Collaborative Research: Theory and Numerical Simulations of Intermittent Turbulence in Geospace

合作研究：地球空间间歇湍流的理论和数值模拟

• 批准号: 0637429
• 负责人: Cheng-Chin Wu
• 金额: $ 6.1万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-01-01 至 2009-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0637429&HistoricalAwards=false
• 关键词: Collaborative; Research; Theory; Numerical; Simulations

This project will quantitatively address the phenomenon of intermittent turbulence in geospace, with particular emphasis placed on the multifractal nature of the plasma fluctuations observed in the magnetotail and plasma sheet. Detailed spectra and other stochastic properties will be deduced and evaluated from first principles both theoretically and numerically. These results will be compared with actual in-situ experimental observations using modern statistical methods. The sporadic and localized interactions of magnetic coherent structures arising from the plasma resonances can be the source for the observed intermittent turbulence in geospace. Power spectra and local intermittency measures using wavelet analyses will be calculated to display the spottiness of the small-scale turbulent fluctuations and the non-uniformity of coarse-grained dissipation that can lead to magnetic topological reconfigurations. The technique of the dynamic renormalization group will be applied to the study of the scaling properties of the multifractal fluctuations. The structure functions and singular spectra will being quantitatively evaluated in detail and compared with the results obtained from actual experimental observations.

该项目将从数量上研究地球空间间歇性湍流现象，特别强调在磁尾和等离子体片中观察到的等离子体波动的多重分形性质。详细的光谱和其他随机属性将推导和评估从第一原理理论和数值。这些结果将与使用现代统计方法的实际现场实验观测进行比较。由等离子体共振引起的磁相干结构的零星和局部相互作用可以是地球空间中观测到的间歇性湍流的来源。使用小波分析的功率谱和局部不稳定性测量将被计算以显示小尺度湍流波动的斑点和粗粒度耗散的不均匀性，这可能导致磁拓扑重构。动力学重正化群技术将被应用于多重分形涨落标度性质的研究。对结构函数和奇异谱进行了详细的定量计算，并与实际实验观测结果进行了比较。