Crowley C J, Pughe-Sanford J L, Toler W, Grigoriev R O, Schatz M F
Center for Nonlinear Science and School of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, GA 30332, USA.
Philos Trans A Math Phys Eng Sci. 2023 Mar 20;381(2243):20220137. doi: 10.1098/rsta.2022.0137. Epub 2023 Jan 30.
Recent work shows that recurrent solutions of the equations governing fluid flow play an important role in structuring the dynamics of turbulence. Here, an improved version of an earlier method (Krygier 2021 , A7 and Crowley 2022 , e2120665119) is used for detecting and analyzing intervals of time when turbulence 'shadows' (spatially and temporally mimics) recurrent solutions in both numerical simulations and laboratory experiments. We find that all the recurrent solutions shadowed in numerics are also shadowed in experiment, and the corresponding statistics of shadowing agree. Our results set the stage for experimentally grounded dynamical descriptions of turbulence in a variety of wall-bounded shear flows, enabling applications to forecasting and control. This article is part of the theme issue 'Taylor-Couette and related flows on the centennial of Taylor's seminal paper (part 1)'.
近期的研究表明，控制流体流动的方程的循环解在构建湍流动力学中起着重要作用。在此，采用了早期方法（Krygier 2021，A7；Crowley 2022，e2120665119）的改进版本，用于在数值模拟和实验室实验中检测和分析湍流“影子”（在空间和时间上模拟）循环解的时间间隔。我们发现，数值模拟中所有被影子化的循环解在实验中也被影子化，并且相应的影子化统计结果一致。我们的结果为基于实验的各种壁面边界剪切流中湍流的动力学描述奠定了基础，从而能够应用于预测和控制。本文是主题特刊“泰勒开创性论文发表百年之际的泰勒 - 库埃特及相关流动（第1部分）”的一部分。
