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Volumn 67, Issue 2 2, 2003, Pages 263191-263197

Explicit expressions for the evolution of single-mode Rayleigh-Taylor and Richtmyer-Meshkov instabilities at arbitrary Atwood numbers

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); LINEAR SYSTEMS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS;

EID: 0038057793     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (105)

References (33)
  • 1
    • 0004022482 scopus 로고
    • Dover, New York
    • Lord Rayleigh, Scientific Papers (Dover, New York, 1965), Vol. 2; G. I. Taylor, Proc. R. Soc. London, Ser. A 201, 192 (1950).
    • (1965) Scientific Papers , vol.2
    • Rayleigh, L.1
  • 2
  • 3
    • 84980087532 scopus 로고
    • R. D. Richtmyer, Commun. Pure Appl. Math. 13, 297 (1960); E. E. Meshkov, Izv. Akad. Nauk SSR, Mekh. Zhidk. Gaza 5, 151 (1969) [Fluid Dyn. 4, 101 (1969)].
    • (1960) Commun. Pure Appl. Math. , vol.13 , pp. 297
    • Richtmyer, R.D.1
  • 4
    • 0014571788 scopus 로고
    • [Fluid Dyn. 4, 101 (1969)]
    • R. D. Richtmyer, Commun. Pure Appl. Math. 13, 297 (1960); E. E. Meshkov, Izv. Akad. Nauk SSR, Mekh. Zhidk. Gaza 5, 151 (1969) [Fluid Dyn. 4, 101 (1969)].
    • (1969) Izv. Akad. Nauk SSR, Mekh. Zhidk. Gaza , vol.5 , pp. 151
    • Meshkov, E.E.1
  • 5
    • 0020778068 scopus 로고    scopus 로고
    • There is vast literature on RT and RM instabilities. We mention a few reviews: D. H. Sharp, Physica D 12, 3 (1984); H. J. Kull, Phys. Rep. 206, 197 (1991); M. Brouillette, Annu. Rev. Fluid Mech. 34, 445 (2002). Active research in these fields is reported in Proceedings of the Seventh International Workshop on The Physics of Compressible Turbulent Mixing, St. Petersburg, Russia, 1999, edited by E. Meshkov, Yu. Yanilkin, and V. Zhmailo (RFNC-VNIIEF, Sarov, Russia, 2001).
    • (1984) Physica D , vol.12 , pp. 3
    • Sharp, D.H.1
  • 6
    • 13844310168 scopus 로고
    • There is vast literature on RT and RM instabilities. We mention a few reviews: D. H. Sharp, Physica D 12, 3 (1984); H. J. Kull, Phys. Rep. 206, 197 (1991); M. Brouillette, Annu. Rev. Fluid Mech. 34, 445 (2002). Active research in these fields is reported in Proceedings of the Seventh International Workshop on The Physics of Compressible Turbulent Mixing, St. Petersburg, Russia, 1999, edited by E. Meshkov, Yu. Yanilkin, and V. Zhmailo (RFNC-VNIIEF, Sarov, Russia, 2001).
    • (1991) Phys. Rep. , vol.206 , pp. 197
    • Kull, H.J.1
  • 7
    • 0036435443 scopus 로고    scopus 로고
    • There is vast literature on RT and RM instabilities. We mention a few reviews: D. H. Sharp, Physica D 12, 3 (1984); H. J. Kull, Phys. Rep. 206, 197 (1991); M. Brouillette, Annu. Rev. Fluid Mech. 34, 445 (2002). Active research in these fields is reported in Proceedings of the Seventh International Workshop on The Physics of Compressible Turbulent Mixing, St. Petersburg, Russia, 1999, edited by E. Meshkov, Yu. Yanilkin, and V. Zhmailo (RFNC-VNIIEF, Sarov, Russia, 2001).
    • (2002) Annu. Rev. Fluid Mech. , vol.34 , pp. 445
    • Brouillette, M.1
  • 8
    • 0020778068 scopus 로고    scopus 로고
    • St. Petersburg, Russia, RFNC-VNIIEF, Sarov, Russia
    • There is vast literature on RT and RM instabilities. We mention a few reviews: D. H. Sharp, Physica D 12, 3 (1984); H. J. Kull, Phys. Rep. 206, 197 (1991); M. Brouillette, Annu. Rev. Fluid Mech. 34, 445 (2002). Active research in these fields is reported in Proceedings of the Seventh International Workshop on The Physics of Compressible Turbulent Mixing, St. Petersburg, Russia, 1999, edited by E. Meshkov, Yu. Yanilkin, and V. Zhmailo (RFNC-VNIIEF, Sarov, Russia, 2001).
