Relaminarization of Re t Ä 100 turbulence using gain scheduling and linear state-feedback control

Relaminarization of Re t Ä 100 turbulence using gain scheduling and linear state-feedback control
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使用增益调度和线性状态反馈控制对 Re t 100 湍流进行再层化

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发表时间:
2003
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通讯作者:
M. Högberg
M. Högberg
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作者:
M. Högberg

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本文首次成功地应用线性全状态反馈最优控制理论,对Re_(T5100)处的湍流道流动进行了一致再分层,得到了完整的状态信息和增益调度。驱动采用零净质量通量吹风,并在槽壁上进行吸力。这一战略成功的两个关键问题是:~!为了计算线性反馈增益,选择方程线性化的平均流剖面,以及~b!目标函数的选择,该目标函数的目标是对感兴趣的流动扰动进行控制。层流和完全湍流分布之间的一系列平均流型和针对近壁区流动扰动的加权能量量度被发现提供了有效的反馈增益。引入了一种增益调度策略,将反馈增益调整到非平稳的平均流分布,从而在所有被测试的实现中一致地重新分层湍流。©2003美国物理研究所。@doi:10.1063/1.1608939#
The first successful application of linear full-state feedback optimal control theory to consistently relaminarize turbulent channel flow at Re t5100 with full state information and gain scheduling is reported. The actuation is zero-net mass-flux blowing and suction on the channel walls. Two key issues central to the success of this strategy are: ~ ! the choice of the mean-flow profile about which the equations are linearized for the computation of the linear feedback gains, and ~b! the choice of an objective function which targets the control effort on the flow perturbations of interest. A range of mean-flow profiles between the laminar and fully turbulent profiles and a weighted energy measure which targets flow perturbations in the near-wall region were found to provide effective feedback gains. A gain-scheduling strategy to tune the feedback gains to the nonstationary mean-flow profile is introduced, resulting in consistent relaminarization of the turbulent flow in all realizations tested. ©2003 American Institute of Physics. @DOI: 10.1063/1.1608939 #