SI2-SSE: Collaborative Research: Lagrangian Coherent Structures for Accurate Flow Structure Analysis

该项目开发的拉格朗日相干结构（LCS）软件元素将为流体力学研究提供一套有价值的工具，从大量不断增长的计算和实验流体力学数据中提取新发现。LCS的计算使系统的方法能够准确地表征复杂系统中的输运现象，这对传统的欧拉方法构成了不可逾越的挑战。此前，LCS的临时实现已经帮助解决了一些重要的现实挑战，包括跟踪海洋中的污染物，开发心血管疾病的新诊断和治疗方法，以及帮助飞机避开湍流。我们将生产一个开放的LCS软件系统，提供一个模块化的、可扩展的和灵活的基础设施，以扩大从LCS中受益的科学家和工程师的社区，从流体动力学到一般动力系统。Shadden教授将领导LCS算法设计和数值分析，Hart教授将负责软件包的架构设计和其元素的高效并行实现。

The Lagrangian Coherent Structures (LCS) software elements developed by this project will provide a valuable tool set for fluid mechanics research to extract new discoveries from the vast and growing body of computational and experimental fluid mechanics data. The computation of LCS enables a systematic approach to accurately characterize transport phenomena in complex systems that pose insurmountable challenges to traditional Eulerian approaches. Prior, ah hoc implementations of LCS have already helped in important, real-world challenges including, tracking pollutants in the ocean, developing novel diagnoses and therapies for cardiovascular disease, and helping airplanes to avoid turbulence. We will produce an open LCS software system to provide a modular, extensible and flexible infrastructure to broaden the community of scientists and engineers that benefit from LCS, in problems ranging from fluid dynamics to general dynamical systems. Prof. Shadden will lead the LCS algorithm design and numerical analysis, and Prof. Hart will oversee the package's architectural design and the efficient parallel implementation of its elements.