重力自由下落到质点的介质中的自相似绝热强爆炸
Self Similar Adiabatic Strong Explosion in a Medium Gravitationally Free Falling to a Point Mass
摘要：
我们开发了一个概括的经典Sedov泰勒爆炸介质自由降落到一个质点在爆炸的中心。为了验证我们的分析结果，我们将它们与一套数值模拟进行比较。我们发现存在一个临界能量，低于这个临界能量，激波在引力作用下失速并坍缩，而不是向外传播。此外，我们发现临界能量阈值的值随着绝热指数的增加而减小，并且材料在冲击区域内的分布更加均匀。我们将这个模型应用于以原中子星为质点的核塌缩超新星的激波反弹问题。临界能量和激波中质量分布之间的关系可能有助于解释湍流如何防止核心坍缩超新星爆炸中的激波失速和衰退。
英文摘要：
We develop a generalisation to the classical Sedov Taylor explosion where the medium free falls to a point mass at the centre of the explosion. To verify our analytic results, we compare them to a suite of numerical simulations. We find that there exists a critical energy below which, instead of propagating outward the shock stalls and collapses under gravity. Furthermore, we find that the value of the critical energy threshold decreases when the adiabatic index increases and material is more evenly distributed within the shocked region. We apply this model to the problem of a shock bounce in core collapse supernova, in which the proto neutron star serves as the point mass. The relation between the threshold energy and the distribution of mass in the shock might help explain how turbulence prevents shock stalling and recession in a core collapse supernova explosion.
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