Local Properties of Turbulent Flows

湍流的局部性质

• 批准号: 0306586
• 负责人: Igor Kukavica
• 金额: $ 12.6万
• 依托单位: University of Southern California
• 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: 2003-07-01 至 2006-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0306586&HistoricalAwards=false
• 关键词: Local; Properties; Turbulent; Flows

This project concerns local properties of solutions of the Navier-Stokes system and other equations arising in fluid dynamics. It addresses determination of solutions of partial differential equations by observables, description and interplay of different length scales arising in turbulent flows, and existence and properties of invariant manifolds. Special emphasis is given to qualitative description of solutions, such as the study of spatial and temporal complexity of solutions, degree of vanishing, and properties of fluid vortices.Questions in fluid dynamics arise in many scientific fields, including atmospheric science, oceanography, and aerodynamics. The Navier-Stokes system, one of the most widely studied systems of partial differential equations, is one of the principal models of fluid motion. This project addresses qualitative properties of solutions of the Navier-Stokes system and related models. Potential applications include better understanding of fine structures of turbulent flows (vortices and oscillations), reconstruction of dynamics from measurements, and rigorous interpretation of numerical simulations of fluid motion.

这个项目关注的是Navier-Stokes系统和其他流体动力学方程解的局部性质。 它解决了确定的解决方案的偏微分方程的观测量，描述和相互作用的不同长度尺度所产生的湍流，存在和性质不变的流形。 特别强调解决方案的定性描述，如空间和时间的复杂性的解决方案，消失的程度，和流体涡的性质的研究。在流体动力学的问题出现在许多科学领域，包括大气科学，海洋学和空气动力学。 Navier-Stokes方程组是研究最广泛的偏微分方程组之一，也是流体运动的主要模型之一。 本计画主要研究纳维尔-斯托克斯系统及相关模型解的定性性质。 潜在的应用包括更好地理解湍流的精细结构（涡流和振荡），从测量中重建动力学，以及对流体运动的数值模拟进行严格的解释。