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arXiv 2202.13696astro-ph.SRphysics.comp-ph
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网格拓扑结构对日冕模拟中MHD解特征的影响

Effects of Mesh Topology on MHD Solution Features in Coronal Simulations

Michaela Brchnelova, Fan Zhang, Peter Leitner, Barbara Perri, Andrea Lani, Stefaan Poedts

摘要:

随着计算能力的提高,日冕的磁流体动力学(MHD)模拟变得越来越流行。现代计算等离子体代码,依赖于计算流体动力学(CFD)方法,允许使用太阳表面磁图作为输入来解析日冕特征。这些计算在全3D域中进行,因此选择正确的网格配置对于节省计算资源和实现/加速收敛至关重要。此外,已经观察到,对于接近流体静力平衡的MHD模拟,在网格结构之后的解中可能会出现虚假的数值伪影,这使得网格的选择也是对精度的关注。本文的目的是讨论和权衡两个主要的网格拓扑结构时,适用于全球太阳日冕模拟使用非结构化的理想MHD求解器从COOLFluiD平台。第一个拓扑是基于测地线多面体和第二个UV映射。重点将放在网格适应性,分辨率分布,产生虚假的数值通量和收敛性能等方面。为此,首先研究了旋转偶极子的情况,然后使用来自太阳极小期(1995年)和太阳极大期(1999年)的真实磁图进行了两次模拟。它的结论是,最合适的网格拓扑结构的模拟取决于几个因素,如精度要求,存在的功能附近的极地地区和/或强大的功能,在流场一般。如果需要考虑收敛性,并且模拟包含强动力学,则与更常规使用的UV映射网格相比,建议使用基于测地线多面体的网格。

英文摘要:

Magnetohydrodynamic (MHD) simulations of the solar corona have become more popular with the increased availability of computational power. Modern computational plasma codes, relying upon Computational Fluid Dynamics (CFD) methods, allow for resolving the coronal features using solar surface magnetograms as inputs. These computations are carried out in a full 3D domain and thus selection of the right mesh configuration is essential to save computational resources and enable/speed up convergence. In addition, it has been observed that for MHD simulations close to the hydrostatic equilibrium, spurious numerical artefacts might appear in the solution following the mesh structure, which makes the selection of the grid also a concern for accuracy. The purpose of this paper is to discuss and trade off two main mesh topologies when applied to global solar corona simulations using the unstructured ideal MHD solver from the COOLFluiD platform. The first topology is based on the geodesic polyhedron and the second on UV mapping. Focus will be placed on aspects such as mesh adaptability, resolution distribution, resulting spurious numerical fluxes and convergence performance. For this purpose, firstly a rotating dipole case is investigated, followed by two simulations using real magnetograms from the solar minima (1995) and solar maxima (1999). It is concluded that the most appropriate mesh topology for the simulation depends on several factors, such as the accuracy requirements, the presence of features near the polar regions and/or strong features in the flow field in general. If convergence is of concern and the simulation contains strong dynamics, then grids which are based on the geodesic polyhedron are recommended compared to more conventionally used UV-mapped meshes.

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