Measurement and Analysis of Unsteady Flows Using a Lagrangian Framework

旋涡--强烈旋转的区域--通常被称为“流体运动的肌腱和肌肉”，因为它们负责质量和动量的传输。此外，涡量的产生、重定向和湮灭的研究普遍存在于自然界和工程中发现的广泛的非定常空气动力学、流体动力学和血液动力学问题中。无论是在小尺度的扑翼飞行还是在风力涡轮机叶片上的大尺度失速，了解涡量如何在物体附近产生并重新定向到尾流中对于此类系统的优化和流动控制至关重要。幸运的是，由于目前在相机，激光和处理能力的进步，新的方法，在时间分辨，体积成像目前正在推出。这些新方法被称为“摇盒”（STB）或层析粒子跟踪测速（Tomo-PTV），并计划打破实验室和现场实验中长期存在的障碍。与现有的基于欧拉的成像技术，如层析粒子图像测速（Tomo-PIV），这些新的拉格朗日方法提供了详细的拉格朗日跟踪信息（长路径线）在超高的播种密度，在任何给定的时间步长的100，000跟踪粒子的顺序。这种新方法开辟了一个全新的分析技术，从稳定和运动物体附近的压力场提取到尾流中的直接拉格朗日相干结构（LCS）识别。* 由于复杂流动的数值模拟方法的发展需要高质量的实验来验证和校准，这种新的拉格朗日实验技术有望为这些难以捉摸的问题提供急需的洞察力。这种具有挑战性的情况包括：具有大范围时间和空间尺度的高雷诺数（湍流）流;与结构的非定常空气动力学和流体动力学相互作用;心脏中发现的多相和过渡流;以及大气中的阵风特性。拟议的研究计划将探索使用这些新的基于拉格朗日的测量技术及其相关的后处理策略，作为一种手段，提供深入了解这种流动的基本物理。该提案将开始描述如何实施Tomo-PTV测量可能会塑造我们在分析这些问题时采取的方向。特别是，我们将研究用于网络跟踪粒子及其加速度内容的新公式如何实现压力等流动特征的提取。对于涡量，我们将研究非定常物体附近的测量如何提供涡量产生及其在尾流中的重新定向的洞察力，从而确定流动控制和优化的可能新途径。**

Vortices - regions of strong rotation - are often referred to as the 'sinews and muscle of fluid motions' for the very fact that they are responsible for the transport of mass and momentum. Furthermore, the study of vorticity production, reorientation and annihilation are ubiquitous to a broad range of unsteady aerodynamic, hydrodynamic and hemodynamic problems found both in nature and engineering. Whether at the small scales of flapping flight or at large scales of stall on wind-turbine blades, understanding how vorticity is generated near a body and reoriented into the wake is critical towards optimization and flow control in such systems. Fortunately, due to current advances in camera, laser and processing capabilities, new methodologies in time-resolved, volumetric imaging are currently being introduced. These new methods are referred to as 'Shake-The-Box' (STB) or Tomographic Particle Tracking Velocimetry (Tomo-PTV), and are slated to break down long-standing barriers in lab- and field-based experimentation. Unlike existing Eulerian-based imaging techniques such as Tomographic Particle Image Velocimetry (Tomo-PIV), these new Lagrangian approaches provide detailed Lagrangian tracking information (long pathlines) at ultra-high seeding densities, on the order of 100,000 tracked particles at any given time step. This new approach opens up a whole new gamut of analysis techniques from pressure-field extraction near steady and moving bodies to direct Lagrangian Coherent Structure (LCS) identification in wakes. ***Since the development of numerical modelling approaches for complex flows demands high-quality experimentation for their validation and calibration, such new Lagrangian experimental techniques are expected to provide much needed insight into these elusive problems. Examples of such challenging cases include: high Reynolds number (turbulent) flows with a large range of temporal and spatial scales; unsteady aerodynamic and hydrodynamic interactions with structures; multiphase and transitional flows such as are found in the heart; and gust characterization in the atmosphere. The proposed research program will explore the use of these new Lagrangian-based measurement techniques and their associated post-processing strategies as a means to offer insight into the underlying physics of such flows. The proposal will begin by describing how the implementation of Tomo-PTV measurements is likely to shape the direction we take when analyzing these problems. In particular, we will look at how new formulations for networking tracked particles and their acceleration content will enable extraction of flow features such as pressure. With vorticity, we will investigate how measurements near unsteady bodies will provide insight into vorticity production and its reorientation in the wake, thus identifying possible new avenues for flow control and optimization. **