Globally smooth approximations for shock pressure decay in impacts

Globally smooth approximations for shock pressure decay in impacts
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冲击中冲击压力衰减的全局平滑近似

DOI:
10.1016/j.icarus.2017.02.008
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发表时间:
2017
期刊:
影响因子:
3.2
通讯作者:
Ruedas
Ruedas
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ruedas

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提出了新形式的经验公式,近似描述了超高速撞击中冲击压力随距离衰减的情况。这些形式,这是为了在应用程序中使用,如大规模地幔对流模型,是连续的和光滑的,从点的影响,以任意大的距离,从而避免了需要将域划分为不同的衰减制度,并产生最大压力在一个自洽的方式,而不诉诸阻抗匹配的解决方案。给出了不同撞击速度下的拟合公式,特别是纯橄榄岩-纯橄榄岩撞击情况下的拟合公式。不同的衰变模型估计的冲击产生的温度效应,它们之间的差异被发现是巨大的,在某些情况下,可能会导致过度或低估的影响加热和熔融生产的建模环境,如地幔对流,这种参数化通常用于代表巨大的影响。
New forms of empirical formulae that provide an approximate description of the decay of shock pressure with distance in hypervelocity impacts are proposed. These forms, which are intended for use in applications such as large-scale mantle convection models, are continuous and smooth from the point of impact to arbitrarily large distances, thereby avoiding the need to divide the domain into different decay regimes and yielding the maximum pressure in a self-consistent way without resorting to the impedance-match solution. Individual fits for different impact velocities as well as a tentative general fitting formula are given, especially for the case of dunite-on-dunite impacts. The temperature effects resulting from the shock are estimated for different decay models, and the differences between them are found to be substantial in some cases, potentially leading to over- or underestimates of impact heating and melt production in modeling contexts like mantle convection, where such parameterizations are commonly used to represent giant impacts.
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