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Zero Flux Eigenvalues (ZFE’s) of Tight Aspect Ratio Tokamaks

机译:紧密纵横比托卡马克的零通量特征值(ZFE)

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Compact toroidal magnetized plasmas are an important part of the world’s magnetic fusion and plasma science efforts. These devices can play an integral role in the development of magnetic fusion as a viable commercial energy source, and in our understanding of plasma instabilities, particle and energy transport, and magnetic field transport. In this paper, we are developing a numerical program to study the magnetic dynamo or relaxation of CT’s characterized by arbitrary tight aspect ratio (major to minor radii of tokamak) and arbitrary cross-sections (Multi-pinch and D-Shaped). The lowest ZFE’s has been calculated through the Taylor’s relaxed state (force-free) toroidal plasmas equation. For ZFE’s, we use the toroidal flux vanishing boundary condition along the whole boundary of tokamaks. Several runs of the program for various wave numbers showed that ZFE was very insensitive to the choice of wave numbers. Besides, the CT’s poloidal magnetic field topologies are well represented. It was very interesting to check our methods for the cases when aspect ratio tends to unity (zero tokamak whole). A good fulfillment of the boundary condition is achieved.
机译:紧凑的环形磁化等离子体是世界磁聚变和等离子体科学工作的重要组成部分。这些设备在磁聚变作为一种可行的商业能源的发展中,以及在我们对等离子体不稳定性,粒子和能量传输以及磁场传输的理解中都可以发挥不可或缺的作用。在本文中,我们正在开发一个数值程序,以研究具有任意紧密的长宽比(托卡马克的大到小半径)和任意横截面(多捏和D形)特征的CT的磁力或松弛。最低的ZFE是通过泰勒的松弛状态(无力)环形等离子体方程计算得出的。对于ZFE,我们沿托卡马克的整个边界使用环形通量消失边界条件。针对各种波数的程序的多次运行表明ZFE对波数的选择非常不敏感。此外,CT的极向磁场拓扑也得到了很好的体现。检查我们的方法是否适合纵横比趋于统一(零托卡马克整体)的情况非常有趣。边界条件的良好实现。

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