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Reshocking at the non-linear stage of Richtmyer-Meshkov instability

机译：在Richtmyer-Meshkov不稳定的非线性阶段重新震荡

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摘要

The instability of an interface between two media after the passage of two shocks that follow one after the other at a certain time interval is studied numerically. A simple formula suggested earlier (Charakhch'yan 2000 Prikl Mekh. Tekh. Fiz. 41 28-37) for reshocking a free aluminum surface is confirmed for shocks from aluminum to deuterium ice, from air to helium and from freon to air. The formula describes reshocking at the non-linear stage of the instability evolution and is independent both of the wavelength of the initial perturbation and of the perturbation amplitude at the moment of reshocking. Both a sinusoidal initial perturbation and a perturbation in the form of a broken line are considered. It is demonstrated that the parameters of the second shock that ensure the freeze out phenomenon are determined using only the amplitude growth rate before reshocking. [References: 14]
机译：数值研究了两次冲击通过之后，两种冲击之间的相继运动，两种介质之间界面的不稳定性。早先提出了一个简单的公式（Charakhch'yan 2000 Prikl Mekh。Tekh。Fiz。41 28-37），该公式用于重新震荡自由的铝表面，从而证实了铝，氘冰，空气，氦气和氟利昂到空气的冲击。该公式描述了在不稳定性演化的非线性阶段进行的重新震荡，并且与初始扰动的波长以及重新震荡时的扰动幅度均无关。正弦初始扰动和虚线形式的扰动均被考虑。可以证明，确保重新冻结现象的第二次冲击的参数仅在重新冲击之前使用振幅增长率来确定。 [参考：14]

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