Extraction of the Essential Dynamics of Turbulent Flows and its Use for Predictive Purposes

湍流基本动力学的提取及其用于预测目的

• 批准号: 8817924
• 负责人: Katepalli Sreenivasan
• 金额: $ 3万
• 依托单位: Yale University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-09-01 至 1990-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8817924&HistoricalAwards=false
• 关键词: Extraction; Essential; Dynamics; Turbulent; Flows

This research is based on mathematical analogy between vortex stretching and the geometric properties of distorted volume elements in phase space. The latter can be described by strange attractors and their exponential growth rates. These are known to involve fractals. The research is to establish whether this analogy can be used to show fractal descriptions of turbulent vorticity dynamics. The investigator was able previously to establish a connection between fractals and turbulent energy. The vorticity case is much more relevant to the physical mechanisms of turbulence, thus a much more concise and compact description for turbulence dynamics than presently available may result.

本研究是基于数学类比涡 变形体元的拉伸和几何性质 相空间。 后者可以用奇异吸引子来描述 以及它们的指数增长率。 众所周知， 分形 这项研究是为了确定这种类比是否可以 用于表示湍流涡度动力学的分形描述。 调查员之前就能确定 分形和湍流能量之间的联系 涡度的情况下， 与湍流的物理机制更相关，因此， 更简洁紧凑的湍流动力学描述， 目前可用的可能会导致。