Dependence of turbulent Rayleigh-Taylor instability on initial perturbations

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

Volumn 69, Issue 5 1, 2004, Pages

  Dimonte, Guy ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; FLUORESCENCE; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; TURBULENT FLOW; VELOCITY MEASUREMENT;

BUBBLE ACCELERATION CONSTANTS; INTERFACE RECONSTRUCTION (IR); NONLINEAR COUPLING; RAYLEIGH-TAYLOR INSTABILITY;

BUBBLES (IN FLUIDS);

EID: 42749098638     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (68)

1. Lord Rayleigh, Scientific Papers II (Cambridge University Press, Cambridge, England, 1900), p. 200.
2. G. I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
3. G. Birkhoff, University of California, Report No. LA-1862, 1955.
4. Catherine Cherfils and Karnig O. Mikaelian, Phys. Fluids 8, 522 (1996).
5. N. A. Inogamov, Sov. Tech. Phys. Lett. 4, 299 (1978).
6. N. A. Inogamov et al. in Proceedings of the Third International Workshop Phys Comp. Turbulent Mixing, edited by R. Dautray (Commissariat Energie Atomique, Cesta, France, 1991), p. 409.
7. K. I. Read, Physica D 12, 45 (1984).
8. D. L. Youngs, Physica D 37, 270 (1989).
9. M. J. Andrews and D. B. Spalding, Phys. Fluids A 2, 922 (1990).
10. Yu. A. Kucherenko, L. I. Shibarshov, V. I. Chitaikin, S. I. Balabin, and A. P. Pylaev, in Proceedings of the Third International Workshop Phys. Comp. Turbulent Mixing (Ref. [6]), p. 427.
11. P. F. Linden, J. M. Redondo, and D. L. Youngs, J. Fluid Mech. 265, 97 (1994).
12. Guy Dimonte and M. Schneider, Phys. Rev. E 54, 3740 (1996).
13. M. Schneider, Guy Dimonte, and B. Remington, Phys. Rev. Lett. 80, 3507 (1998).
14. Guy Dimonte and M. Schneider, Phys. Fluids 12, 304 (2000).
15. D. L. Youngs, Phys. Fluids A 3, 1312 (1991).
16. D. L. Youngs, Laser Part. Beams 12, 725 (1994).
17. J. Glimm, J. W. Grove, X. L. Li, W. Oh, and D. H. Sharp, J. Comput. Phys. 169, 652 (2001).
18. D. Oron, L. Arazi, D. Kartoon, A. Rikanati, U. Alon, and D. Shvarts, Phys. Plasmas 8, 2883 (2001).
19. A. W. Cook and P. E. Dimotakis, J. Fluid Mech. 443, 69 (2001).
20. Yuan-nan Young, H. Tufo, A. Dubey, and R. Rosner, J. Fluid Mech. 447, 377 (2001).
21. J. Glimm and X. L. Li, Phys. Fluids 31, 2077 (1988).
22. J. Glimm, X. L. Li, R. Menikoff, D. H. Sharp, and Q. Zhang, Phys. Fluids A 2, 2046 (1990).
23. J. Glimm and D. Sharp, Phys. Rev. Lett. 64, 2137 (1990).
24. B. Cheng, J. Glimm, and D. Sharp, Chaos 12, 267 (2002).
25. D. Shvarts, U. Alon, D. Ofer, R. L. McCrory, and C. P. Verdon, Phys. Plasmas 2, 2465 (1995).
26. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Phys. Rev. Lett. 74, 534 (1995).
27. D. L. Youngs, AIAA Pap. 2003, 4102 (2003).
28. E. George, J. Glimm, X. L. Li, A. Marchese, and Z. L. Xu, Proc. Natl. Acad. Sci. U.S.A. 99, 2587 (2002).
