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arXiv 2008.10002physics.flu-dyn
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圆柱绕流的扩展平均流分析

Extended mean flow analysis of the circular cylinder flow

Olivier Marquet, Marco Carini

摘要:

本文提出了一种新的特征值分析方法,并应用于圆柱体层流构型,研究了雷诺数超临界值时,扰动非线性饱和产生极限环的各种机制。与平均流分析不同,平均流分析只考虑了时间周期流的一次谐波与其平均流的相互作用,而所谓的扩展平均流分析也考虑了其与二次谐波的相互作用。结果表明,存在两个本征值的增长率都恰好等于零。高频率的本征模给出了更好的估计的频率和空间结构的第一谐波比边缘模式获得的平均流分析,特别是当雷诺数增加。

英文摘要:

A new eigenvalue analysis is developed and applied to the circular cylinder laminar flow configuration to investigate the various mechanisms at play in the nonlinear saturation of perturbations yielding to limit cycles for supercritical values of the Reynolds number. Unlike the mean-flow analysis, which only accounts for the interaction of the first-harmonic of the time-periodic flow with its mean-flow, the so-called extended mean-flow analysis also accounts for its interaction with the second-harmonic. The results reveal the existence of two eigenvalues both having a growth rate exactly equal to zero. The high-frequency eigenmode gives better estimations of the frequency and spatial structure of the first-harmonic than the marginal modes obtained with the mean-flow analysis, especially when the Reynolds number is increased.

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