论文标题
周期性外部强迫的层流缸唤醒的相同步特性
Phase-synchronization properties of laminar cylinder wake for periodic external forcings
论文作者
论文摘要
我们使用相还原理论的原理研究了二维周期性流在圆柱上的同步性能。谐波外部强迫对尾流动力学的影响，以及圆柱体后面涡流脱落到这些强迫的可能同步，可以通过评估系统对弱脉冲扰动的相位响应来确定。这些水平和垂直扰动在一段时间内在不同的相值处添加，以相对于极限循环开发线性的一维模型，该模型仅通过单个标量相变量描述流体流的高维和非线性动力学。然后，该模型被用来获取圆柱唤醒与全球近伴随区域中添加的谐波强迫之间同步的理论条件。通过将本研究的发现与动态模式分解和对较早作品的唤醒动态的伴随分析相比，获得了宝贵的见解。目前的分析揭示了流动中的区域，该区域可以使相位同步或对异步化，以使其对诸如主动流控制和流体结构相互作用等应用的定期激发。
We investigate the synchronization properties of the two-dimensional periodic flow over a circular cylinder using the principles of phase-reduction theory. The influence of harmonic external forcings on the wake dynamics, and the possible synchronization of the vortex shedding behind the cylinder to these forcings, is determined by evaluating the phase response of the system to weak impulse perturbations. These horizontal and vertical perturbations are added at different phase values over a period, in order to develop a linear one-dimensional model with respect to the limit cycle that describes the high-dimensional and nonlinear dynamics of the fluid flow via only a single scalar phase variable. This model is then utilized to acquire the theoretical conditions for the synchronization between the cylinder wake and the harmonic forcings added in the global near-wake region. Valuable insights are gained by comparing the findings of the present research against those rendered by the dynamic mode decomposition and adjoint analysis of the wake dynamics in earlier works. The present analysis reveals regions in the flow which enable phase synchronization or desynchronization to periodic excitations for applications such as active flow control and fluid-structure interactions.
