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

这项研究的目的是采用隐式重新启动的Arnoldi方法的方法来模拟在太阳黑子和气孔中观察到的线性磁流体动态波，并提供高分辨率的数据。这种方法的优点是通过迭代算法，在满足收敛条件的情况下，高精度地计算无明显对称性的不规则形状磁波导的固有振动模(即本征值和本征函数)，从而简化问题。这是一种对太阳黑子和气孔中观察到的振荡进行建模的最有前途的方法，这些气孔的横截面通常非常不规则。由于最近建造了4米长的丹尼尔·K·井上太阳望远镜，这项研究将是最及时的，这是有史以来建造的最强大的太阳望远镜。

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.