一类TVD型组合差分方法及其在磁流体数值计算中的应用
文献类型：期刊论文
| 作者 | 冯学尚 ; S.T.Wu ; 范全林 ; 魏奉思 ; 姚久胜 |
| 刊名 | 空间科学学报
 |
| 出版日期 | 2002 |
| 卷号 | 22期号:4页码:300-308 |
| 关键词 | 计算 TVD型组合差分格式 磁流体 数值模拟 太阳风 |
| ISSN号 | 0254-6124 |
| 其他题名 | A CLASS OF TVD TYPE COMBINED NUMERICAL SCHEME FOR MHD EQUATIONS AND ITS APPLICATION TO MHD NUMERICAL SIMULATION |
| 通讯作者 | 北京8701信箱 |
| 中文摘要 | 根据太阳风数值模拟的特点,考虑到算法的质量(收敛速度、稳定性、精度等),结合磁流体数值计算的特性,对三维球坐标磁流体动力学(MHD)方程组中的流体部分采用一种修正Lax-Friedrichs差分法而对磁场部分采用MacComack格式,发展了一类快捷的具有TVD特性的组合数值新方法,作为格式的检验,在一维情况下,将其与PPM格式进行了比较,对一维快慢磁流体激波问题得到了与PPM格式精度相同的结果,然后将其诮到定态太阳风的数值模拟上,在不同等离子体β情形下,可得到理想的太阳风定态结构,为今后将此数值模式应用到具有复杂磁场位型或三维直实太阳风暴的数值模拟研究奠定了基础. |
| 英文摘要 | In the past three decades, solar-terrestrial rhysicists i:avrwluced many kinds of numerical schemes in computatio.mechwnic,, to agnc tohydrody-namic system in order to simulate }a:ioas enonu}na o+'oiar-terrestrial physics.Along with the recent d}rnce of spa.ca wEather, great attention has been paid to the development of qt;ick }cuverp}ei.e anu high resolution numerical schemes of MHD sitem. for t oe purpose of solar wind storm simulation or establishing numerical eacion r.ethods of space weather.The numerical study of solar wind has under-gone a transit from its early simulation problems in supersonic and superAlfvenic domain to the recent works from solar surface, interplanetary space to the interac-tion between solar wind and the earth's magnetosphere.In this paper,according to the characteristics of numerically modeling solar wind,a new numerical scheme of TVD type for magnetohydrodynamic equations in spherical coordinates is pro-posed by taking into account of the quality such as convergence, stability, resolution.This new MHD model is established by solving the fluid equations of MHD system with a modified Lax-Friedrichs scheme and the magnetic induction equations with MacCormack II scheme for the purpose of developing a combined scheme of quick convergence as well as of TVD property. To verify the validation of the scheme,the propagation of one-dimensional MHD fast and slow shock problem is discussed with the numerical results conforming to the existing results obtained by the piece-wise parabolic method. Under typical physical parameters on the solar surface,using a dipole as initiation, the steady state numerical results for the solar wind flow isreached by time-relaxation approach.This shows that this numerical model has potential application in modeling solar wind of complex magnetic field and realistic solar-interplanetary storms. |
| 学科主题 | 空间物理 |
| 收录类别 | CSCD |
| 资助信息 | 国家杰出青年基金, 国家自然科学基金95重大项目, 国家973项目资助 |
| 语种 | 中文 |
| 版本 | 出版稿 |
| 源URL | [http://ir.cssar.ac.cn/handle/122/1452]  |
| 专题 | 国家空间科学中心_空间科学部 |
| 推荐引用方式 GB/T 7714 | 冯学尚,S.T.Wu,范全林,等. 一类TVD型组合差分方法及其在磁流体数值计算中的应用[J]. 空间科学学报,2002,22(4):300-308. |
| APA | 冯学尚,S.T.Wu,范全林,魏奉思,&姚久胜.(2002).一类TVD型组合差分方法及其在磁流体数值计算中的应用.空间科学学报,22(4),300-308. |
| MLA | 冯学尚,et al."一类TVD型组合差分方法及其在磁流体数值计算中的应用".空间科学学报 22.4(2002):300-308. |
入库方式： OAI收割
来源：国家空间科学中心
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