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arXiv 2005.12871astro-ph.SR
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太阳大气中涡旋的演化:涡旋强度的动力学方程

Vortices evolution in the solar atmosphere: A dynamical equation for the swirling strength

J. R. Canivete Cuissa, O. Steiner

摘要:

本文应用并推导了两个涡旋识别准则的解析演化方程,研究了太阳大气中的涡旋动力学。使用的两个标准是涡度和旋流强度。涡度在剪切流的存在下可能有偏差,但其动力学方程是众所周知的;涡旋强度是识别涡度流的更精确的标准,但其演化方程尚不清楚。因此,我们探讨了推导出涡旋强度动力学方程的可能性。然后,我们应用这两个方程来分析与CO 5 BOLD代码产生的太阳大气的辐射MHD模拟。本文对涡旋强度准则及其演化方程的数学推导进行了详细的评述。这个方程并不存在于文献中之前,它构成了一个新的工具,是适合于广泛的问题(磁)流体力学的分析。通过应用这个方程的数值模式,我们发现,流体动力学和磁斜压性是驱动的物理过程,负责在对流区和光球涡旋的产生。在色球层的高处,只有磁项占主导地位。此外,我们还发现,在小尺度下,特别是在磁通量集中区,涡旋强度是以混沌的方式产生的。涡旋强度是识别湍流(如太阳大气中的湍流)中涡旋的适当标准。此外,它的演变方程,这是本文中推导出的,是关键的,以获得精确的信息,这些涡的动力学和物理机制,负责其生产和演变。由于该方程的存在,旋流强度是研究磁流体力学中旋涡动力学的理想量。

英文摘要:

We study vortex dynamics in the solar atmosphere by employing and deriving the analytical evolution equations of two vortex identification criteria. The two criteria used are vorticity and the swirling strength. Vorticity can be biased in the presence of shear flows, but its dynamical equation is well known; the swirling strength is a more precise criterion for the identification of vortical flows, but its evolution equation is not known yet. Therefore, we explore the possibility of deriving a dynamical equation for the swirling strength. We then apply the two equations to analyze radiative MHD simulations of the solar atmosphere produced with the CO5BOLD code. We present a detailed review of the swirling strength criterion and the mathematical derivation of its evolution equation. This equation did not exist in the literature before and it constitutes a novel tool that is suitable for the analysis of a wide range of problems in (magneto-)hydrodynamics. By applying this equation to numerical models, we find that hydrodynamical and magnetic baroclinicities are the driving physical processes responsible for vortex generation in the convection zone and the photosphere. Higher up in the chromosphere, the magnetic terms alone dominate. Moreover, we find that the swirling strength is produced at small scales in a chaotic fashion, especially inside magnetic flux concentrations. The swirling strength represents an appropriate criterion for the identification of vortices in turbulent flows, such as those in the solar atmosphere. Moreover, its evolution equation, which is derived in this paper, is pivotal for obtaining precise information about the dynamics of these vortices and the physical mechanisms responsible for their production and evolution. Since this equation is available, the swirling strength is now the ideal quantity to study the dynamics of vortices in (magneto-)hydrodynamics.

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