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arXiv 1306.1046astro-ph.HE
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相对论射流中Rayleigh-Taylor和Richtmyer-Meshkov不稳定性的二维数值研究

Two-dimensional Numerical Study for Rayleigh-Taylor and Richtmyer-Meshkov Instabilities in Relativistic Jets

Jin Matsumoto, Youhei Masada

摘要:

利用二维狭义相对论流体动力学模拟研究了非旋转单组分射流的稳定性。通过假设射流轴向平移不变性,排除了Kelvin-Helmholtz模的失稳效应。突出了具有正常射流速度的射流的横向结构的非线性演化。在我们的研究中,一个有趣的发现是,Rayleigh-Taylor和Richtmeier-Meshkov型不稳定性可以破坏圆柱形射流配置作为自发诱导的径向振荡运动的结果。这是由热能和体动能之间的原位能量转换提供动力。射流与周围介质的有效惯性比$η$决定了不稳定性开始的阈值。射流的横向结构持续存在时,应满足条件$η< 1$。

英文摘要:

We study the stability of a non-rotating single-component jet using two-dimensional special relativistic hydrodynamic simulations. By assuming translational invariance along the jet axis, we exclude the destabilization effect by Kelvin-Helmholtz mode. The nonlinear evolution of the transverse structure of the jet with a normal jet velocity is highlighted. An intriguing finding in our study is that Rayleigh-Taylor and Richtmeier-Meshkov type instabilities can destroy cylindrical jet configuration as a result of spontaneously induced radial oscillating motion. This is powered by in-situ energy conversion between the thermal and bulk kinetic energies. The effective inertia ratio of the jet to the surrounding medium $η$ determines a threshold for the onset of instabilities. The condition $η< 1$ should be satisfied for the transverse structure of the jet being persisted.

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