Nonlinear evolution of the Rayleigh–Taylor and Richtmyer–Meshkov instabilities

Physics of Plasmas

Volumn 6, Issue 5, 1999, Pages 2009-2015

  Dimonte, Guy ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

ACCELERATION; MIXING; NONLINEAR PROBLEMS; PLASMA DENSITY; PLASMA INSTABILITY; RAYLEIGH TAYLOR INSTABILITY; TURBULENCE

Indexed keywords

EID: 0000099545     PISSN: 1070664X     EISSN: 10897674     Source Type: Journal    
DOI: 10.1063/1.873491     Document Type: Conference Paper

References (89)

1. Lord Rayleigh, Scientific Papers II, 200, Cambridge, England, 1900; G. I. Taylor, Proc. R. Soc. London, Ser. A PRLAAZ 201, 192 (1950).
2. R. D. Richtmyer, Commun. Pure Appl. Math. CPAMAT 13, 297 (1960)
3. E. E. Meshkov, Izv. Acad. Sci. USSR Fluid Dynamics 4, 101 (1969).
4. D. H. Sharp, Physica (Amsterdam) PDNPDT 12D, 3 (1984).
5. S. W. Haan, Phys. Fluids B PFBPEI 3, 2349 (1991).
6. D. Shvarts, U. Alon, D. Ofer, R. L. McCrory, and C. P. Verdon, Phys. Plasmas PHPAEN 2, 2465 (1995).
7. M. M. Marinak, S. G. Glendinning, R. J. Wallace, et al., Phys. Rev. Lett. PRLTAO 80, 4426 (1998).
8. W. D. Arnett, J. N. Bahcall, R. P. Kirshner, and S. E. Woosley, Annu. Rev. Astron. Astrophys. ARAAAJ 27, 629 (1989).
9. E. Muller, B. Fryxell, and D. Arnett, Astron. Astrophys. AAEJAF 251, 505 (1991).
10. S. Okada, K. Sato, and T. Sekiguchi, J. Appl. Phys. JAPIAU 20, 157 (1981).
11. B. H. Ripin, E. A. McLean, C. K. Manka, et al., Phys. Rev. Lett. PRLTAO 59, 2299 (1987).
12. G. Dimonte and L. G. Wiley, Phys. Rev. Lett. PRLTAO 67, 1755 (1991).
13. P. A. Bernhardt, R. A. Roussel-Dupre, M. B. Pongratz, et al., J. Geophys. Res. JGREA2 92, 5777 (1987).
14. M. F. Thomsen, J. T. Gosling, S. A. Fuselier, S. J. Bame, and C. T. Russell, J. Geophys. Res. JGREA2 91, 2961 (1986).
15. J. D. Huba, A. B. Hassam, and D. Winske, Phys. Fluids B PFBPEI 2, 1676 (1990).
16. M. N. Rosenbluth and C. L. Longmire, Ann. Phys. APNYA6 1, 120 (1957).
17. J. R. Ferron, A. Y. Wong, G. Dimonte, and B. J. Leikind, Phys. Fluids PFLDAS 26, 2227 (1983).
18. F. Cattaneo and D. W. Hughes, J. Fluid Mech. JFLSA7 196, 323 (1988).
19. J. D. Lindl, Inertial Confinement Fusion (Springer-Verlag, New York, 1998).
20. V. A. Andronov, S. M. Bakhrakh, V. N. Mokohov, V. V. Nikiforov, and A. V. Pevnitskii, JETP Lett. JTPLA2 29, 56 (1979).
21. J. F. Barnes, P. J. Blewett, R. G. McQueen, K. A. Meyer, and D. Venable, J. Appl. Phys. JAPIAU 45, 727 (1974)
22. J. F. Barnes, P. J. Blewett, R. G. McQueen, K. A. Meyer, and D. Venable, J. Appl. Phys., 51, 4678 (1980).
23. A. I. Lebedev, P. N. Nizovtsev, V. A. Raevskii, and V. P. Solov’ev, Phys. Dokl. PHDOE5 41, 328 (1996).
24. J. H. Degnan, F. M. Lehr, J. D. Beason, et al., Phys. Rev. Lett. PRLTAO 74, 98 (1995).
25. F. Selig and E. G. Wermund, Geophysics GPYSA7 32, 726 (1966).
