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Numerical Investigation of a Shock Accelerated Heavy Gas Cylinder in the Self-Similar Regime

机译:自相似条件下加速冲击的重汽缸的数值研究

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A detailed numerical simulation of a shock accelerated heavy gas (SF6) cylinder surrounded by air gas is presented. It is a simplified configuration of the more general shock-accelerated inhomogeneous flows which occur in a wide variety of astrophysical systems. From the snapshots of the time evolution of the gas cylinder, we find that the evolution of the shock accelerated gas cylinder is in some ways similar to the roll-ups of a vortex sheet for both roll up into a spiral and fall into a self-similar behavior. The systemic and meaningful analyses of the negative circulation, the center of vorticity and the vortex spacing are in a good agreement with results obtained from the prediction of vorticity dynamics. Unlike the mixing zone width in single-mode or multi-mode Richtmyer-Meshkov instability which doesn’t exist, a single power law of time owing to the bubble and spike fronts follow a power law of tθ with different power exponents, the normalized length of the shock accelerated gas cylinder follows a single power law with θ = 0.43 in its self-similar regime obtained from the numerical results.
机译:给出了被空气包围的冲击加速重气(SF6)气缸的详细数值模拟。它是在各种天体物理系统中发生的更普遍的冲击加速不均匀流的简化配置。从气瓶时间演变的快照中,我们发现冲击加速气瓶的演变在某种程度上类似于涡流片的卷起,因为卷起成螺旋形并落入自类似的行为。对负循环,涡旋中心和涡旋间距的系统且有意义的分析与从涡旋动力学预测中获得的结果非常吻合。与不存在单模或多模Richtmyer-Meshkov不稳定性的混合区宽度不同,由于气泡和尖峰前缘的单一时间幂定律遵循tθ幂定律,且幂指数不同,归一化长度从数值结果获得的自加速状态下,冲击加速气瓶的θ遵循单一幂定律,θ= 0.43。

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