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Control of Fluid-Structure Interactions: Finite Dimensional Strategies for Flutter/Turbulence Suppression

流固耦合控制：颤振/湍流抑制的有限维策略

基本信息

批准号：
2205508
负责人：
Irena Lasiecka
金额：
$ 34万
依托单位：
University of Memphis
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2022
资助国家：
美国
起止时间：
2022-08-01 至 2025-07-31
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2205508&HistoricalAwards=false
关键词：
Control Fluid Structure Interactions Finite

项目摘要

The goal of this mathematical research project is to identify and construct physically implementable control strategies for suppression of turbulence, which is fluid motion characterized by chaotic changes in pressure and flow velocity, and control of flutter, which is sustained oscillation that may occur when a nonlinear body is subject to surrounding inviscid flow. The results are anticipated to inform several important application areas, including aerodynamic design and renewable energy systems in which harvesting flutter is a goal. The project involves collaboration with engineers and will train graduate students through research involvement in modeling, data assimilation, and scientific computing.The project studies questions in control theory and corresponding control strategies with focus on physical phenomena governed by three-dimensional (3D) fluids, flow/fluid-structure interactions which induce strong instabilities in their dynamics. The main goal is to establish flutter-suppression and turbulence-suppression by means of finite dimensional control strategies. The objectives of the project are: (i) finite dimensional attracting sets to capture flutter of the oscillating structure, (ii) finite dimensional boundary feedback stabilization of 3D fluids, and (iii) control theory for 3D fluid-structures with moving interface. The investigation of flutter will require the theory of non-dissipative dynamical systems and their attractors, along with microlocal analysis. In this project, investigation of turbulence in 3D will require Besov spaces of tight indices and maximal regularity (R-boundedness theory) of boundary-feedback partial differential equations. Quasilinear theory and sharp estimates for the hyperbolic Dirichlet-Neumann map will be essential tools in controlling bodies moving in a fluid, where global existence is still an open problem.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.

这个数学研究项目的目标是识别和构建物理上可实现的控制策略，用于抑制湍流，这是以压力和流速的混沌变化为特征的流体运动，以及控制颤振，这是当非线性体受到周围无粘流时可能发生的持续振荡。预计这些结果将为几个重要的应用领域提供信息，包括空气动力学设计和可再生能源系统，其中收集颤振是一个目标。本项目将与工程师合作，通过建模、数据同化、科学计算等方面的研究，培养研究生。本项目将研究控制理论和相应的控制策略问题，重点关注由三维（3D）流体控制的物理现象，以及在其动力学中引起强烈不稳定性的流动/流体-结构相互作用。其主要目标是通过有限维控制策略建立颤振抑制和颤振抑制。该项目的目标是：（i）有限维吸引集捕捉颤振的振荡结构，（ii）有限维边界反馈稳定的三维流体，和（iii）控制理论的三维流体结构与移动界面。颤振的研究需要非耗散动力系统理论及其吸引子，沿着微局部分析。在这个项目中，在三维湍流的研究将需要紧指标和边界反馈偏微分方程的最大正则性（R-有界理论）的Besov空间。准线性理论和双曲狄利克雷-诺伊曼映射的精确估计将成为控制流体中运动物体的重要工具，其中全球存在仍然是一个悬而未决的问题。该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。