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High spatial resolution equilibrium reconstruction

机译：高空间分辨率平衡重建

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The extension of the EFIT equilibrium reconstruction code to fine spatial-grid resolutions is discussed. The residue in the force-balance relation of the Grad-Shafranov (G-S) equation and the convergence property of these fine spatial-grid EFIT equilibria are studied in detail. The results suggest that fine spatial-grid equilibria generally better satisfy the force-balance constraint described by the G-S equation. Finer spatial-grid equilibria have typically smaller average error in satisfying the force-balance equation than coarse-grid equilibria and those extrapolated from coarse-grid results. Analysis of the equilibrium iteration algorithm employed in EFIT reveals that the iteration process is related to the spatial feedback stabilization of the plasma with flux control at various specified locations. Thus, for a converged equilibrium, axisymmetric stability is generally expected with feedback. The iteration error decreases self-similarly in the final stage of the iteration process and is related to the least stable axisymmetric mode in the feedback-stabilized equilibrium.
机译：讨论了将EFIT平衡重建代码扩展为精细的空间网格分辨率的方法。详细研究了Grad-Shafranov（G-S）方程的力平衡关系中的残差以及这些精细的空间网格EFIT平衡的收敛性。结果表明，精细的空间网格平衡通常较好地满足了由G-S方程描述的力平衡约束。在满足力平衡方程式时，较细的空间网格平衡通常要比粗糙网格平衡和从粗糙网格结果推断的平均误差小。对EFIT中采用的平衡迭代算法的分析表明，迭代过程与在各个指定位置进行通量控制的等离子体的空间反馈稳定性有关。因此，对于收敛的平衡，通常期望具有反馈的轴对称稳定性。迭代误差在迭代过程的最后阶段自相似地减小，并且与反馈稳定的平衡中最不稳定的轴对称模式有关。

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