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 无振荡、无自由参数格式在数值模拟盔型磁场中太阳风流动的应用 Alternative Title APPLICATION OF NON-OSCILLATORY NON-FREE PARAMETER DIFFERENCE SCHEME ON SIMULATION OF SOLAR WIND FLOW IN A HELMET MAGNETIC STRUCTURE 叶占银; 魏奉思; 王赤; 冯学尚; 石勇; 姚九胜; 北京8701信箱 Department 空间天气学国家重点实验室 Source Publication 空间科学学报 2002 Volume 22Issue:3Pages:193-202 ISSN 0254-6124 Language 中文 Keyword 参数格式 数值模拟 盔型磁场 太阳风 磁流体力学 Abstract 提出了一种离散二维三分量理想磁流体力学守恒型方程组(MHD)的算法(NNDMHD),它有效地控制了磁场散度不为零误差对动量方程组的影响,把气体动力学中计算跨音速流动问题的有效算法--无振荡,无自由参数(NND)格式推广应用到MHD方程组中.利用该算法首先对常见一维和二维算例进行数值试验,得到比较好的结果,消除了间断处的非物理振荡.然后对太阳风在子午面轴对称盔形磁场位形中流动进行数值试验,在这个算例中,物理量沿径向变化大,NNDMHD格式仍然能够有效地控制磁场散度离散不为零误差导致的非物理流动.这个算例的计算结果表明:在网格划分比通常情况和稀4倍时,该算法仍保持很好的计算稳定性. Other Abstract An algorithm onlle NNDMHD for the two-dimensional, three-component, eight-variabl and time-dependent magnetohydrodynamic (MHD) conservative equations is proposed.It reduces Lorentz force error caused by numerical magnetic field di-vergence's non-zero error in a method of dividing magnetic field into two parts, apotential one invariant of time and a non-potential one varying with time. Then,NNDMHD could be developed from the Non-oscillatory, Non-free parameter Differ-ence scheme (NND), which is very effective in numerical simulation of gas-dynamical transonic flow. At first, numerical tests on NNDMHD are carried out on a typical one-dimen-sional R.iemann case and a two-dimensional Orszag-Tang example. The good nu-merical results agree with those of references and exhibit no non-physical oscillation near discontinuities. Then, example of solar wind flow in a helmet magnetic field structure being axisymmetric in meridian plane is taken for NNDMHD numerical test. In this example, although physical variables vary in a large scale(-10-4) in radial direction, NNDMHD can still reduce Lorentz force error caused-numerical magnetic field divergence's non-zero error. The numerical result in this example shows that: although the grid mesh is coarser four times than that of usual one,NNDMHD can still keep stable in computation for final steady state result. Indexed By CSCD Funding Project 中国科学院空间科学与应用研究中心 Citation statistics Document Type 期刊论文 Version 出版稿 Identifier http://ir.nssc.ac.cn/handle/122/1443 Collection 空间科学部 Corresponding Author 北京8701信箱 Recommended CitationGB/T 7714 叶占银,魏奉思,王赤,等. 无振荡、无自由参数格式在数值模拟盔型磁场中太阳风流动的应用[J]. 空间科学学报,2002,22(3):193-202. APA 叶占银.,魏奉思.,王赤.,冯学尚.,石勇.,...&北京8701信箱.(2002).无振荡、无自由参数格式在数值模拟盔型磁场中太阳风流动的应用.空间科学学报,22(3),193-202. MLA 叶占银,et al."无振荡、无自由参数格式在数值模拟盔型磁场中太阳风流动的应用".空间科学学报 22.3(2002):193-202.