Non-Linear Development of Interface Perturbations Under Joint Impulsive and Constant Accelerations

  • V. E. Neuvazhayev
  • I. E. Parshukov
Conference paper

Abstract

The two-dimensional problem of the behavior of the interface between two ideal incompressible liquids in a gravitational field is studied on the basis of a vortex method. For the case of stationary (Rayleigh- Taylor instability) and impulsive (Richtmyer-Meshkov instability) accelerations and their joint action the method allows to determine some asymptotic laws of bubble and spike evolution in the non-linear stage for different values of the Atwood number. The applicability of the technique to the description of real gas-dynamic flows is shown and comparisons of calculated and experimental results (obtained in shock tubes) are given.

Key words

Interface insability Nonlinear effects Acceleration Vortex method 

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References

  1. Alyoshin AN, Lazareva EV, Zaitzev SG et al. (1990) Study of linear, non-linear and transition stages of Richtmyer-Meshkov instability. Doklady Akademii Nauk SSSR 310, 5: pp. 1105–1108Google Scholar
  2. Baker GR, Meiron DI, Orszag SA (1980) Vortex simulation of the Rayleigh-Taylor instability. Phys.Fluids 23: 1485–1490CrossRefMATHADSGoogle Scholar
  3. Kerr RM (1988) Simulation of Rayleigh-Taylor flows using vortex blobs. J.Comp.Phys., 1: 48–84CrossRefADSGoogle Scholar
  4. Meshkov E E (1981) Some results of experimental investigations on gravitational instability of interfaces for media with different density. In Babenko KI (ed.) Study of hydrodynamic stability by means of computer. Moskow, pp 163–190Google Scholar
  5. Meyer KA, Blewett PJ (1972) Numerical investigation of the stability of a shock-accelerated interface between two fluids. Phys.Fluids 15, 5: 753–759CrossRefADSGoogle Scholar
  6. Neuvazhaev VE, Parshukov IE (1992) Study of Richtmyer-Meshkov instability by vortex method. In Samarski AA, Sapagovas MP (eds) Mathematical Modelling and Applied Mathematics. Elsevier Science Publishers B.V.(North-Holland), IMAGS, pp 323–335Google Scholar
  7. Rozanov VB Vasilenko AM et al. (1990) Experimental investigation of gravitational instability and turbulent mixing of stratified flows in acceleration field in the context of inertial thermonuclear fusion. Preprint N 56, Moscow, FIAN, pp 32–51Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • V. E. Neuvazhayev
    • 1
  • I. E. Parshukov
    • 1
  1. 1.Institute of Technical PhysicsChelyabinsk-70Russia

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