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.

该研究的目的是采用隐式重启阿诺尔迪方法来模拟在太阳黑子和孔隙中观测到的高分辨率数据的线性磁流体动力波。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不规则形状、不具有明显对称性的磁波导的自然振荡模式（即特征值和特征函数），从而可以简化问题。这是模拟太阳黑子和孔隙中观察到的振荡的最有前途的方法，这些太阳黑子和孔隙通常具有高度不规则的横截面，并且由于最近建造了迄今为止最强大的太阳望远镜 4m Daniel K. Inouye 太阳望远镜，这项研究将是最及时的。