旋转FRC等离子体磁压缩的Spencer标度律不变区域
Invariant regimes of Spencer scaling law for magnetic compression of rotating FRC plasma
AI总结：
本文通过NIMROD模拟与Spencer一维理论对比，证明旋转FRC磁压缩的压强和半径标度在压缩比达6时保持不变，并揭示其源于角动量守恒。
摘要：
本文研究了环形旋转场反位形（FRC）磁压缩的标度律。使用NIMROD代码[C. R. Sovinec等，J. Comput. Phys. 195, 355 (2004)]对旋转FRC磁压缩进行磁流体力学（MHD）模拟，并与Spencer的一维（1D）理论[R. L. Spencer等，Phys. Fluids 26, 1564 (1983)]在广泛的初始流速和剖面范围内进行比较。环形流可以通过改变压缩功直接影响标度律，这一点在一维绝热模型中也得到了证实，同时还可以通过重塑初始平衡间接影响标度律。然而，与静态初始FRC平衡情况相比，在存在初始平衡流的情况下，当磁压缩比$B_{w2}/B_{w1}$达到6时，压强和半径的标度律保持不变，这表明Spencer标度律在FRC磁压缩中具有更广泛的适用范围。该不变标度已被证明是动态压缩过程中流体和磁场角动量守恒的自然结果。
英文摘要：
The scaling laws for the magnetic compression of a toroidally rotating field reversed configuration (FRC) have been investigated in this work. The magnetohydrodynamics (MHD) simulations of the magnetic compression on rotating FRCs employing the NIMROD code [C. R. Sovinec \textit{et al.}, J. Comput. Phys. \textbf{195}, 355 (2004)], are compared with the Spencer's one-dimensional (1D) theory [R. L. Spencer \textit{et al.}, Phys. Fluids \textbf{26}, 1564 (1983)] for a wide range of initial flow speeds and profiles. The toroidal flow can influence the scalings directly through the alteration of the compressional work as also evidenced in the 1D adiabatic model, and indirectly by reshaping the initial equilibrium. However, in comparison to the static initial FRC equilibrium cases, the pressure and the radius scalings remain invariant for the magnetic compression ratio $B_{w2}/B_{w1}$ up to 6 in presence of the initial equilibrium flow, suggesting a broader applicable regime of the Spencer scaling law for FRC magnetic compression. The invariant scaling has been proven a natural consequence of the conservation of angular momentum of both fluid and magnetic field during the dynamic compression process.
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