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Chinese Journal of High Pressure Physics  > 2013  >  27(2): 277-286.
WANG Tao, BAI Jin-Song, LI Ping, TAO Gang, JIANG Yang, ZHONG Min. Two and Three Dimensional Numerical Investigations of the Single-Mode Richtmyer-Meshkov Instability[J]. Chinese Journal of High Pressure Physics, 2013, 27(2): 277-286. doi: 10.11858/gywlxb.2013.02.016
Citation: WANG Tao, BAI Jin-Song, LI Ping, TAO Gang, JIANG Yang, ZHONG Min. Two and Three Dimensional Numerical Investigations of the Single-Mode Richtmyer-Meshkov Instability[J]. Chinese Journal of High Pressure Physics, 2013, 27(2): 277-286. doi: 10.11858/gywlxb.2013.02.016
shu

Two and Three Dimensional Numerical Investigations of the Single-Mode Richtmyer-Meshkov Instability

doi: 10.11858/gywlxb.2013.02.016
  • 1.

    Institute of Fluid Physics, CAEP, Mianyang 621900, China;

  • 2.

    School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

  • Received Date: 02 Dec 2010
  • Rev Recd Date: 25 May 2011
  • Publish Date: 15 Apr 2013
    Abstract
  • A high precision numerical algorithm MVPPM (multi-viscous-fluid piecewise parabolic method) is proposed and applied to the multi-viscous-fluid dynamics problems. Several two and three dimensional single-mode Richtmyer-Meshkov instability models with different amplitude and wavelength are numerically simulated by this method. Comparisons show that the evolving of interface is highly sensitive to the initial conditions of perturbation. Both two and three dimensional calculated amplitudes and growth rates of perturbed interface are consistent with the predictions of theoretical models, while the strength of initial perturbation is small. The three dimensional numerical results are identical with the two dimensional ones at the linear stage and larger than the two dimensional ones at the nonlinear stage for the perturbation with the same wavelength and amplitude. Therefore the effects of nonlinearity and three dimensions play a dominant role in the development of Richtmyer-Meshkov instability.

     

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