标题： 近似匹配技术在理想稳定性边界附近的撕裂模稳定性研究 显示英文标题

标题： Investigation of Tearing Mode Stability Near Ideal Stability Boundaries Via Asymptotic Matching Techniques

摘要： 对TJ环面撕裂模代码[Phys. Plasmas 31, 102507 (2024)]进行了一些改进，这些改进已被记录下来。TJ代码还成功地与STRIDE环面撕裂模代码[Phys. Plasmas 25, 082502 (2018)]进行了基准测试。最后，利用TJ代码的新功能研究了在接近理想稳定性边界时，该边界与外部kink模式或内部kink模式相关联，撕裂模在托卡马克等离子体中的稳定性。所有撕裂稳定性矩阵的元素在接近理想稳定性边界时都会趋于无穷大。此外，当接近稳定性边界时，等离子体中各种撕裂模的本征函数，这些模被剪切等离子体旋转解耦，都被发现转变为边缘稳定理想模的形状。然而，各种“理想撕裂模”的增长率和实频彼此不同。此外，重新连接位于等离子体边缘最近的有理表面处磁通量的理想撕裂模的增长率在接近稳定性边界时趋于一个非常大的值。描述并验证了一种相对简单的理想稳定性测试方法，该方法能够在存在非常贴合的理想壁的情况下检测外部kink和内部kink模式的稳定性边界。 显示英文摘要

摘要： A number of improvements to the TJ toroidal tearing mode code [Phys. Plasmas 31, 102507 (2024)] are documented. The TJ code is also successfully benchmarked against the STRIDE toroidal tearing mode code [Phys. Plasmas 25, 082502 (2018)]. Finally, the new capabilities of the TJ code are used to investigate the stability of tearing modes in tokamak plasmas as an ideal stability boundary, associated with either an external-kink or an internal-kink mode, is approached. All elements of the tearing stability matrix are found to tend to infinity as an ideal stability boundary is approached. Furthermore, as the stability boundary is approached, the eigenfunctions of the various tearing modes in the plasma, which are decoupled by sheared plasma rotation, are all found to morph into that of the marginally-stable ideal mode. However, the growth-rates and real frequencies of the various ``ideal-tearing-modes'' are different from one another. Moreover, the growth-rate of the ideal-tearing-mode that reconnects magnetic flux at the rational surface that lies closest to the edge of the plasma is the one that tends to a very large value as the stability boundary is approached. A relatively simple test for ideal stability that is capable of detecting stability boundaries for external-kink and internal-kink modes, even in the presence of a very close-fitting ideal wall, is described and verified.