Optimal Model Reduction for Aerodynamics Boundary Feedback Control

这一建议的研究目标是发展气动流动的模型降阶和反馈控制方法，特别是湍流的表面控制方法。这项研究将产生足够普遍的主动流动控制方法，以应用于非线性偏微模型，例如控制湍流的Navier-Stokes方程。研究计划的进展是从开发二维Burgers？控制非线性对流流动的方程，到由Navier-Stokes方程控制的非定常流动。将开发一种系统的方法，允许表面激励和传感，例如在飞机机翼上方的气流控制中，以自然的方式出现在简化的模型中。交付内容包括建模、分析和设计方法，通过模拟和/或实验测量对方法进行演示，以及研究结果和工程专业学生教育的文档。这项研究的结果将提供一个机会，将反馈控制与主动流动控制相结合，应用于减阻、降噪、增强升力，并最终能够通过分离控制或虚拟气动整形来使用流动控制设备来取代传统的飞机操纵面。减阻将提高空中和地面车辆的燃油效率，从而增加航程、游荡时间和有效载荷。研究计划与教育计划相辅相成，特别强调培养多样化的本科生和研究生人口，并纳入代表性不足的少数群体。该计划包括改进基础课程和创建本科顶石设计项目。教学技术侧重于通过整合教学和研究活动，利用由研究生和本科生组成的学生和导师团队，以及强调以项目为导向的集成系统设计和通过演示和出版物传播结果，来增加学生在课堂上的参与度。

The research objective of this proposal is to develop methods of model reduction and feedback control for aerodynamic flows, and in particular surface control of turbulent flows. The research will result in active flow control methods that are general enough to apply to nonlinear partial differential models, such as the Navier-Stokes equations that govern turbulence. The research plan progresses from the development of reduced order models for the two-dimensional Burgers? equation that govern a nonlinear convective flow, to unsteady flows governed by the Navier-Stokes equation. A systematic approach that allows surface actuation and sensing, such as in control of the air flow over an airplane wing, to appear in a natural way in the reduced models will be developed. Deliverables include methods for modeling, analysis, and design, demonstration of the methods via simulation and/or experimental measurements, and documentation of research results and engineering student education. The results of this research will provide an opportunity to integrate feedback control with active flow control with applications to drag and noise reduction, lift enhancement, and ultimately the ability to use flow control devices in place of traditional aircraft control surfaces through separation control or virtual aerodynamic shaping. Drag reduction will result in improved fuel efficiency of air and ground vehicles, and therefore increased range, loiter time, and payload. The research plan is complemented by an educational plan, with particular emphasis upon the cultivation of a diverse undergraduate and graduate population and inclusion of under-represented minorities. The plan includes improvements in essential courses and creation of undergraduate capstone design projects. Teaching techniques focus on increasing student involvement in the classroom by integrating teaching and research activities, utilizing student and mentor teams incorporating graduate and undergraduate students, and emphasizing both project-oriented integrated systems design and dissemination of results through presentations and publications.