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arXiv 1907.12239physics.flu-dynphysics.comp-ph
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基于粒子图像测速技术的翼型分离流场线性降阶模型的定量评价

Quantitative Evaluation of a Linear Reduced-order Model based on Particle-image-velocimetry Data of Separated Flow Field around Airfoil

Taku Nonomura, Koki Nankai, Yuto Iwasaki, Atsushi Komuro, Keisuke Asai

摘要:

提出了一种基于粒子图像测速(PIV)数据的NACA0015翼型绕流降阶模型的定量评价方法。采用本征正交分解(POD)技术将PIV时间分辨测量得到的速度场数据分解为显著模态,然后对POD模态的时间推进量进行线性回归或稀疏促进动态模态分解(DMD),建立线性降阶模型。该评价方法可用于估计误差和模型可预报性的评价。该模型使用不同数量的POD或DMD模式的流体数据的阶数减少和不同的方法估计的线性系数,这些条件对模型性能的影响进行了定量评估。结果表明,前向(标准)模型的效果最好的两个到十个显着的DMD模式选择稀疏促进DMD。

英文摘要:

A quantitative evaluation method for a reduced-order model of the flow field around an NACA0015 airfoil based on particle image velocimetry (PIV) data is proposed in the present paper. The velocity field data obtained by the time-resolved PIV measurement were decomposed into significant modes by a proper orthogonal decomposition (POD) technique, and a linear reduced-order model was then constructed by the linear regression of the time advancement of the POD modes or the sparsity promoting dynamic mode decomposition (DMD). The present evaluation method can be used for the evaluation of the estimation error and the model predictability. The model was constructed using different numbers of POD or DMD modes for order reduction of the fluid data and different methods of estimating the linear coefficients, and the effects of these conditions on the model performance were quantitatively evaluated. The results illustrates that forward (standard) model works the best with two to ten significant DMD modes selected by sparsity promoting DMD.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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