26. B. D. Marsh, J. Geol. JGEOAZ 87, 687 (1979).
27. D. L. Youngs, Laser Part. Beams LPBEDA 12, 725 (1994)
28. D. L. Youngs, Phys. Fluids A PFADEB 3, 1312 (1991)
29. D. L. Youngs, Physica D PDNPDT 37, 270 (1989)
30. D. L. Youngs, Physica (Utrecht) PDNPDT 12D, 32 (1984).
31. J. Glimm, X. L. Li, R. Menikoff, D. H. Sharp, and Q. Zhang, Phys. Fluids A PFADEB 2, 2046 (1990).
32. N. Freed, D. Ofer, D. Shvarts, and S. O. Orszag, Phys. Fluids A PFADEB 3, 912 (1991).
33. X. L. Li, Phys. Fluids A PFADEB 5, 1904 (1993).
34. P. F. Linden, J. M. Redondo, and D. L. Youngs, J. Fluid Mech. JFLSA7 265, 97 (1994).
35. U. Alon, J. Hecht, D. Ofer, and D. Shvarts, Phys. Rev. Lett. PRLTAO 74, 534 (1995).
36. J. Hecht, D. Ofer, U. Alon, D. Shvarts, S. A. Orszag, and R. L. McCrory, Laser Part. Beams LPBEDA 13, 423 (1995).
37. C. Cherfills and K. O. Mikaelian, Phys. Fluids PHFLE6 8, 522 (1996).
38. T. Pham and D. I. Meiron, Phys. Fluids A PFADEB 5, 344 (1993).
39. S. Gauthier and M. Bonnet, Phys. Fluids A PFADEB 2, 1685 (1990).
40. J. C. V. Hanson, P. A. Rosen, T. J. Goldsack, et al., Laser Part. Beams LPBEDA 8, 51 (1990).
41. J. Hecht, U. Alon, and D. Shvarts, Phys. Fluids PHFLE6 6, 4019 (1994).
42. Y. Chen, J. Glimm, and D. H. Sharp, Phys. Fluids PHFLE6 8, 816 (1996).
43. J. Glimm, D. Saltz, and D. H. Sharp, Phys. Rev. Lett. PRLTAO 80, 712 (1998).
44. K. I. Read, Physica (Utrecht) PDNPDT 12D, 45 (1984).
45. M. J. Andrews and D. B. Spalding, Phys. Fluids A PFADEB 2, 922 (1990).
46. P. F. Linden and J. M. Redondo, Phys. Fluids A PFADEB 3, 1269 (1991).
47. Yu. A Kucherenko, L. I. Shibarshov, V. I. Chitaikin, S. I. Balabin, and A. P. Pylaev, Proceedings of the 3rd International Workshop Physics Compressible Turbulent Mixing, edited by R. Dautray (Commissariat Energie Atomique, Cesta, France, 1991), 427.
48. G. Dimonte and M. Schneider, Phys. Rev. E PLEEE8 54, 3740 (1996).
49. M. Schneider, G. Dimonte, and B. Remington, Phys. Rev. Lett. PRLTAO 80, 3507 (1998).
50. G. Dimonte and M. Schneider, “Density ratio dependence of Rayleigh–Taylor mixing for sustained and impulsive acceleration,” Phys. Fluids (submitted).
51. L. L. Nettleton, Bull. Am. Assoc. Petroleum Geol. AAPGBS 27, 51 (1943).
52. D. Layzer, Astrophys. J. ASJOAB 122, 1 (1955).
53. J. A. Zufiria, Phys. Fluids PFLDAS 31, 440 (1988).
54. J. Glimm and X. L. Li, Phys. Fluids PFLDAS 31, 2077 (1988).
55. X. L. Li, Phys. Fluids PHFLE6 8, 336 (1996).
56. Q. Zhang, Phys. Rev. Lett. PRLTAO 81, 3391 (1998).
57. Yu. A. Kucherenko, S. I. Balabin, R. Cherret, and J. F. Haas, Laser Part. Beams LPBEDA 15, 25 (1997).
58. G. I. Barenblatt, in Nonlinear Dynamics and Turbulence, edited by G. I. Barenblatt, G. Ioos, and D. D. Joseph (Pitman, Boston, 1983), 48.
59. A. L. Velikovich, Phys. Fluids PHFLE6 8, 1666 (1996).
