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JETP Letters

, Volume 90, Issue 1, pp 18–24 | Cite as

On the neutral stability of a shock wave in real media

  • A. V. Konyukhov
  • A. P. Likhachev
  • V. E. Fortov
  • K. V. Khishchenko
  • S. I. Anisimov
  • A. M. Oparin
  • I. V. Lomonosov
Plasma, Gases

Abstract

The results of the theoretical analysis and computer simulation of the behavior of neutrally stable shock waves with real (van der Waals gas, magnesium) equations of state are presented. An approach is developed in which the region of the neutral stability of a shock wave for each pressure value in front of the wave is determined from the analysis of the equation of state. A simple algorithm is developed to determine the cause of acoustic perturbations (a shock front or an external source) immediately from the flow pattern. In contrast to the predictions of the linear theory, the amplitude of the perturbations of the neutrally stable shock wave decreases with time, although this process is noticeably slower than in the case of an absolutely stable shock wave.

PACS numbers

47.40.-x 64.10.+h 

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • A. V. Konyukhov
    • 1
  • A. P. Likhachev
    • 1
  • V. E. Fortov
    • 1
  • K. V. Khishchenko
    • 1
  • S. I. Anisimov
    • 2
  • A. M. Oparin
    • 3
  • I. V. Lomonosov
    • 4
  1. 1.Joint Institute for High TemperaturesRussian Academy of SciencesMoscowRussia
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia
  3. 3.Institute for Computer Aided DesignRussian Academy of SciencesMoscowRussia
  4. 4.Institute of Problems of Chemical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia

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