Existence and Stability of Finite-Amplitude States in Plane Couette Flow

Existence and Stability of Finite-Amplitude States in Plane Couette Flow
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平面库埃特流有限振幅态的存在性及其稳定性

DOI：
10.1007/978-94-009-0297-8_89
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
U. Ehrenstein
U. Ehrenstein
中科院分区：
--
文献类型：
--
作者：
A. Cherhabili;U. Ehrenstein

文献摘要

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为了阐明平面库埃特流中的过渡机制，我们通过将平面泊肃叶流中的二维非线性波数值扩展到平面库埃特流极限来计算有限振幅平衡解。平面库埃特流中的二维非线性状态采用空间局部（类孤立）驻波的形式，它们代表了二次稳定性分析的新基本状态。计算二次稳定性特征以及导致 3D 非线性状态的二次分叉分支，该状态在流向空间上局部化，在展向方向上周期性。
To elucidate the transition mechanism in plane Couette flow we compute finite-amplitude equilibrium solutions by extending numerically 2D nonlinear waves in plane Poiseuille flow to the plane Couette flow limit. The 2D nonlinear states in plane Couette flow take the form of spatially localized (solitarylike) stationary waves, they represent a new basic state for a secondary stability analysis. Secondary stability characteristics are computed as well as secondary bifurcation branches leading to 3D nonlinear states spatially localized in the streamwise direction and periodic in the spanwise direction.