Modelling magnetohydrodynamic waves in waveguides of irregular cross-sectional shape with the implicitly restarted Arnoldi method

本研究的目的是采用隐式重新启动的Arnoldi方法，对高分辨率数据观测到的太阳黑子和孔隙中的线性磁流体动力波进行建模。该方法的优点是通过迭代算法，在满足收敛条件的情况下，可以高精度地计算出无明显对称性的不规则形状磁波导的自然振荡模态（即本征值和本征函数），从而简化了问题。这是一种最有前途的方法来模拟在太阳黑子和孔隙中观测到的振荡，它们通常具有高度不规则的横截面，由于最近建造的4m Daniel K. Inouye太阳望远镜，这是有史以来最强大的太阳望远镜，这项研究将是最及时的。

The aim of the research is to adapt the methodology of the implicitly restarted Arnoldi method to model linear magnetohydrodynamic waves observed in solar sunspots and pores with high resolution data. The advantage of this method is that by an iterative algorithm, if convergence conditions are satisfied, it will, to high accuracy, calculate the natural oscillatary modes (i.e. the eigenvalues and eigenfunctions) of irregularly shaped magnetic waveguides with no obvious symmetries which can be exploited to simplify the problem. This is a most promising approach to model the oscillations observed in sunspots and pores, which often have highly irregular cross-sections, and this research will be most timely due to the recent construction of the 4m Daniel K. Inouye Solar Telescope, the most powerful solar telescope ever built.