Benchmarking multi-fluid plasma-electromagnetic models

K. Beckwith, M. Kundrapu, P. Stoltz, J. Luginsland
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Abstract

Summary form only given. The dynamical behavior of plasmas is strongly dependent on frequency. At the lowest frequency the plasma is in the regime of magnetohydrodynamics (MHD) and has been the focus of extensive research in fluid plasma modeling in the past few decades. At somewhat higher frequencies, the electrons and ions can move relative to each other, behaving like two charge separated, interpenetrating fluids. This is the regime of high-frequency, non-neutral two-fluid physics and is relevant to high-density, fast MHD phenomena encountered in pulsed-power devices like dense plasma focus, Z-pinches, plasma thrusters and field-reversed configurations. Although initial work has been done on efficiently solving fast MHD phenomena, several open research problems remain. For example, implicit schemes developed for application in slow MHD can not be applied directly as pulsed-power devices commonly exhibit shocks and other sharp features in the flow. To meet this need, we have developed fully implicit schemes for solving the two fluid equations based on a combination of physics-based preconditioning and Jacobian-Free Newton Krylov solvers. Here, we present application of this approach to a range of problems, including shock physics, ambipolar expansion and shear flow. Results obtained from our approach will be compared to analytic theory and, where appropriate, magnetohydrodynamic and kinetic simulations.
对标多流体等离子体电磁模型
只提供摘要形式。等离子体的动力学行为强烈依赖于频率。在最低频率下,等离子体处于磁流体动力学(MHD)状态,在过去的几十年里一直是流体等离子体模型广泛研究的焦点。在更高的频率下,电子和离子可以相对移动,表现得像两个分离的电荷,相互渗透的流体。这是一种高频、非中性的双流体物理,与高密度、快速MHD现象有关,这些现象在脉冲功率设备中遇到,如密集等离子体聚焦、z压缩、等离子体推进器和场反转配置。虽然在有效地解决快速MHD现象方面已经做了初步的工作,但仍存在一些开放的研究问题。例如,为慢速MHD应用而开发的隐式方案不能直接应用,因为脉冲功率装置通常在流动中表现出冲击和其他尖锐特征。为了满足这一需求,我们开发了基于物理预处理和无雅可比牛顿克rylov求解相结合的完全隐式方案来求解这两个流体方程。在这里,我们介绍了这种方法在一系列问题上的应用,包括激波物理、双极膨胀和剪切流。从我们的方法中获得的结果将与分析理论进行比较,并在适当的情况下与磁流体动力学和动力学模拟进行比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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