Statistical Stability in Fluid Shear Flows

流体剪切流的统计稳定性

• 批准号: 2089776
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2089776
• 关键词: Statistical; Stability; Fluid; Shear; Flows

Understanding which flow solutions a fluid adopts in particular conditions (e.g. boundary conditions and imposed forcing) is a fundamental challenge in fluid mechanics.While stability theory based on the Navier-Stokes equations has got us so far, it has not helped with understanding the properties of more temporally-complicated states. For example, turbulence can be made to relaminarise under certain conditions and coherent flow motions can emerge from the apparent incoherence of turbulence. This project will explore the new concept of statistical stability which is based upon equations which evolve the statistical properties of the flow instead. The hope is this should provide a new way to understand the dynamics of turbulence.

理解流体在特定条件下（例如边界条件和强迫条件）采用何种流动解是流体力学的一个基本挑战。虽然基于Navier-Stokes方程的稳定性理论迄今为止已经帮助我们理解了更多时间复杂状态的性质。例如，在某些条件下，湍流可以被重新层化，而相干的流动运动可以从湍流的明显不相干中出现。这个项目将探索统计稳定性的新概念，它是基于方程的统计特性的流动，而不是演变。希望这能为理解湍流动力学提供一种新的方法。

项目成果

Statistical Stability and Fast Transient Growth in Wall-Bounded Turbulence

壁界湍流的统计稳定性和快速瞬态增长

• DOI: 10.17863/cam.89638
• 发表时间: 2022
• 作者: Markeviciute V

Degeneracy of turbulent states in two-dimensional channel flow

• DOI: 10.1017/jfm.2021.336
• 发表时间: 2021-05
• 期刊: Journal of Fluid Mechanics
• 影响因子: 3.7
• 作者: Vilda K. Markeviciute;R. Kerswell