Collaborative Research: Mathematical, Computational and Experimental Modeling of the Multidisciplinary Dynamics of Fluid-Structure Interaction

客观和智力优势：在一个多学科相互作用在科学和工程中无处不在的时代，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，在工程和技术中具有重要应用。数学挑战的例子包括混沌的、高维的湍流模型，它继续违背从第一原理的基本原理预测，以及由于流固相互作用而产生的动态稳定性所产生的许多独特而复杂的极限环振荡。感兴趣的物理现象包括动脉中的血液流动，振荡舌头上的气流可能导致临床危险和潜在致命的振荡，流动在灵活的大跨度桥梁和高层建筑上，流动在飞行器上和周围，从微型飞行器到现代客机，到流体结构系统，其极限循环可能是能量收集的来源。为了更好地理解和利用这些现象，已经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体模型。在继续寻求和发现分析解决方案的同时，需要最强大的计算机资源的计算模型也发挥着重要作用，基于对相关连续体模型的基本分析和第一原理的理解的比例模型实验也发挥着重要作用。事实上，正是通过利用每种方法的互补优势，理论建模，计算建模和实验尺度模型，才能获得最深刻和最丰富的见解。本文提出了这样一种协作方式。Balakrishnan教授将领导理论建模工作，Hodges教授将主要负责计算模型，Dowell教授将领导实验比例模型的工作。这将是一个强大而经验丰富的团队，期望每个研究者和他们的研究团队成员将学到很多关于流固相互作用的多学科动力学，也从彼此身上学到很多！有许多物理现象可以选择作为我们研究项目的重点。根据我们的经验，经过与负责人的协商，我们选择了两种用于本研究项目，即在新型飞行器设计中发现的流动流体中的大跨度翼状结构和大跨度桥梁和扑翼旗帜。这是研究人类舌头的模型，也被提议作为自然风的能量收集装置。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，涵盖了从现代数学到严格基于计算模型的多学科实验的广泛知识经验，以解决流固相互作用现象。这项研究也将为研究生和博士后访客提供一个参与和学习的机会。

Objective and Intellectual Merits: In an age where multidisciplinary interactions have become ubiquitous in science and engineering, 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. Examples of mathematical challenges are the chaotic, high dimensional modeling of turbulence that continues to defy rationale predictions from first principles to the many distinct and complex limit cycle oscillations that emerge from dynamic stabilities that arise due to fluid-structure interaction. 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.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.Such a collaborative approach is proposed here. Professor Balakrishnan will lead the theoretical modeling effort, Professor Hodges will be primarily responsible for the computational models and Professor Dowell will be the lead for the experimental scale model effort. Taken together this will be a powerful and highly experienced team It is expected that each investigator and the members of their research teams will learn much about the multidisciplinary dynamics of fluid-structure interaction, and also from each other!There are many physical phenomena that might be chosen to focus our research program. Based upon our experience and after consultation among the principals, two have been chosen for this research project, i.e. long span wing-like structures in a flowing fluid which are found in novel flight vehicle designs and long span bridges and flapping ?flags? which are studies as models of the human tongue and also have been proposed as energy harvesting devices from the natural wind.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.