D. H. Sharp, Phys. Fluids A 5, 2929 (1993).
17. B. Cheng, J. Glimm, and D. H. Sharp, Chaos 12, 267 (2002).
18. J. Glimm, D. Saltz, and D. H. Sharp, Phys. Lett. A 222, 171 (1996).
19. B. Cheng, J. Glimm, and D. H. Sharp, Phys. Lett. A 268, 366 (2000).
20. K. I. Read, Physica D 23, 45 (1984).
21. Yu. A. Kucherenko, L. I. Shibarshev, V. I. Chitaikin, S. I. Balabin, and A. P. Pylaev (unpublished).
22. M. B. Schneider, G. Dimonte, and B. Remington, Phys. Rev. Lett. 80, 3507 (1998).
23. G. Dimonte and M. Schneider, Phys. Fluids 12, 304 (2000).
24. P. E. Dimotakis, in High-Speed-Flight Propulsion Systems, edited by S. N. B. Murthy and E. T. Curran, special issue of Prog. Astronaut. Aeronaut. 137, 265 (1991).
25. J. H. Bell and R. D. Mehta, AIAA J. 28, 2034 (1990).
26. D. Besnard, F. H. Harlow, R. Rauenzahn, and C. Zemach, Theor. Comput. Fluid Dyn. 8, 1 (1996).
27. Y. Zhou, Phys. Fluids 13, 538 (2001).
28. P. G. Saffman, J. Fluid Mech. 27, 581 (1967).
29. N. A. Inogamov, Sov. Tech. Phys. Lett. 4, 299 (1978).
30. N. A. Inogamov, A. V. Chekhlov, Al. Yu. Dem'yanov, S. I. Anisimov, and O. M. Belotserkovskii, Proceedings of the Third International Workshop on the Physics and Computing of Turbulent Mixing, edited by R. Dautray (Commissariat Energie Atomique, Cesta, France, 1999), p. 409.
31. G. Dimonte (private communication).
32. J. Glimm, D. Saltz, and D. H. Sharp, Phys. Rev. Lett. 80, 712 (1998).
33. J. Glimm, D. Saltz, and D. H. Sharp, J. Fluid Mech. 378, 119 (1999).
34. G. Dimonte, Phys. Plasmas 6, 2009 (1999).