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变得无处不在的时代，流动的流体和可变形的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，具有重要的工程和技术应用。数学挑战的例子是混乱的、高维的湍流建模，它继续违背从基本原理到许多独特而复杂的极限环振荡的基本预测，这些极限环振荡是由于流固相互作用而产生的动态稳定性。令人感兴趣的物理现象范围很广，从动脉中的血液流动，到可能导致临床危险和潜在致命振荡的振荡舌头上的气流，到流过灵活的大跨度桥梁和高楼，到从微型飞行器到现代客机的各种尺度上的飞行器上方和周围流动，到流体结构系统，其极限循环可能是能量收集的来源。已提出的更好地理解和利用这些现象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。在继续寻求和发现分析解决方案的同时，耗费最强大计算机资源的计算模型也发挥了重要作用，基于对相关连续介质模型的基本原理的合理分析和理解的比例模型实验也发挥了重要作用。事实上，正是通过利用每种方法、理论建模、计算建模和实验规模模型的互补优势，才能获得最深刻和最丰富的见解。这里提出了这样一种协作方法。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教授将领导实验规模模型工作。总而言之，这将是一支强大的、经验丰富的团队。预计每个研究人员和他们的研究团队成员都将从流体-结构相互作用的多学科动力学中学到更多，也相互学习！有许多物理现象可能会被选为我们研究计划的重点。根据我们的经验，并在与校长协商后，本研究项目选择了两种：流动流体中的大跨度翼状结构，在新颖的飞行器设计中发现的大跨度翼状结构，以及大跨度桥梁和飘扬的旗帜？它们是作为人类舌头的模型进行研究的，也被提出作为从自然风中获取能量的装置。更广泛的影响：这项建议汇集了来自三大研究机构的高级研究人员，涵盖了从现代数学到基于严格基础的计算模型再到多学科实验的广泛智力经验，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在这个丰富的环境中参与和学习的机会。

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.