State Estimator of Flow as an Integrated Computational Method With the Feedback of Online Experimental Measurement
State Estimator of Flow as an Integrated Computational Method With the Feedback of Online Experimental Measurement
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在线实验测量反馈的流状态估计综合计算方法
DOI：
10.1115/1.2819503
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
S. Hayashi
中科院分区：
文献类型：
--
作者：
T. Hayase;S. Hayashi
本文涉及状态估计器或简单的流场观察器。观测器是控制系统理论中的一个基本概念，作为一种借助实验的集成计算方法，也具有分析流动相关问题的潜力。在观测器的框架下，根据在线实验测量的反馈，根据数学模型来估计物理流的状态。采用基于SIMPLER的流动仿真算法作为真实流动的数学模型，部分实验测量的流动通过反馈控制器反馈到边界条件。反馈环路的存在本质上将观察者与普通的流动模拟区分开来。即使对于不稳定的湍流，观测器的计算结果的时间变化也有望精确地收敛到整个流域中的物理流的时间变化。已经进行了数值实验，以确认所提出的观察器对于通过方形横截面管道的湍流的有效性。要估计的物理流通过数值解来建模。与无反馈的普通流动模拟相比，适当选择观测器的比例反馈增益可以使模拟的收敛速度加快0.012倍，并在整个域内将扰动速度估计误差减少0.6倍，或者在输出测量平面后面减少0.3倍。
This paper deals with a state estimator or simply an observer of flow field. The observer, being a fundamental concept in the control system theory, also has a potential in the analysis of flow related problems as an integrated computational method with the aid of experiment. In the framework of the observer, the state of physical flow is estimated from the mathematical model with the feedback of on-line experimental measurement. A SIMPLER based flow simulation algorithm is used as the mathematical model of the real flow and partial experimental measurement of flow is fed back to the boundary condition through the feedback controller. The existence of the feedback-loop essentially distinguishes the observer from ordinary flow simulations. Time variation of the computational result of the observer is expected to converge exactly to that of the physical flow in the whole flow domain even for unstable turbulent flows. A numerical experiment has been performed to confirm the validity of the proposed observer for a turbulent flow through a duct of square cross section. The physical flow to be estimated is modeled by a numerical solution. Appropriate choice for the proportional feedback gain of the observer results in accelerated convergence of the simulation by a factor of 0.012 and reduced error in estimation of the perturbation velocity by a factor of 0.6 in the whole domain or a factor of 0.3 behind the output measurement plane in comparison with the ordinary flow simulation without feedback.