Effect of incident shock wave strength on the decay of Richtmyer–Meshkov instability-introduced perturbations in the refracted shock wave
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The effect of incident shock wave strength on the decay of interface introduced perturbations in the refracted shock wave was studied by performing 20 different simulations with varying incident shock wave Mach numbers (M ~ 1.1− 3.5). The analysis showed that the amplitude decay can be represented as a power law model shown in Eq.7, where A is the average amplitude of perturbations (cm), B is the base constant (cm−(E−1), S is the distance travelled by the refracted shockwave (cm), and E is the power constant. The proposed model fits the data well for low incident Mach numbers, while at higher mach numbers the presence of large and irregular late time oscillations of the perturbation amplitude makes it hard for the power law to fit as effectively. When the coefficients from the power law decay model are plotted versus Mach number, a distinct transition region can be seen. This region is likely to result from the transition of the post-shock heavy gas velocity from subsonic to supersonic range in the lab frame. This region separates the data into a high and low Mach number region. Correlations for the power law coefficients to the incident shock Mach number are reported for the high and low Mach number regions. It is shown that perturbations in the refracted shock wave persist even at late times for high incident Mach numbers.
KeywordsRichtmyer–Meshkov instability Shock wave refraction Shock wave perturbation Shock tube
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- 7.Krivets, V.V., Long, C.C., Jacobs, J.W., Greenough, J.A.: Shock tube experiments and numerical simulation of the single mode three-dimensional Richtmyer-Meshkov instability. In: 26th International Symposium on Shock Waves. pp. 1205–1210. Springer, Gottingen (2009)Google Scholar
- 22.Schilling, O., Latini, M., Don, W.: Physics of reshock and mixing in single-mode Richtmyer-Meshkov instability. Phys. Rev. E 76(2007)Google Scholar
- 23.Niederhaus, J.H.J., Ranjan, D., Oakley, J.G., Anderson, M.H., Greenough, J.A., Bonazza, R.: Computations in 3D for shock-induced distortion of a light spherical gas inhomogeneity. In: Shock waves, Part XVIII. Springer, Berlin, pp 1169–1174. doi: 10.1007/978-3-540-85181-3_60
- 26.Aleshin A.N., Zaitsev S.G., Lazareva E.V.: Damping of perturbations at a shock front in the presence of a Richtmyer–Meshkov instability. Sov. Tech. Phys. Lett. 17, 493–496 (1991)Google Scholar
- 27.Aleshin, A.N., Chebotareve, E.I., Krivets, V.V., Lazareva, E.V., Sergeev, S.V., Titov, S.N., Zaytsev, S.: Investigation of Evolution of Interface After Its Interaction with Shock Waves. International Institute for Applied Physics and High Technology, Moscow (1996)Google Scholar
- 29.Sharp R.W., Barton R.T.: HEMP Advection Model. Lawrence Livermore Laboratory, Livermore (1981)Google Scholar