用理想MHD模拟脉冲功率驱动等离子体
Simulating a pulsed power-driven plasma with ideal MHD
摘要：
本文描述了一种简单实用的数值方法，用于模拟脉冲功率发生器在真空室内驱动等离子体。通常，在这种类型的模拟中，邻近等离子体的真空区域近似为高电阻的轻流体;这涉及计算昂贵的求解器，用于描述磁场通过该流体的扩散。相反，我们提供了一个配方，用于耦合脉冲功率发生器的MHD域近似的完全绝缘的真空作为一个光，完全导电，无粘MHD流体，并讨论这种反直觉技术的适用性。这是更实惠的理想MHD表示，是特别有用的情况下，等离子体表现出有趣的三维现象，无论是由于实验的设计或由于发展的不稳定性。我们验证了这种耦合配方的工作原理，通过建模一个完全可解的通量压缩发电机以及自相似的Noh-like解决方案，并证明收敛到理论解。我们还展示了用这种技术模拟复杂的三维脉冲功率器件的例子。我们向公众发布代码实现。
英文摘要：
We describe a simple practical numerical method for simulating plasma driven within a vacuum chamber by a pulsed power generator. Typically, in this type of simulation, the vacuum region adjacent to the plasma is approximated as a highly resistive, light fluid; this involves computationally expensive solvers describing the diffusion of the magnetic field through this fluid. Instead, we provide a recipe for coupling pulsed power generators to the MHD domain by approximating the perfectly insulating vacuum as a light, perfectly conducting, inviscid MHD fluid and discuss the applicability of this counter-intuitive technique. This, much more affordable ideal MHD representation, is particularly useful in situations where a plasma exhibits interesting three-dimensional phenomena, either due to the design of the experiment or due to developing instabilities. We verified that this coupling recipe works by modeling an exactly solvable flux compression generator as well as a self-similar Noh-like solution and demonstrated convergence to the theoretical solution. We also showed examples of simulating complex three-dimensional pulsed power devices with this technique. We release our code implementation to the public.
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