Exact coherent structures and shadowing in turbulent Taylor–Couette flow
Exact coherent structures and shadowing in turbulent Taylor–Couette flow
复制标题
泰勒-库埃特湍流中的精确相干结构和阴影
DOI：
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发表时间：
2021
影响因子：
3.7
通讯作者：
R. Grigoriev
中科院分区：
文献类型：
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作者：
M. Krygier;Joshua L. Pughe;R. Grigoriev
摘要本文基于精确相干结构（ECS）的形式主义，研究了一种模拟流体湍流的理论框架。虽然非常有前途，现有的证据表明，ECS在湍流中的作用主要是间接的，主要来自理想化的数值模拟。特别是，目前还不清楚是否在实验中的三维湍流阴影任何ECS。为了最终回答这个问题，一个层次的ECS应计算域和边界条件完全匹配的实验。本研究在这个方向上迈出了第一步，通过调查一个小的纵横比泰勒-库埃特流与自然周期性边界条件的方位角方向。我们描述的结构的混沌集的湍流驱动的反向旋转的圆柱体和提出直接的数值证据的阴影的集合不稳定的相对周期轨道和行波，设置阶段的框架进一步的实验测试。
Abstract We investigate a theoretical framework for modelling fluid turbulence based on the formalism of exact coherent structures (ECSs). Although highly promising, existing evidence for the role of ECSs in turbulent flows is largely circumstantial and comes primarily from idealized numerical simulations. In particular, it remains unclear whether three-dimensional turbulent flows in experiment shadow any ECSs. In order to conclusively answer this question, a hierarchy of ECSs should be computed on a domain and with boundary conditions exactly matching experiment. The present study makes the first step in this direction by investigating a small-aspect-ratio Taylor–Couette flow with naturally periodic boundary conditions in the azimuthal direction. We describe the structure of the chaotic set underlying turbulent flow driven by counter-rotating cylinders and present direct numerical evidence for shadowing of a collection of unstable relative periodic orbits and a travelling wave, setting the stage for further experimental tests of the framework.
影响因子：
4.6
作者：
D. Lucas;R. Kerswell
通讯作者：
D. Lucas;R. Kerswell
影响因子：
3.7
作者：
Chandler, Gary J.;Kerswell, Rich R.
通讯作者：
Kerswell, Rich R.