Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits.,Physical Review Letters

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Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-08-05 , DOI: 10.1103/physrevlett.125.064501
Balachandra Suri ₁ , Logan Kageorge ₂ , Roman O Grigoriev ₂ , Michael F Schatz ₂

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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.

中文翻译：

在具有不稳定周期轨道的实验中捕获湍流动力学和统计信息。

在实验室研究和数值模拟中，我们在中等湍流的准二维流中观察到了不稳定时间周期解的清晰特征。我们通过证明实验和数值中的湍流在遮盖不稳定的周期性轨道（UPO）时会瞬时显示时间周期动力学来验证此类解决方案的动力学相关性。我们表明，我们计算出的UPO在统计上也很重要，湍流在这些解决方案附近花费了总时间的相当一部分。结果，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几个百分点。

更新日期：2020-08-06

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