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

使用隐式重新启动的 Arnoldi 方法对不规则横截面形状的波导中的磁流体动力波进行建模

• 批准号: 2476500
• 金额: --
• 依托单位: University of Sheffield
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2476500
• 关键词: Modelling; magnetohydrodynamic; waves; waveguides; irregular

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.

这项研究的目的是调整隐式重新启动的Arnoldi方法的方法，以模拟在太阳能黑子和具有高分辨率数据的孔中观察到的线性磁性水动力波。这种方法的优点是，通过迭代算法，如果满足收敛条件，则将高精度计算出不规则形状的磁性波导的天然振荡模式（即，没有明显的符号符号的自然振荡模式（即特征值和特征函数），而没有明显的符号符号来简化问题。这是模拟在黑子和毛孔中观察到的振荡的最有前途的方法，这些振荡通常具有高度不规则的横截面，这项研究将是最及时的，这是由于最近在4M Daniel K. Inouye太阳能望远镜（有史以来最强大的太阳能望远镜）中建造的。