29. Guy Dimonte et al. (unpublished).
30. D. T. Dumitrescu, Z. Angew. Math. Mech. 23, 139 (1943).
31. R. M. Davies and G. I. Taylor, Proc. R. Soc. London, Ser. A 200, 375 (1950).
32. D. Layzer, Astrophys. J. 122, 1 (1955).
33. H. J. Kull, Phys. Rep. 206, 197 (1991).
34. J. Hecht, U. Alon, and D. Shvarts, Phys. Fluids 6, 4019 (1994).
35. R. S. Scorer, J. Fluid Mech. 2, 583 (1957).
36. R. Collins, J. Fluid Mech. 28, 97 (1967).
37. N. A. Inogamov and S. I. Abarzhi, Physica D 87, 339 (1995).
38. Karnig O. Mikaelian, Phys. Rev. Lett. 80, 508 (1998).
39. S. I. Abarzhi, Phys. Rev. E 59, 1729 (1999).
40. V. N. Goncharov, Phys. Rev. Lett. 88, 134502 (2002).
41. Sung-lk Sohn, Phys. Rev. E 67, 026301 (2003).
42. Karnig O. Mikaelian, Phys. Rev. E 67, 026319 (2003).
43. D. J. Lewis, Proc. R. Soc. London, Ser. A 202, 81 (1950).
44. X. L. Li, Phys. Fluids 8, 336 (1996).
45. G. Tryggvason and S. O. Unverdi, Phys. Fluids A 2, 656 (1990).
46. X. L. Li, Phys. Fluids A 5, 1904 (1993).
47. X. L. Li, B. X. Jin, and J. Glimm, J. Comput. Phys. 126, 343 (1996).
48. J. Hecht, D. Offer, U. Alon, D. Shvarts, S. A. Orszag, and R. L. McCrory, Laser Part. Beams 13, 423 (1995).
49. X. He, R. Zhang, S. Chen, and G. Doolen, Phys. Fluids 11, 1143 (1999).
50. Alan Calder et al., Astrophys. J., Suppl. Ser. 143, 201 (2002).
51. S. W. Haan, Phys. Rev. A 39, 5812 (1989).
52. S. W. Haan, Phys. Fluids B 3, 2349 (1991).
53. V. A. Andronov, S. M. Bakhrakh, V. N. Mokhov, V. V. Nikiforov, and A. V. Pevnitskii, JETP Lett. 29, 56 (1979).
54. S. Gauthier and M. Bonnet, Phys. Fluids A 2, 592 (1990).
55. J. C. Hanson, P. A. Rosen, T. J. Goldsack, K Oades, P. Fieldhouse, N. Cowperthwaite, D. L. Youngs, N. Mawhinney, and A. J. Baxter, Laser Part. Beams 8, 51 (1990).
56. J. Glimm, D. Saltz, and D. H. Sharp, Phys. Rev. Lett. 80, 712 (1998).
57. J. D. Ramshaw, Phys. Rev. E 58, 5834 (1998).
58. Guy Dimonte, Phys. Plasmas 7, 2255 (2000).
59. V. E. Neuvazhaev and V. G. Yakovlev, J. Appl. Mech. Tech. Phys. 42, 572 (2001).
60. C. P. DeNeef, J. H. Malmberg, and T. M. O'Neil, Phys. Rev. Lett. 30, 1032 (1973); Peter DeNeef, Phys. Fluids 18, 1209 (1975).
61. C. P. DeNeef, J. H. Malmberg, and T. M. O'Neil, Phys. Rev. Lett. 30, 1032 (1973); Peter DeNeef, Phys. Fluids 18, 1209 (1975).
62. Guy Dimonte, Phys. Fluids 25, 604 (1982).
63. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford University Press, Oxford, 1961).
64. S. Bodner, Phys. Rev. Lett. 33, 761 (1974).
65. H. Takabe et al., Phys. Fluids 28, 3676 (1985).
66. B. J. Daly, Phys. Fluids 10, 297 (1967).
67. R. D. Blevins, Applied Fluid Dynamics Handbook (Van Nostrand Reinhold, New York, 1984), p. 332.
68. Guy Dimonte, R. Turner, O. Landen, R. Tipton, P. Amendt, J. Colvin, K. Mikaelian, O. Jones, and R. Wallace, Bull. Am. Phys. Soc. 46, 141 (2001).