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arXiv 2209.08280physics.plasm-ph
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磁场反向磁压缩的MHD模拟

MHD Simulations on Magnetic Compression of Field Reversed Configurations

Yiming Ma, Ping Zhu, Bo Rao, Haolong Li

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23 pages, 10 figures
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摘要：

磁压缩是场反转位形（FRC）等离子体加热的一种有前途的方法，然而，由于磁压缩过程的高度动态性，其物理机制一直是一个挑战[R. L. Spencer等人，Phys.Fluids 26，1564（1983）]。本文利用NIMROD程序[C。R. Sovinec等人，J. Comput. Phys.195，355（2004）]，并与一维理论进行了比较。探讨了理论假设对压缩过程的影响，并研究了FRC在压缩过程中的详细轮廓。在各种初始条件下，压力的演变与理论预测一致。FRC的轴向收缩可以受到初始密度分布和压缩磁场的斜坡率的影响，但是在整个压缩过程中，关于FRC长度的理论预测以及特别是关系$r_s=\sqrt{2}r_o$大致保持良好，其中$r_s$是FRC分界线的长半径，$r_o$是磁轴的长半径。初始平衡剖面和压缩磁场的上升速率对密度和温度的演化有重要影响。在压缩期间，FRC的主半径是易受压缩场的斜坡率影响的另一个参数。基本上，对于相同的磁压缩比，峰值密度更高，FRC的半径$r_s$小于理论预测。

英文摘要：

The magnetic compression has long been proposed a promising method for the plasma heating in a field reversed configuration (FRC), however, it remains a challenge to fully understand the physical mechanisms underlying the compression process, due to its highly dynamic nature beyond the one-dimensional (1D) adiabatic theory model [R. L. Spencer et al., Phys. Fluids 26, 1564 (1983)]. In this work, magnetohydrodynamics (MHD) simulations on the magnetic compression of FRCs using the NIMROD code [C. R. Sovinec et al., J. Comput. Phys. 195, 355 (2004)] and their comparisons with the 1D theory have been performed. The effects of the assumptions of the theory on the compression process have been explored, and the detailed profiles of the FRC during compression have been investigated. The pressure evolution agrees with the theoretical prediction under various initial conditions. The axial contraction of the FRC can be affected by the initial density profile and the ramping rate of the compression magnetic field, but the theoretical predictions on the FRC's length in general and the relation $r_s=\sqrt{2}r_o$ in particular hold approximately well during the whole compression process, where $r_s$ is the major radius of FRC separatrix and $r_o$ is that of the magnetic axis. The evolutions of the density and temperature can be affected significantly by the initial equilibrium profile and the ramping rate of the compression magnetic field. During the compression, the major radius of the FRC is another parameter that is susceptible to the ramping rate of the compression field. Basically, for the same magnetic compression ratio, the peak density is higher and the FRC's radius $r_s$ is smaller than the theoretical predictions.

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