The method of solving the linear resistive plasma response, based on the asymptotic matching approach, is developed for full toroidal tokamaks by upgrading the resistive DCON code [A. H. Glasser, Z. R. Wang, and J.-K. Park, Phys. Plasmas 23, 112506 (2016)]. The derived matching matrix, asymptotically matching the outer and inner regions, indicates that the applied three dimension (3-D) magnetic perturbations contribute additional small solutions at each resonant surface due to the toroidal coupling of poloidal modes. In contrast, the resonant harmonic only affects the corresponding resonant surface in the cylindrical plasma. The solution of the ideal outer region is critical to the asymptotic matching and is challenging in toroidal geometry due to the singular power series solution at the resonant surfaces. Thus, a systematic verification of the outer region Δ ′ matrix is made by reproducing the well-known analytical Δ ′ result in Furth et al. [Phys. Fluids 16, 1054–1063 (1073)] and by making a quantitative benchmark with the PEST3 code [A. Pletzer and R. L. Dewar, J. Plasma Phys. 45, 427–451 (1991)]. Finally, the reconstructed numerical solution of the resistive plasma response from the toroidal matching matrix is presented. Compared with the ideal plasma response, the global structure of the response can be affected by the small finite island at the resonant surfaces.

中文翻译：

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使用渐近匹配方法模拟环形几何中的电阻等离子体响应

解决线性电阻等离子体响应的方法，基于渐近匹配方法，是通过升级电阻 DCON 代码为全环形托卡马克开发的 [AH Glasser、ZR Wang 和 J.-K. 帕克，物理。等离子体 23, 112506 (2016)]。导出的匹配矩阵渐近匹配外部和内部区域，表明由于极向模式的环形耦合，应用的三维 (3-D) 磁扰在每个谐振表面贡献了额外的小解。相比之下，谐振谐波只影响圆柱等离子体中相应的谐振表面。理想外部区域的解决方案对于渐近匹配至关重要，并且由于谐振表面处的奇异幂级数解决方案，在环形几何中具有挑战性。因此，通过重现 Furth 等人著名的分析 Δ ' 结果，对外部区域 Δ ' 矩阵进行了系统验证。[物理。Fluids 16, 1054–1063 (1073)] 并使用 PEST3 代码 [A. Pletzer 和 RL Dewar，J. Plasma Phys。45, 427–451 (1991)]。最后，提出了从环形匹配矩阵重建电阻等离子体响应的数值解。与理想的等离子体响应相比，响应的整体结构会受到谐振表面的小有限岛的影响。提出了由环形匹配矩阵重建的电阻等离子体响应的数值解。与理想的等离子体响应相比，响应的整体结构会受到谐振表面的小有限岛的影响。提出了由环形匹配矩阵重建的电阻等离子体响应的数值解。与理想的等离子体响应相比，响应的整体结构会受到谐振表面的小有限岛的影响。