Long-wavelength instability of coherent structures in plane Couette flow.
Long-wavelength instability of coherent structures in plane Couette flow.
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平面库埃特流中相干结构的长波长不稳定性
DOI：
10.1103/physreve.89.043008
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
B. Eckhardt
中科院分区：
文献类型：
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作者：
K. Melnikov;T. Kreilos;B. Eckhardt
在复盖多对相干结构的宽域中，研究了平面Couette流中相干结构对长波扰动的稳定性。对于1对和2对涡旋，态保持了小域的稳定性，但对于3对涡旋，发现了新的不稳定模。它们被连接到破坏平移对称性的分叉，并驱动相干结构从跨向扩展态到作为跨向局域态的前驱的调制结构。跟踪轨道的稳定性作为跨向波长的函数，揭示了丰富多样的附加分叉。
We study the stability of coherent structures in plane Couette flow against long-wavelength perturbations in wide domains that cover several pairs of coherent structures. For one and two pairs of vortices, the states retain the stability properties of the small domains, but for three pairs new unstable modes are found. They are shown to be connected to bifurcations that break the translational symmetry and drive the coherent structures from the spanwise extended state to a modulated one that is a precursor to spanwise localized states. Tracking the stability of the orbits as functions of the spanwise wave length reveals a rich variety of additional bifurcations.
第七届 IUTAM 层流-湍流转变研讨会
DOI：
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发表时间：
2010
期刊：
影响因子：
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作者：
P. Schlatter;D. Henningson
通讯作者：
D. Henningson