论文标题
在具有不稳定周期轨道的实验中捕获湍流动力和统计数据
Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits
论文作者
论文摘要
在实验室研究和数值模拟中，我们观察到中等湍流的准二维流动中不稳定的时间周期溶液的明确特征。我们通过证明实验和数字中的湍流在阴影不稳定的周期轨道（UPOS）时会瞬时显示时间周期性动力学来验证这种解决方案的动态相关性。我们表明，我们计算的UPOS也具有统计学意义，湍流将相当大的总时间分配在这些解决方案附近。结果，湍流的平均能量输入和耗散速率和经常访问UPO的平均速度仅差异几％。
In laboratory studies and numerical simulations, we observe clear signatures of unstable time-periodic solutions in a moderately turbulent quasi-two-dimensional flow. We validate the dynamical relevance of such solutions by demonstrating that turbulent flows in both experiment and numerics transiently display time-periodic dynamics when they shadow unstable periodic orbits (UPOs). We show that UPOs we computed are also statistically significant, with turbulent flows spending a sizable fraction of the total time near these solutions. As a result, the average rates of energy input and dissipation for the turbulent flow and frequently visited UPOs differ only by a few percent.
