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Comparison of electron drift waves in numerical and analytical Tokamak equilibria

机译:数值和解析托卡马克平衡中电子漂移波的比较

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摘要

In this paper, we demonstrate the importance of the details of the equilibria on the stability of electron drift waves. A comparison of electrostatic electron drift waves in numerical and analytical tokamak equilibria is presented in fully three-dimensional circular and non-circular tokamaks. The numerical equilibria are obtained using the variational moments equilibrium code and the analytical equilibria used is the generalized (s) over cap-alpha model. An eigenvalue equation for the model is derived using the ballooning mode formalism and solved numerically using a standard shooting technique. The stability and the localization of the electron drift wave is found to be strongly dependent on the local shear of the magnetic field. Large values of the local shear are found to be stabilizing. A disagreement in the results is found between analytical and numerical equilibria at aspect ratios of typical tokamaks, suggesting that the latter approach should be used in the transport calculations. The effects of the local shaping of the magnetic surfaces are complicated and can be both stabilizing and destabilizing, depending on the details of the equilibria.
机译:在本文中,我们证明了平衡细节对电子漂移波稳定性的重要性。在完全三维圆形和非圆形托卡马克中,对数值和分析托卡马克平衡中的静电电子漂移波进行了比较。使用变矩力矩平衡码获得数值平衡,并且所使用的解析平衡是在cap-alpha模型上的广义化。该模型的特征值方程式使用膨胀模式形式主义导出,并使用标准射击技术进行数值求解。发现电子漂移波的稳定性和局域性在很大程度上取决于磁场的局部剪切。发现较大的局部剪切力值是稳定的。在典型托卡马克长宽比的分析和数值平衡之间发现了结果分歧,这表明在运输计算中应使用后一种方法。取决于平衡的细节,磁性表面的局部整形的影响是复杂的,并且既可以稳定也可以不稳定。

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