arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1803.04891astro-ph.SR
收藏

MHDSTS:一种新的模拟部分电离太阳等离子体的显式数值格式

MHDSTS: a new explicit numerical scheme for simulations of partially ionised solar plasma

P. A. González-Morales, E. Khomenko, T. P. Downes, A. de Vicente

摘要:

在部分电离的太阳大气中等离子体与磁场的相互作用经常通过单流体近似来模拟,这对于强耦合碰撞介质的情况是有效的,例如太阳光球层和低色球层。根据单流体形式主义的主要非理想效应描述的一系列额外的条款,在广义感应方程和能量守恒方程。这些效应是:欧姆扩散、双极扩散、霍尔效应和比尔曼电池效应。从单流体方程的数值解的角度来看,当双极扩散或霍尔效应占主导地位时,可能会对积分时间步长产生严格的限制,并可能损害数值方案的稳定性。在本文中,我们介绍了两个数值方案,以克服这些限制。其中第一个被称为超级时间步进(STS),它的目的是克服双极扩散项占主导地位时所施加的限制。第二种方案被称为霍尔扩散方案(HDS),当霍尔项占主导地位时使用。这两种数值技术可以一起使用,通过应用斯特朗算子分裂。本文介绍了STS和HDS计划在单流体程序Mancha3D中的实现。这些方案的验证提供了一套数值试验的数值分析的解决方案与比较。

英文摘要:

The interaction of plasma with magnetic field in the partially ionised solar atmosphere is frequently modelled via a single-fluid approximation, which is valid for the case of a strongly coupled collisional media, such as solar photosphere and low chromosphere. Under the single-fluid formalism the main non-ideal effects are described by a series of extra terms in the generalised induction equation and in the energy conservation equation. These effects are: Ohmic diffusion, ambipolar diffusion, the Hall effect, and the Biermann battery effect. From the point of view of the numerical solution of the single-fluid equations, when ambipolar diffusion or Hall effects dominate can introduce severe restrictions on the integration time step and can compromise the stability of the numerical scheme. In this paper we introduce two numerical schemes to overcome those limitations. The first of them is known as Super Time-Stepping (STS) and it is designed to overcome the limitations imposed when the ambipolar diffusion term is dominant. The second scheme is called the Hall Diffusion Scheme (HDS) and it is used when the Hall term becomes dominant. These two numerical techniques can be used together by applying Strang operator splitting. This paper describes the implementation of the STS and HDS schemes in the single-fluid code Mancha3D. The validation for each of these schemes is provided by comparing the analytical solution with the numerical one for a suite of numerical tests.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