用Koopman线性时不变分析建立流体与结构的直接唯象联系
Establishing Direct Phenomenological Connections between Fluid and Structure by the Koopman-Linearly-Time-Invariant Analysis
摘要：
在这项工作中，我们介绍了一种新的数据驱动的配方，Koopman-Linearly-Time-Invariant（Koopman-LTI）分析，分析流体-结构相互作用（FSI）。在Re= 22，000的棱柱体上的亚临界自由剪切流的Koopman-LTI的实现证实了一个构型方面的通用Koopman系统，该系统以恒星精度近似了构型的非线性动力学。Koopman-LTI还成功地将原始测量的包络形态分解为基于频率的成分的线性叠加。最重要的是，在随机和各向异性湍流的情况下，Koopman-LTI产生了结构响应和流体激励的频率方向相同的模式，从而在流体和结构的现象学之间建立了直接的本构关系。
英文摘要：
In this work, we introduce a novel data-driven formulation, the Koopman-Linearly-Time-Invariant (Koopman-LTI) analysis, for analyzing Fluid-Structure Interactions (FSI). An implementation of the Koopman-LTI on a subcritical free-shear flow over a prism at Re=22,000 corroborated a configuration-wise universal Koopman system, which approximated the configuration's nonlinear dynamics with stellar accuracy. The Koopman-LTI also successfully decomposed the entwined morphologies of raw measurement into a linear superposition of frequency-based constituents. Most importantly, with random and anisotropic turbulence, the Koopman-LTI yielded frequency-wise identical modes for structure response and fluid excitation, thus establishing direct constitutive relations between the phenomenology of fluid and structure.
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