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An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations
Wang, Yuan1,2; Feng, Xueshang1; Xiang, Changqing1
Department空间科学部
Source PublicationComputers and Fluids
2019
Volume179Pages:67-77
DOI10.1016/j.compfluid.2018.10.014
ISSN0045-7930
Language英语
AbstractThe magnetohydrodynamics (MHD) modeling of the steady solar wind is an essential and important ingredient in numerical space weather study. Numerically solving the MHD equation system is not an easy work due to its complexity by combining the Euler equations of gas dynamics with the Maxwells equations of electromagnetics and the solenoidal constraint. Moreover, the vast physical temporal and spatial scales of the solar wind simulation propose harsh requirements for computational efficiency and memory storage. Considering these factors, we develop an easily implemented finite volume (FV) scheme using the GMRES algorithm with an LU-SGS preconditioner for the three-dimensional (3D) MHD-based simulation. The steady-state solar wind from 1 Rs to 20 Rs during Carrington rotation (CR) 2051 is simulated for the validation of the proposed matrix-free implicit solver. Compared with the explicit solver, the implicit one can effectively enlarge the CFL number to 100 and achieve speedup ratios of 31.27 × and 28.05 × which reduces the computational time for the steady-state study from several days to only a few hours. The simulation captures main features of the solar corona and the mapped in-situ solar wind measurements. The scheme proposed here provides a promising choice to conduct the 3D MHD simulation of the solar wind background from the Sun to the Earth beyond. © 2018
Indexed ByEI
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Document Type期刊论文
Identifierhttp://ir.nssc.ac.cn/handle/122/6555
Collection空间科学部
Affiliation1.SIGMA Weather Group, State Key Laboratory for Space Weather, National Space Science Center, Chinese Academy of Sciences, Beijing;100190, China;
2.College of Earth Sciences, University of Chinese Academy of Sciences, Beijing;100049, China
Recommended Citation
GB/T 7714
Wang, Yuan,Feng, Xueshang,Xiang, Changqing. An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations[J]. Computers and Fluids,2019,179:67-77.
APA Wang, Yuan,Feng, Xueshang,&Xiang, Changqing.(2019).An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations.Computers and Fluids,179,67-77.
MLA Wang, Yuan,et al."An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations".Computers and Fluids 179(2019):67-77.
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