CAREER: Modeling and Control of Solid-Fluid Interactions in Aquatic Locomotion

我们的教师早期职业发展（CAREER）研究计划的重点是理论和计算基础设施的发展，用于模拟鱼类运动中复杂的固体-流体相互作用。鱼类和鲸类动物在水中通过有节奏的形状变化产生不稳定的流动（通常是经过身体的涡流），从而具有很大的灵活性和效率。人们普遍认为，但没有完全理解，鱼类利用流动的不稳定性，从而实现令人印象深刻的水动力效率。本研究计划将研究动物形态变化与周围环境之间的动态耦合。我们的方法是联合收割机的经典流体动力学理论与几何力学，动力系统，控制理论和计算的想法，建立简化模型的固体-流体运动，使运动的基本原理更加透明。这些简化的模型将用于分析个体和鱼群与涡量相互作用的运动稳定性-从而解释涡量在水中运动和鱼群聚集中的作用。这些模型也将被用来设计控制和运动规划的策略，更具体地说，调查所需的运动的最佳形状变形。除了我们对水生运动中固体-流体相互作用的建模和控制的直接贡献外，我们的努力还将为一些重要问题提供有价值的见解，例如昆虫和鸟类运动，并将实现新的工程应用，例如设计生物启发的车辆，通过起伏形状来推动自己。我们的教育工作将侧重于创造一个综合的教育和研究环境，并建立工程和数学之间的桥梁。事实上，本科生和研究生（包括妇女和少数民族）的参与和我们的研究成果在期刊，会议，以及在课堂上的传播将是这项研究工作的一个组成部分。

Our Faculty Early Career Development (CAREER) research program focuses on the development of theoretical and computational infrastructures for modeling complex solid-fluid interactions in fishlike locomotion. Fish and cetaceans move in water with great agility and efficiency through rhythmic shape changes which generate unsteady flow around the animal's body (typically vortical flow past the body). It is widely believed, but not fully understood, that fish exploit the unsteadiness in the flow to their advantage hence achieving impressive hydrodynamic efficiencies. This research program will study the dynamic coupling between the animal shape changes and the surrounding . Our approach is to combine the classical theory of fluid dynamics with ideas from geometric mechanics, dynamical systems, control theory and computation to build reduced models of the solid-fluid motion that make the underlying principles of locomotion more transparent. These reduced models will be used to analyze the stability of motion of both individual and schools of fish interacting with vorticity - thus explaining the role of vorticity in aquatic locomotion and fish schooling. These models will also be used to devise strategies for control and motion planning, more specifically, to investigate optimum shape deformations for a desired locomotion. In addition to our direct contribution to modeling and control of solid-fluid interactions in aquatic locomotion, our efforts will provide valuable insights into a number of important problems such as insect and birdlike locomotion and will enable novel engineering applications such as the design of biologically-inspired vehicles that propel themselves by undulating their shape. Our educational efforts will focus on creating an integrated education and research environment and on building a bridge between engineering and mathematics. Indeed, involvement of undergraduate and graduate students (including women and minorities) and dissemination of our research results in journals, conferences, as well as in the classroom will be an integral part of this research effort.