Single-mode dynamics of the Rayleigh-Taylor instability at any density ratio

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

Volumn 71, Issue 3, 2005, Pages

  Ramaprabhu, P ^a   Dimonte, Guy ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BERNOULLI EQUATIONS; DENSITY RATIO; LAYZER'S APPROXIMATION; POTENTIAL FLOW THEORY; RAYLEIGH-TAYLOR BUBBLES;

APPROXIMATION THEORY; BESSEL FUNCTIONS; BUBBLES (IN FLUIDS); CHAOS THEORY; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; FLOW OF FLUIDS; PERTURBATION TECHNIQUES; TURBULENT FLOW; VELOCITY MEASUREMENT;

FLUID DYNAMICS;

EID: 37649031192     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.036314     Document Type: Article

References (38)

1. Lord Rayleigh, Scientific Papers II (Cambridge University Press, Cambridge, England, 1900).
2. G. I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
3. S. F. Gull, Mon. Not. R. Astron. Soc. 171, 263 (1975).
4. J. D. Lindl, Inertial Confinement Fusion: The Quest for Ignition and Energy Gain Using Indirect Drive (AIP, Woodbury, NY, 1998).
5. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, Oxford, 1961).
6. J. Glimm and X. L. Li, Phys. Fluids 31, 2077 (1988).
7. D. Shvarts, U. Alon, D. Ofer, R. L. McCrory, and C. P. Verdon, Phys. Plasmas 2, 2465 (1995).
8. Guy Dimonte, Phys. Rev. E 69, 056305 (2004).
9. G. Birkhoff, University of California Report No. LA-1862, 1955 (unpublished).
10. R. M. Davies and G. I. Taylor, Proc. R. Soc. London, Ser. A 200, 375 (1950).
11. D. Layzer, Astrophys. J. 122, 1 (1955).
12. K. O. Mikaelian, Phys. Rev. E 67, 026319 (2003).
13. R. Collins, J. Fluid Mech. 28, 97 (1967).
14. Q. Zhang, Phys. Rev. Lett. 81, 3391 (1998).
15. J. Hecht, U. Alon, and D. Shvarts, Phys. Fluids 6, 4019 (1994).
16. J. Hecht, D. Ofer, U. Alon, D. Shvarts, S. A. Orszag, and R. L. McCrory, Laser Part. Beams 13, 423 (1995).
17. V. N. Goncharov, Phys. Rev. Lett. 88, 134502 (2002).
18. S-I. Sohn, Phys. Rev. E 67, 026301 (2003).
19. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Phys. Rev. Lett. 74, 534 (1995).
20. D. Oron et al., Phys. Plasmas 8, 2883 (2001).
21. R. S. Scorer, J. Fluid Mech. 2, 583 (1957).
22. S. I. Abarzhi, K. Nishihara, and J. Glimm, Phys. Lett. A 317, 470 (2003).
23. M. J. Andrews, Int. J. Numer. Methods Fluids 21, 205 (1995).
24. B. Van Leer, J. Comput. Phys. 23, 276 (1977).
25. D. L. Youngs, in Proceedings of 16th AIAA Computational Fluid Dynamics Conference, 2003, AIAA Report No. 2003-4102 (unpublished).
26. X. L. Li, Phys. Fluids 8, 336 (1996).
27. Guy Dimonte et al., Phys. Fluids 16, 1668 (2004).
28. P. Ramaprabhu, Guy Dimonte, and M. J. Andrews (unpublished).
29. S. I. Abarzhi (private communication).
30. V. N. Goncharov (private communication).
31. X. L. Li, B. X. Jin, and J. Glimm, J. Comput. Phys. 126, 343 (1996).
32. X. L. Li, Phys. Fluids A 5, 1904 (1993).
33. X. He et al., Phys. Fluids 11, 1143 (1999).
34. G. Tryggvason and S. O. Unverdi, Phys. Fluids A 2, 656 (1990).
35. B. J. Daly, Phys. Fluids 10, 297 (1967).
36. A. Oparin and S. Abarzhi, Phys. Fluids 11, 3306 (1999).
37. Guy Dimonte and M. Schneider, Phys. Fluids 12, 304 (2000); M. Schneider, Guy Dimonte, and B. Remington, Phys. Rev. Lett. 80, 3507 (1998).
38. Guy Dimonte and M. Schneider, Phys. Fluids 12, 304 (2000); M. Schneider, Guy Dimonte, and B. Remington, Phys. Rev. Lett. 80, 3507 (1998).