论文标题
在光晶波指导中的精确和近似MHD慢速体模式解决方案的比较
Comparison of exact and approximate MHD slow body mode solutions in photospheric waveguides
论文作者
论文摘要
在这项研究中，我们探讨了简化在光磁结构中观察到的磁性水力动力学（MHD）慢体模式的建模的可能性，例如黑子和毛孔的遮盖物。简化的方法假设可以通过强加相对于管轴的速度的纵向成分在磁通量管的边界上占零，这可以得出慢体波的特征值的变化，这与观察值非常吻合。为了证明我们的方法是合理的，我们将简化模型的慢速体模式的结果与通过在磁导管边界处施加速度的径向分量的连续性和总压力来比较了圆柱通量管中的慢体模式。我们的结果表明，在高度精度（对于被考虑的模型中小于1 \％）中，当在光谱条件下对慢体模式建模时，可以忽略横向速度和压力的连续性条件。
In this study we explore the possibility of simplifying the modeling of magnetohydrodynamic (MHD) slow body modes observed in photospheric magnetic structure such as the umbrae of sunspots and pores. The simplifying approach assumes that the variation of the eigenvalues of slow body waves can be derived by imposing that the longitudinal component of velocity with respect to the tube axis is zero at the boundary of the magnetic flux tube, which is in a good agreement with observations. To justify our approach we compare the results of our simplified model for slow body modes in cylindrical flux tubes with the model prediction obtained by imposing the continuity of the radial component of the velocity and total pressure at the boundary of the flux tube. Our results show that, to a high accuracy (less than 1\% for the considered model), the conditions of continuity of the component of transversal velocity and pressure at the boundary can be neglected when modelling slow body modes under photospheric conditions.
