Periodically forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy conversion. Here we derive a mechanistic model of the dynamics of forced turbulent oscillator flows by leveraging a comprehensive experimental study of the turbulent wake behind a D-shaped body under periodic forcing. We confirm the role of resonant triadic interactions in the forced flow by studying the dominant components in the power spectra across multiple excitation frequencies and amplitudes. We then develop an extended Stuart-Landau model that captures the system dynamics and synchronization regions. Further, it is possible to identify the model coefficients from sparse measurement data.

由于其作为非线性动力系统的丰富性及其与运输，航空和能量转换应用的相关性，几十年来周期性强迫振荡流体一直是研究的重点。在这里，我们通过对周期性强迫作用下D形物体后面的湍流尾流进行综合实验研究，得出了强迫湍流振荡器流动力学的力学模型。通过研究跨多个激发频率和振幅的功率谱中的主要成分，我们确定了共振三重相互作用在强迫流动中的作用。然后，我们开发一个扩展的Stuart-Landau模型，该模型可以捕获系统动态和同步区域。此外，可以从稀疏的测量数据中识别模型系数。