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| Numerical simulations of the single-mode Richtmyer-Meshkov instability |
| Received:August 20, 2010 Revised:February 28, 2011 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20121021 |
| KeyWord:VOF PPM MVPPM Richtmyer-Meshkov instability |
| Author | Institution |
| 王涛 |
中国工程物理研究院 流体物理研究所, 绵阳 |
| 柏劲松 |
中国工程物理研究院 流体物理研究所, 绵阳 |
| 李平 |
中国工程物理研究院 流体物理研究所, 绵阳 |
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| Abstract: |
| Adopting the VOF (volume of fluid) methodology and PPM (piecewise parabolic method),a high precision numerical algorithm MVPPM (multi-viscous-fluid piecewise parabolic method) is proposed and applied to the compressible multi-viscous-fluid dynamics problems.Several two and three dimensional single-mode Richtmyer-Meshkov instability models with different amplitude are numerically simulated by MVPPM.Comparisons between numerical and theoretical results show that both two dimensional and three dimensional calculated amplitudes and growth rates of perturbed interface are consistent with the predictions of theory models,when the initial amplitude is relatively small to the initial wavelength.When the wavelength of initial perturbation preserves constant and the initial amplitude increases gradually,the calculated amplitude and growth rate of perturbed interface also increase.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,so the effects of nonlinearity and three dimensions play important role in the developing of RM instability. |
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