Research and Education in Multi-Scale Fluid Dynamics

多尺度流体动力学研究与教育

• 批准号: 0308687
• 负责人: Richard McLaughlin
• 金额: --
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-08-15 至 2008-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0308687&HistoricalAwards=false
• 关键词: Research; Education; Multi; Scale; Fluid

This project concerns theoretical modeling of transport in fluid systems. The award supports both improved scientific understanding of fluid behavior and research experiences for undergraduate and graduate students of the natural sciences. The research is focused on averaging of gravity currents in groundwater flow; analytical, asymptotic, and computational calculation of effective mixing coefficients in turbulent mixing; and experimental and theoretical study of stratified fluid systems. Students participate in the research on stratified fluid dynamics through an experimental fluid dynamics laboratory.The natural environment is influenced by a complex system of coupled fluids whose dynamics occur on a wide range of space and time scales. Understanding the dynamics of this system, from the smallest scale turbulent mixing in the ocean to the largest scale atmospheric weather systems, is a central goal of the geosciences. The complete description of such a system remains beyond the computational scope of even the largest supercomputers, and a fundamental scientific endeavor is to characterize and understand phenomena on different scales, ultimately to understand how a large scale system functions as a whole. This award supports mathematical investigation of fluid systems for which interplay between scales may be mathematically explained. Insight gained from the project will have application to understanding multiple-scale fluid behavior in the environment.

该项目涉及流体系统中传输的理论建模。 该奖项支持提高对流体行为的科学理解以及自然科学本科生和研究生的研究经验。 该研究的重点是地下水流中重力流的平均；湍流混合中有效混合系数的解析、渐近和计算计算；以及分层流体系统的实验和理论研究。 学生通过流体动力学实验实验室参与分层流体动力学的研究。自然环境受到耦合流体的复杂系统的影响，其动力学发生在广泛的空间和时间尺度上。 了解该系统的动力学，从海洋中最小规模的湍流混合到最大规模的大气天气系统，是地球科学的中心目标。 即使是最大的超级计算机，对这种系统的完整描述仍然超出了计算范围，而基本的科学努力是表征和理解不同尺度的现象，最终了解大规模系统作为一个整体是如何运作的。 该奖项支持流体系统的数学研究，可以用数学方法解释尺度之间的相互作用。 从该项目中获得的见解将应用于理解环境中的多尺度流体行为。