Quasi-laminar stability and sensitivity analyses for turbulent flows: Prediction of low-frequency unsteadiness and passive control

Quasi-laminar stability and sensitivity analyses for turbulent flows: Prediction of low-frequency unsteadiness and passive control
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湍流的准层流稳定性和敏感性分析:低频不稳定和被动控制的预测

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
H. Bézard
H. Bézard
中科院分区:
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文献类型:
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作者:
C. Mettot;D. Sipp;H. Bézard

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本文提出了一种准层流稳定性的方法,以确定在高雷诺数流动的主要低频和设计被动控制手段,以改变这些频率。该方法是基于一个全球性的线性稳定性分析的平均流量,这对应于时间平均的非定常流。与Meliga等人的先前工作[“Sensitivity of 2-D turbulent flow past a D-shaped cylinder using global stability,”Phys. Fluids 24,061701(2012)]相反,我们使用仅基于分子粘度的线性化Navier-Stokes方程(不考虑任何湍流模型和任何涡动粘度)来提取流动的最不稳定的直接和伴随全局模式。然后,我们计算这些模式的频率灵敏度图,以便提前预测一个小的控制缸最佳地改变流量的频率。在Parezanovic和Cadot [J. Fluid Mech.693,115(2012)]研究的D形柱体的情况下,我们表明,本方法我们...
This article presents a quasi-laminar stability approach to identify in high-Reynolds number flows the dominant low-frequencies and to design passive control means to shift these frequencies. The approach is based on a global linear stability analysis of mean-flows, which correspond to the time-average of the unsteady flows. Contrary to the previous work by Meliga et al. [“Sensitivity of 2-D turbulent flow past a D-shaped cylinder using global stability,” Phys. Fluids 24, 061701 (2012)], we use the linearized Navier-Stokes equations based solely on the molecular viscosity (leaving aside any turbulence model and any eddy viscosity) to extract the least stable direct and adjoint global modes of the flow. Then, we compute the frequency sensitivity maps of these modes, so as to predict before hand where a small control cylinder optimally shifts the frequency of the flow. In the case of the D-shaped cylinder studied by Parezanovic and Cadot [J. Fluid Mech. 693, 115 (2012)], we show that the present approach we...