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Simulation of the instability of an accelerating gaseous envelope

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Abstract

The development of perturbations of the parameters of a dense gaseous envelope traveling with an acceleration driven by a difference in the pressures on either side is investigated numerically. Plane and axisymmetric time-dependent flows of a compressible medium are considered. The effect of both the density of the envelope and the form of the initial perturbations of its shape and motion on the mass cumulation in the compactions formed is studied. The evolutions of the perturbations of a layer and the surface of a contact discontinuity accelerated by an impinging plane shock wave are compared.

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References

  1. M.A. Lavrent’ev, “Cumulative Charge and Its Principles of Operation,” Usp. Mat. Nauk 12, No. 4, 41–56 (1957).

    MathSciNet  Google Scholar 

  2. M.A. Lavrent’ev and B.V. Shabat, Hydrodynamic Problems and their Mathematical Models (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  3. E. Ott, “Nonlinear Evolution of the Rayleigh-Taylor Instability of a Thin Layer,” Phys. Rev. Lett. 29, No. 21, 1429–1432 (1972).

    Article  ADS  Google Scholar 

  4. S.I. Anisimov, A.M. Prokhorov, and V.E. Fortov, “Use of Powerful Lasers for Investigating Matter at Superhigh Pressures,” Usp. Fiz. Nauk 142, No. 3, 395–434 (1984).

    Google Scholar 

  5. L.P. Orlenko (Ed.), Physics of Explosion Vol. 2 (Fizmatlit, Moscow, 2002) [in Russian].

    Google Scholar 

  6. S.I. Zonenko and G.G. Chernyi, “New Form of Cumulation of the Energy and Momentum of Plates and Shells Propelled by an Explosion,” Dokl. Ros. Akad. Nauk 390, No. 1, 46–50 (2003).

    MathSciNet  Google Scholar 

  7. A.N. Golubyatnikov, S.I. Zonenko, and G.G. Chernyi, “New Models and Problems of the Theory of Cumulation,” Uspekhi Mekhaniki 3, No. 1, 31–93 (2005).

    Google Scholar 

  8. V.B. Baranov and K.V. Krasnobaev, Hydrodynamic Theory of Cosmic Plasma (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  9. S.A. Kaplan and S.B. Pikel’ner, Physics of the Interstellar Medium (Nauka, Moscow, 1979) [in Russian].

    Google Scholar 

  10. S.R. Pottasch, Planetary Nebulae (Cluwer, Dordrecht etc., 1984; Mir, Moscow, 1987).

    Google Scholar 

  11. D.E. Osterbrock and G.J. Ferland Astrophysics of Gaseous Nebulae and Active Galactic Nuclei, 2 (University Science Books, Sausakiti, C.A., 2006).

    Google Scholar 

  12. B.G. Elmegreen and C.J. Lada, “Sequential Formation of Subgroups in OB Associations,” Astrophys. J. 214, 725–741 (1977).

    Article  ADS  Google Scholar 

  13. G. Garcia-Segura and J. Franco, “From Ultracompact to Extended HII Regions,” Astrophys. J. 469, No. 1, Pt. 1, 171–188 (1996).

    Article  ADS  Google Scholar 

  14. B. Lefloch, B. Lazareff, and A. Castets, “Cometary Globules. III. Triggered Star Formation in IC 1848,” Astron. Astrophys. 324, 249–262 (1997).

    ADS  Google Scholar 

  15. K.V. Krasnobaev, “Instability of a Thin Photoevaporable Circumstellar Envelope,” Pis’ma v Astron. Zhurn. 30, No. 7, 500–505 (2004).

    Google Scholar 

  16. E.R. Capriotti and A.D. Kendall, “The Origin and Physical Properties of the Cometary Knots in NGC 7293,” Astrophys. J. 642, 923–932 (2006).

    Article  ADS  Google Scholar 

  17. E.E. Meshkov, “Instability of the Interface between Two Gases Accelerated by a ShockWave,” Fluid Dynamics 4(5), 101–104 (1969).

    Article  MathSciNet  Google Scholar 

  18. A. Mizuta, J.O. Kane, M.W. Pound, B.A. Remington, D.D. Ryutov, and H. Takabe, “Hydrodynamic Instability of Ionization Fronts in HII Regions,” Astrophys. J. 621, 803–815 (2005).

    Article  ADS  Google Scholar 

  19. G.G. Chernyi, Gas Dynamics (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  20. G.Yu. Kotova and K.V. Krasnobaev, “Nonlinear Deformations of an Accelerated Moving Radiating Envelope,” Zhurn. Khim. Fiziki (2008) (in press).

  21. J. Taylor, “The Instability of Liquid Surfaces when Accelerated in a Direction Perpendicular to their Planes I,” Proc. Roy. Soc. London. Ser. A. 201, No. 1065, 192–196 (1950).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  22. R.D. Richtmyer, “Taylor Instability in Shock Acceleration of Compressible Fluids,” Communs. Pure and Appl. Math. 13, No. 2, 297–319 (1960).

    Article  MathSciNet  Google Scholar 

  23. E.E. Meshkov, “Some Results of Experimental Investigations of the Gravitational Instability of Interfaces between Media of Different Densities,” in: K.I. Babenko (Ed.) Investigation of Hydrodynamic Stability by Means of Computers (Inst. of Applied Mathematics of the Academy of Sciences of the USSR, Moscow, 1981) [in Russian], 63–190.

    Google Scholar 

  24. S.Ya. Gertsenshtein and V.M. Chernyavskii, “On the Nonlinear Development of Two-and Three-Dimensional Perturbations in the Presence of Rayleigh-Taylor Instability,” Fluid Dynamics 20(2), 199–206 (1985).

    Article  Google Scholar 

  25. V. E. Neuvazhaev and I. E. Parshukov, “Study of the Stability of Interfaces between Fluids Subjected to the Joint Action of Pulsed and Constant Accelerations,” Mat. Modelirovanie, 5, No. 2, 16–24 (1993).

    MATH  MathSciNet  Google Scholar 

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Original Russian Text © K.V. Krasnobaev, R.R. Tagirova, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 5, pp. 161–170.

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Krasnobaev, K.V., Tagirova, R.R. Simulation of the instability of an accelerating gaseous envelope. Fluid Dyn 43, 814–822 (2008). https://doi.org/10.1134/S0015462808050165

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