Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits
Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits
复制标题
在不稳定周期轨道实验中捕获湍流动力学和统计数据
DOI：
10.1103/physrevlett.125.064501
复制
发表时间：
2020
影响因子：
8.6
通讯作者：
Schatz, Michael F.
中科院分区：
文献类型：
--
作者：
Suri, Balachandra;Kageorge, Logan;Grigoriev, Roman O.;Schatz, Michael F.
在实验室研究和数值模拟中，我们观察到清晰的签名不稳定的时间周期解在适度湍流准二维流。我们验证了这样的解决方案的动力学相关性，通过证明湍流在实验和数值瞬时显示时间周期动态时，他们的影子不稳定的周期轨道（UPOs）。我们表明，我们计算的UPO也是统计上显着的，湍流花费了相当大的一部分，这些解决方案附近的总时间。因此，湍流和经常访问的UPO的能量输入和耗散的平均速率仅相差百分之几。
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.