可分离、持续生产喷出源模型生成的阿萨伊箔轨迹的隐式解法

IF 2.7 3区 物理与天体物理 Q2 PHYSICS, APPLIED Journal of Applied Physics Pub Date : 2024-09-17 DOI:10.1063/5.0228457
I. L. Tregillis, Aaron Koskelo
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引用次数: 0

摘要

在一般情况下,撞击喷射云是由源函数产生的,而源函数的特征是任意(持续)时间依赖性和与时间无关的(静止)粒子速度分布,我们针对这种情况,提出了一种薄阿萨伊箔喷射诊断随时间变化的轨迹的简单隐式解法。在源函数的时间依赖性变为三角函数的极限情况下,这个解决方案--可用于任意精度的快速数值计算--精确地恢复了之前公布的针对瞬时喷出物产生这一特殊情况的解决方案。我们还推导出了自由表面到达(追赶)时间以及加速箔片上真实喷出物面积质量累积的简单表达式,并对将瞬时产生质量的解决方案应用于持续产生轨迹时所产生的误差水平进行了限制。我们通过假设源函数的示例计算来演示这些解决方案,这些假设源函数涵盖了广泛的喷出物产生持续时间、速度分布和时间行为。这些计算表明,箔条轨迹通常对源函数的时间依赖性不敏感,而是受速度分布的支配。我们使用 "兼容性分数 "指标来量化这种不敏感性。在某些条件下,我们可以利用这种不敏感性,从观测到的箔片轨迹中获得速度分布二次积分的良好近似值。
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An implicit solution for Asay foil trajectories generated by separable, sustained-production ejecta source models
We present a simple implicit solution for the time-dependent trajectory of a thin Asay foil ejecta diagnostic for the general case where the impinging ejecta cloud is generated by a source function characterized by an arbitrary (sustained) time dependence and a time-independent (stationary) particle velocity distribution. In the limit that the source function time dependence becomes a delta function, this solution—which is amenable to rapid numerical calculations of arbitrary accuracy—exactly recovers a previously published solution for the special case of instantaneous ejecta production. We also derive simple expressions for the free-surface arrival (catch-up) time as well as the true ejecta areal mass accumulation on the accelerating foil and place bounds on the level of error incurred when applying instant-production mass solutions to a sustained-production trajectory. We demonstrate these solutions with example calculations for hypothetical source functions spanning a wide range of ejecta production durations, velocity distributions, and temporal behaviors. These calculations demonstrate how the foil trajectory is often insensitive to the temporal dependence of the source function, instead being dominated by the velocity distribution. We quantify this insensitivity using a “compatibility score” metric. Under certain conditions, one may capitalize upon this insensitivity to obtain a good approximation of the second integral of the velocity distribution from the observed foil trajectory.
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来源期刊
Journal of Applied Physics
Journal of Applied Physics 物理-物理:应用
CiteScore
5.40
自引率
9.40%
发文量
1534
审稿时长
2.3 months
期刊介绍: The Journal of Applied Physics (JAP) is an influential international journal publishing significant new experimental and theoretical results of applied physics research. Topics covered in JAP are diverse and reflect the most current applied physics research, including: Dielectrics, ferroelectrics, and multiferroics- Electrical discharges, plasmas, and plasma-surface interactions- Emerging, interdisciplinary, and other fields of applied physics- Magnetism, spintronics, and superconductivity- Organic-Inorganic systems, including organic electronics- Photonics, plasmonics, photovoltaics, lasers, optical materials, and phenomena- Physics of devices and sensors- Physics of materials, including electrical, thermal, mechanical and other properties- Physics of matter under extreme conditions- Physics of nanoscale and low-dimensional systems, including atomic and quantum phenomena- Physics of semiconductors- Soft matter, fluids, and biophysics- Thin films, interfaces, and surfaces
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