Phase-response analysis of synchronization for periodic flows
Phase-response analysis of synchronization for periodic flows
复制标题
周期流同步的相位响应分析
DOI：
10.1017/jfm.2018.327
复制
发表时间：
2018
影响因子：
3.7
通讯作者：
Nakao Hiroya
中科院分区：
文献类型：
--
作者：
Taira Kunihiko;Nakao Hiroya
我们应用相还原分析来研究周期性流体流动的同步特性。非定常流的动力学是用相动力学来描述的，将高维流体流简化为单个标量相变量。我们的脉冲扰动，这反过来又可以量化的周期性扰动对非定常流的影响的相位响应的特征。这些来自基于相位的分析的见解揭示了同步的条件。在本工作中，我们作为一个例子研究周期性的外部强迫对非定常圆柱尾迹的影响。同步的条件被确定，并同意密切从直接数值模拟的结果。此外，分析揭示了同步的最佳强制方向。相位响应分析具有揭示一系列周期性流的锁定特性的潜力。
We apply phase-reduction analysis to examine synchronization properties of periodic fluid flows. The dynamics of unsteady flows is described in terms of the phase dynamics, reducing the high-dimensional fluid flow to its single scalar phase variable. We characterize the phase response to impulse perturbations, which can in turn quantify the influence of periodic perturbations on the unsteady flow. These insights from phase-based analysis uncover the condition for synchronization. In the present work, we study as an example the influence of periodic external forcing on an unsteady cylinder wake. The condition for synchronization is identified and agrees closely with results from direct numerical simulations. Moreover, the analysis reveals the optimal forcing direction for synchronization. Phase-response analysis holds potential to uncover lock-on characteristics for a range of periodic flows.