A Unified and Very Fast Way for Computing the Global Potential and Linear Force-Free Fields | |
Jiang, Chaowei; Feng, Xueshang; Jiang, CW (reprint author), Chinese Acad Sci, SIGMA Weather Grp, State Key Lab Space Weather, Ctr Space Sci & Appl Res, Beijing 100190, Peoples R China. | |
Department | 空间科学部 |
Source Publication | SOLAR PHYSICS
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2012 | |
Volume | 281Issue:2Pages:621-637 |
ISSN | 0038-0938 |
Language | 英语 |
Keyword | Fast Solver Linear Force-free Fields Potential Fields Solar Corona |
Abstract | We present a fast solver for computing potential and linear force-free fields (LFFF) above the full solar disk with a synoptic magnetic map as input. The global potential field and the LFFF are dealt with in a unified way by solving a three-dimensional Helmholtz equation in a spherical shell and a two-dimensional Poisson equation on the solar surface. The solver is based on a combination of the spectral method and the finite-difference scheme. In the longitudinal direction the equation is transformed into the Fourier spectral space, and the resulting two-dimensional equations in the r-theta plane for the Fourier coefficients are solved by finite differencing. The solver shows an extremely fast computing speed, e.g., the computation for a magnetogram with a resolution of 180(theta)x360(I center dot) is completed in less than 2 s. Even on a high-resolution 600x1200 grid, the solution can be obtained within only about one minute on a single CPU. The solver can potentially be applied directly to the original resolution of observed magnetograms from SDO/HMI for routinely analyzing daily full-disk data.; We present a fast solver for computing potential and linear force-free fields (LFFF) above the full solar disk with a synoptic magnetic map as input. The global potential field and the LFFF are dealt with in a unified way by solving a three-dimensional Helmholtz equation in a spherical shell and a two-dimensional Poisson equation on the solar surface. The solver is based on a combination of the spectral method and the finite-difference scheme. In the longitudinal direction the equation is transformed into the Fourier spectral space, and the resulting two-dimensional equations in the r-theta plane for the Fourier coefficients are solved by finite differencing. The solver shows an extremely fast computing speed, e.g., the computation for a magnetogram with a resolution of 180(theta)x360(I center dot) is completed in less than 2 s. Even on a high-resolution 600x1200 grid, the solution can be obtained within only about one minute on a single CPU. The solver can potentially be applied directly to the original resolution of observed magnetograms from SDO/HMI for routinely analyzing daily full-disk data. |
Indexed By | SCI |
Funding Project | 中国科学院空间科学与应用研究中心 |
Document Type | 期刊论文 |
Identifier | http://ir.nssc.ac.cn/handle/122/3249 |
Collection | 空间科学部 |
Corresponding Author | Jiang, CW (reprint author), Chinese Acad Sci, SIGMA Weather Grp, State Key Lab Space Weather, Ctr Space Sci & Appl Res, Beijing 100190, Peoples R China. |
Recommended Citation GB/T 7714 | Jiang, Chaowei,Feng, Xueshang,Jiang, CW . A Unified and Very Fast Way for Computing the Global Potential and Linear Force-Free Fields[J]. SOLAR PHYSICS,2012,281(2):621-637. |
APA | Jiang, Chaowei,Feng, Xueshang,&Jiang, CW .(2012).A Unified and Very Fast Way for Computing the Global Potential and Linear Force-Free Fields.SOLAR PHYSICS,281(2),621-637. |
MLA | Jiang, Chaowei,et al."A Unified and Very Fast Way for Computing the Global Potential and Linear Force-Free Fields".SOLAR PHYSICS 281.2(2012):621-637. |
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