Suppression of the Richtmyer-Meshkov Instability due to a Density Transition Layer at the Interface

Abstract

We have investigated the effects of a smooth transition layer at the contact discontinuity on the growth of the Richtmyer-Meshkov instability (RMI) by hydrodynamic numerical simulations and derived an empirical condition for the suppression of the instability. The transition layer has little influence on the RMI when the thickness $L$ is narrower than the wavelength of an interface modulation $\lambda$. However, if the transition layer becomes broader than $\lambda$, the perturbed velocity associated with the RMI is reduced considerably. The suppression condition is interpreted as the cases that the shock transit time through the transition layer is longer than the sound crossing time of the modulation wavelength. The fluctuation kinetic energy decreases as $L^{-p}$ with $p=2.5$, which indicates that the growth velocity of the RMI decreases in proportion to $L^{-p/2}$ by the presence of the transition layer. This feature is found to be quite universal and appeared in a wide range of shock-interface interactions.

arXiv comment11 pages, 8 figures, 1 table, accepted for publication in PRE

References in corpus (6)

• Turbulence and Magnetic Field Amplification in Supernova Remnants: Interactions Between A Strong Shock Wave and Multi-Phase Interstellar Medium
• The Magnetic Rayleigh-Taylor Instability in Three Dimensions
• On the Hydrodynamic Interaction of Shock Waves with Interstellar Clouds. II. The Effect of Smooth Cloud Boundaries on Cloud Destruction and Cloud Turbulence
• Magnetic Field Amplification Associated with the Richtmyer-Meshkov Instability
• Critical Magnetic Field Strength for Suppression of the Richtmyer-Meshkov Instability in Plasmas
• The interaction of hydrodynamic shocks with self-gravitating clouds

Cited by in corpus (2)

• Passive freeze-out of the Richtmyer-Meshkov instability
• Alfven number for the Richtmyer-Meshkov instability in magnetized plasmas