Spectral Element Method for the Study of Current Sheets in Astronomical Magnetic Fields

研究天文磁场电流片的谱元法

• 批准号: 0434322
• 负责人: Chung-Sang Ng
• 金额: $ 44.98万
• 依托单位: University of New Hampshire
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-10-01 至 2008-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0434322&HistoricalAwards=false
• 关键词: Spectral; Element; Method; Study; Current

AST-0434322NgThis research will develop a spectral element magnetohydrodynamics (MHD) simulation code, incorporating Adaptive Mesh Refinement (AMR) techniques, to investigate the formation and geometry of current sheets in astronomical magnetic fields. This development builds on recent accomplishments of the participants in fluid simulations, analytical and numerical results on current sheets, and algorithms for magnetic reconnection. The project will make significant advances in applied mathematics for the spectral element method, and provide a rigorous and conclusive answer to the important question of whether current sheets form in the Parker model. These algorithms to help better resolve singularities in fluid systems will also be useful in other areas.The work integrates research and education at all levels, including a summer institute for local high school students, interdisciplinary training of graduate students, and mentorship of a junior research scientist, and will promote wide-ranging inter-disciplinary interactions between applied mathematicians, computer scientists, and plasma astrophysicists.

AST-0434322Ng 这项研究将开发一种谱元磁流体动力学 (MHD) 模拟代码，结合自适应网格细化 (AMR) 技术，以研究天文磁场中电流片的形成和几何形状。 这一进展建立在参与者最近在流体模拟、当前板材的分析和数值结果以及磁重联算法方面取得的成就的基础上。 该项目将在谱元法的应用数学方面取得重大进展，并对帕克模型中电流片是否形成这一重要问题提供严格而结论性的答案。 这些有助于更好地解决流体系统奇点的算法也将在其他领域发挥作用。这项工作整合了各个层面的研究和教育，包括为当地高中生举办的暑期学院、研究生的跨学科培训以及初级研究科学家的指导，并将促进应用数学家、计算机科学家和等离子体天体物理学家之间广泛的跨学科互动。