EAGER: Development and Application of Liutex and Third Generation of Vortex Definition and Identification

EAGER：Liutex和第三代涡定义与识别的开发与应用

• 批准号: 2300052
• 负责人: Chaoqun Liu
• 金额: $ 24.32万
• 依托单位: University of Texas at Arlington
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-01-01 至 2024-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2300052&HistoricalAwards=false
• 关键词: EAGER; Development; Application; Liutex; Third

Vortex is intuitively recognized as a rotational/swirling motion of fluids. Vortex is omnipresent in the universe and affects human life and the environment. Humanity is faced with existential and catastrophic threats which are largely caused by vortex in many cases, such as human-induced climate change leads to extreme weather, unprecedented hurricanes, and life-threatening tornados. In addition, pandemic and pollution-induced respiratory and heart diseases are rampant. In many of these catastrophic events, the vortex plays a key role. In addition, vortex controls the dynamics of turbulence and noise generation. However, vortex had no rigorous definition, existing vortex identification methods are not accurate and appropriate, and the demonstrated vortex structure of turbulence is not unique. The goal of this project is to develop a comprehensive Liutex and third generation of vortex definition and identification. The rigorous mathematical definition of local fluid rotation and global vortex will be further modified to be unique, accurate and appliable to vortex science and turbulence research. A high-order vortex identification software – LiutexUTA, Modified Liutex-OmegaUTA, Liutex-Core-LineUTA methods – will be developed and distributed to the turbulence research community. The 3-D Liutex generation mechanism will be revealed, which is a key issue of the hairpin vortex formation. The new Liutex-based Fluid Kinematics will be developed to guide fluid dynamics in education and research. The new Liutex/Vortex dynamics will be investigated, and the new fluid dynamics governing equations will be revisited and new ideas will be presented based on the research progress.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

涡流被直观地认为是流体的旋转/漩涡运动。漩涡在宇宙中无处不在，影响着人类的生活和环境。人类面临着生存和灾难性的威胁，在许多情况下，这些威胁主要是由涡旋引起的，例如人为引起的气候变化导致极端天气，前所未有的飓风和危及生命的龙卷风。 此外，大流行病和污染引起的呼吸道和心脏病猖獗。 在许多这样的灾难性事件中，漩涡起着关键作用。 此外，涡流控制湍流和噪声产生的动力学。 然而，涡没有严格的定义，现有的涡识别方法不够准确和恰当，所显示的湍流涡结构也不唯一。该项目的目标是开发全面的Liutex和第三代涡流定义和识别。局部流体旋转和整体涡的严格数学定义将进一步修正，使其具有唯一性、准确性和适用性，从而适用于涡科学和湍流研究。将开发一个高阶涡流识别软件-- LiutexUTA、Modified Liutex-OmegaUTA、Liutex-Core-LineUTA方法，并分发给湍流研究界。揭示了三维流体的生成机制，这是发夹涡形成的关键问题。新的基于Liutex的流体动力学将被开发用于指导教育和研究中的流体动力学。该奖项反映了NSF的法定使命，通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。