有限差分势场的变分
Variations in Finite Difference Potential Fields
摘要：
日冕位场解是一种重要的建模工具，在最小能量估算、日冕磁场建模和经验太阳风解等方面有着广泛的应用。考虑到PF的受欢迎程度，理解在计算PF时所做的选择如何影响解决方案的关键属性是很重要的。在这里，我们研究PF解决方案的全球日冕磁场2012年6月13日，计算与我们的高性能有限差分代码POT3D。解决方案进行了分析，他们的全球性和当地周围的NOAA AR 11504，使用净开放通量，开放领域的边界，总磁能，和磁结构作为指标。我们探讨PF解决方案如何取决于1）数据源，类型和处理的内边界条件，2）选择的外边界条件的高度和类型，和3）的数值分辨率和空间尺度的信息在较低的边界。我们讨论了各种定性和定量的差异，自然产生的使用不同的地图作为输入，并说明如何冠状形态和开放的流量最强烈地依赖于外边界条件。我们还展示了如何大规模的形态和开放的磁通量是显着不敏感的模型分辨率，而表面映射和嵌入的磁性复杂性变化很大。这为PF在日冕和太阳风建模中的过去、当前和未来应用建立了重要的背景。
英文摘要：
The potential field (PF) solution of the solar corona is a vital modeling tool for a wide range of applications, including minimum energy estimates, coronal magnetic field modeling, and empirical solar wind solutions. Given its popularity, it is important to understand how choices made in computing a PF may influence key properties of the solution. Here we study PF solutions for the global coronal magnetic field on 2012 June 13, computed with our high-performance finite difference code POT3D. Solutions are analyzed for their global properties and locally around NOAA AR 11504, using the net open flux, open field boundaries, total magnetic energy, and magnetic structure as metrics. We explore how PF solutions depend on 1) the data source, type, and processing of the inner boundary conditions, 2) the choice of the outer boundary condition height and type, and 3) the numerical resolution and spatial scale of information at the lower boundary. We discuss the various qualitative and quantitative differences that naturally arise by using different maps as input, and illustrate how coronal morphology and open flux depend most strongly on the outer boundary condition. We also show how large-scale morphologies and the open magnetic flux are remarkably insensitive to model resolution, while the surface mapping and embedded magnetic complexity vary considerably. This establishes important context for past, current, and future applications of the PF for coronal and solar wind modeling.
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