Collaborative Research: Power Generation from Fluid-Structure Interaction using Mathematical, Computational, and Experimental Modeling

智力优点：流动流体与可变形结构或固体的相互作用是数学挑战和基本物理现象的最丰富来源之一，在工程和技术（包括能量收集和发电）中具有重要应用。人们感兴趣的物理现象包括动脉中的血流、振动舌头上可能导致临床危险和潜在致命振荡的气流、流过柔性大跨度桥梁和高层建筑、从微型飞行器到现代客机等各种规模的飞行器上方和周围的流动，以及极限循环可能成为能量收集和发电来源的流体结构系统。正是这最后一个应用程序激发了大部分拟议工作。虽然在许多应用中人们担心极限循环振荡会损害流体/结构系统的机械完整性，但在能量收集和发电应用中，这些振荡既新颖又有益。为更好地理解和利用这些现象而提出的方法包括高度复杂的理论模型，包括流体和结构的连续介质模型。在不断寻求和发现分析解决方案的同时，消耗最强大计算机资源的计算模型也发挥着重要作用，基于合理的基础分析和对相关连续体模型第一原理的理解的比例模型实验也是如此。事实上，通过利用每种方法的理论建模、计算建模和实验规模模型的互补优势，可以获得最深刻、最丰富的见解。 更广泛的影响：该提案汇集了来自三个主要研究机构的高级研究人员，涵盖从现代数学到基于严格计算模型到多学科实验的广泛知识经验，以解决流体-结构相互作用现象。这项研究还将为研究生和博士后访问者提供在这个丰富的环境中参与和学习的机会。

Intellectual Merits: The interaction of a flowing fluid and a deformable structure or solid is one of the richest sources of mathematical challenges and fundamental physical phenomena with important applications to engineering and technology including energy harvesting and power generation. The physical phenomena of interest range from blood flows in arteries, to airflow over an oscillating tongue that can lead to clinical dangerous and potentially fatal oscillations, to flow over flexible long span bridges and tall buildings, to flow over and around flight vehicles over a wide range of scales from micro air vehicles to modern passenger airliners, to fluid-structural systems whose limit cycles may be a source of energy harvesting and power generation. It is this last application that motivates much of the proposed work. While in many applications the concern is that the limit cycle oscillations will damage the mechanical integrity of the fluid/structural system, in the energy harvesting and power generation application these oscillations will be both novel and beneficial.The methods that have been proposed to better understand and exploit these phenomena include theoretical models of high sophistication including the continuum models of the fluid and the structure. While analytical solutions continue to be sought and found, computational models that tax the resources of the most powerful computers also play an important role, as do scale model experiments based upon a sound fundamental analysis and understanding of the first principles of the relevant continuum models. Indeed, it is by exploiting the complementary strengths of each approach theoretical modeling, computational modeling, and experimental scale models that the deepest and richest insights can be obtained.Broader Impact: This proposal brings together senior investigators from three major research institutions covering a wide range of intellectual experience from modern mathematics to rigorously based computational models to multidisciplinary experiments to address fluid-structure interaction phenomena. This research will also provide an opportunity for graduate students and post-doctoral visitors to participate and learn in this rich environment.