    • (1999) Proceedings of the Seventh International Workshop on The Physics of Compressible Turbulent Mixing
    • Meshkov, E.1    Yanilkin, Yu.2    Zhmailo, V.3
  • 12
    • 0001868072 scopus 로고
    • Reference to Fermi's model is found here
    • D. Layzer, Astrophys. J. 122, 1 (1955). Reference to Fermi's model is found here.
    • (1955) Astrophys. J. , vol.122 , pp. 1
    • Layzer, D.1
  • 13
    • 36849113769 scopus 로고
    • B. J. Daly, Phys. Fluids 10, 297 (1967); G. R. Baker, D. I. Meiron, and S. A. Orszag, ibid. 23, 1485 (1980); J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989); G. Hazak, ibid. 76, 4167 (1996); M. Vandenboomgaerde, S. Gauthier, and C. Mügler, Phys. Fluids 14, 1111 (2002). See also Refs. [12,14,15,17-19].
    • (1967) Phys. Fluids , vol.10 , pp. 297
    • Daly, B.J.1
  • 14
    • 0018928761 scopus 로고
    • B. J. Daly, Phys. Fluids 10, 297 (1967); G. R. Baker, D. I. Meiron, and S. A. Orszag, ibid. 23, 1485 (1980); J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989); G. Hazak, ibid. 76, 4167 (1996); M. Vandenboomgaerde, S. Gauthier, and C. Mügler, Phys. Fluids 14, 1111 (2002). See also Refs. [12,14,15,17-19].
    • (1980) Phys. Fluids , vol.23 , pp. 1485
    • Baker, G.R.1    Meiron, D.I.2    Orszag, S.A.3
  • 15
    • 0023960581 scopus 로고
    • B. J. Daly, Phys. Fluids 10, 297 (1967); G. R. Baker, D. I. Meiron, and S. A. Orszag, ibid. 23, 1485 (1980); J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989); G. Hazak, ibid. 76, 4167 (1996); M. Vandenboomgaerde, S. Gauthier, and C. Mügler, Phys. Fluids 14, 1111 (2002). See also Refs. [12,14,15,17-19].
    • (1988) J. Fluid Mech. , vol.187 , pp. 329
    • Jacobs, J.W.1    Catton, I.2
  • 16
    • 0000078921 scopus 로고
    • B. J. Daly, Phys. Fluids 10, 297 (1967); G. R. Baker, D. I. Meiron, and S. A. Orszag, ibid. 23, 1485 (1980); J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989); G. Hazak, ibid. 76, 4167 (1996); M. Vandenboomgaerde, S. Gauthier, and C. Mügler, Phys. Fluids 14, 1111 (2002). See also Refs. [12,14,15,17-19].
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 749
    • Aref, H.1    Tryggvason, G.2
  • 17
    • 0001263147 scopus 로고    scopus 로고
    • B. J. Daly, Phys. Fluids 10, 297 (1967); G. R. Baker, D. I. Meiron, and S. A. Orszag, ibid. 23, 1485 (1980); J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989); G. Hazak, ibid. 76, 4167 (1996); M. Vandenboomgaerde, S. Gauthier, and C. Mügler, Phys. Fluids 14, 1111 (2002). See also Refs. [12,14,15,17-19].
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4167
    • Hazak, G.1
  • 18
    • 0036503733 scopus 로고    scopus 로고
    • See also Refs. [12,14,15,17-19]
    • B. J. Daly, Phys. Fluids 10, 297 (1967); G. R. Baker, D. I. Meiron, and S. A. Orszag, ibid. 23, 1485 (1980); J. W. Jacobs and I. Catton, J. Fluid Mech. 187, 329 (1988); H. Aref and G. Tryggvason, Phys. Rev. Lett. 62, 749 (1989); G. Hazak, ibid. 76, 4167 (1996); M. Vandenboomgaerde, S. Gauthier, and C. Mügler, Phys. Fluids 14, 1111 (2002). See also Refs. [12,14,15,17-19].
    • (2002) Phys. Fluids , vol.14 , pp. 1111
    • Vandenboomgaerde, M.1    Gauthier, S.2    Mügler, C.3
  • 24
    • 0001496330 scopus 로고
    • K. O. Mikaelian, Phys. Rev. Lett. 71, 2903 (1993); Phys. Fluids 6, 536 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 536
  • 32
    • 0034079449 scopus 로고    scopus 로고
    • G. Dimonte and M. Schneider, Phys. Rev. E 54, 3740 (1996); Phys. Fluids 12, 304 (2000).
    • (2000) Phys. Fluids , vol.12 , pp. 304


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