60. Y. Yang, Q. Zhang, and D. H. Sharp, Phys. Fluids PHFLE6 6, 1856 (1994).
61. K. A. Meyer and P. J. Blewett, Phys. Fluids PFLDAS 15, 753 (1972).
62. G. Fraley, Phys. Fluids PFLDAS 29, 376 (1986).
63. G. Dimonte, C. E. Frerking, M. Schneider, and B. Remington, Phys. Plasmas PHPAEN 3, 614 (1996)
64. G. Dimonte and B. Remington, Phys. Rev. Lett. PRLTAO 70, 1806 (1993).
65. A. L. Velikovich and G. Dimonte, Phys. Rev. Lett. PRLTAO 76, 3112 (1996).
66. R. Holmes, G. Dimonte, B. Fryxell, et al., “Richtmyer-Meshkov instability growth: Experiment, simulation and theory,” J. Fluid Mech. (in press).
67. G. Dimonte, C. E. Frerking, and M. Schneider, Phys. Rev. Lett. PRLTAO 74, 4855 (1995)
68. G. Dimonte and M. Schneider, Phys. Plasmas PHPAEN 4, 4347 (1997).
69. J. Colvin (private communication, 1998).
70. D. R. Farley, T. A. Peyser, P. L. Miller, et al., Proceedings 6th Int. Workshop on Physics Compressible Turbulent Mixing, edited by G. Jourdan and L. Houas (Imprimerie Caractare, Marseille, France, 1997), 161.
71. V. A. Andronov, S. M. Bakhrakh, E. E. Meshkov, et al., Sov. Phys. JETP SPHJAR 44, 424 (1976).
72. S. G. Zaitsev, E. V. Lazareva, V. V. Chernukha, and V. M. Belyaev, Sov. Phys. Dokl. SPHDA9 30, 579 (1985).
73. M. Brouillette and B. Sturtevant, Phys. Fluids A PFADEB 5, 916 (1993).
74. M. Vetter and B. Sturtevant, Shock Waves SHWAEN 4, 247 (1995).
75. L. Houas and I. Chemouni, Phys. Fluids PHFLE6 8, 614 (1996).
76. J. W. Miles, General Dynamics Report GAMD-7335, 1966 (NTIS No. AD643161). Copies may be obtained from the National Technical Information Service, Springfield, VA, 22101.
77. A. C. Robinson and J. W. Swegle, J. Appl. Phys. JAPIAU 66, 2859 (1989).
78. J. W. Swegle and A. C. Robinson, J. Appl. Phys. JAPIAU 66, 2838 (1989).
79. D. C. Drucker, Mechanics Today, edited by S. Nemat-Nasser (Permagon, Oxford, 1980), Vol. 5, p. 37.
80. E. L. Ruden and D. E. Bell, J. Appl. Phys. JAPIAU 82, 163 (1997).
81. P. N. Nizovtsev and V. A. Raevskii, VANT Ser. Teor. Prikl. Fizika No. 3, 11 (1991).
82. B. Plohr and D. H. Sharp, Z. Angew. Math. Phys. ZAMPA8 49, 786 (1998).
83. G. Dimonte, R. Gore, and M. Schneider, Phys. Rev. Lett. PRLTAO 80, 1212 (1998).
84. G. Dimonte, D. Nelson, S. Weaver, et al., J. Rheol. JORHD2 42, 727 (1998).
85. W. Spence, J. Geophys. Res. JGREA2 82, 213 (1977).
86. H. E. Huppert, J. Fluid Mech. JFLSA7 173, 557 (1986).
87. D. L. Kohlstedt and P. N. Chopra, in Magmatic Systems, edited by M. P. Ryan (Academic, San Diego, 1994), pp. 37–53.
88. G. Dimonte, J. Morrison, S. Hulsey, et al., Rev. Sci. Instrum. RSINAK 67, 302 (1996).
89. D. L. Youngs, in Advances Compressible Turbulent Mixing, edited by W. P. Dannevik, A. C. Buckingham, and C. E. Leith (Princeton University Press, Princeton, NJ, 1992), 607, Conf-8810234.