用克里金与神经网络预测穿孔板压降,精度优于传统经验公式。
Kriging and neural network models for pressure losses across perforated plates

- 结合实验数据,用克里金和神经网络建模压降
- 对多数孔板配置预测误差更小,与实测值吻合好
- 适合流体仿真中的压降建模,尤其数据少时仍有效
本文提出两种基于克里金法和神经网络(NN)的新型数据驱动模型,用于预测湍流中圆形孔穿孔板的压降。模型基于文献中两组实验数据构建,其预测性能与广泛应用的经验公式进行对比。结果表明,所提模型在实验数据涵盖的大多数孔板构型下均显著优于现有经验模型,预测压降与实验测量值高度一致,证明基于克里金和神经网络的数据驱动方法可有效建模穿孔板压降。尽管训练数据相对有限(因文献中实测数据稀缺),两类方法仍表现出良好前景。为验证其在数值模拟中的适用性,采用雷诺平均纳维-斯托克斯(RANS)方程对二维通道流进行模拟,并将新压降模型作为动量方程中的源项引入。RANS结果与模型预测高度一致,证实了该方法在实际计算流体动力学应用中的可行性。
原文摘要 · Abstract (English)
In this paper, two novel data-driven models based on kriging and neural networks (NN) are proposed to predict pressure losses across perforated plates with circular perforations in turbulent flows. The models are developed using two sets of experimental data available in the literature. The predictive performance of the proposed models is assessed and compared against widely used empirical formulae. It is found that the proposed models consistently outperform existing empirical models for most perforated plate configurations contained in the experimental datasets. Besides, the predicted pressure losses generally show good agreement with experimental measurements, demonstrating that data-driven approaches based on kriging and NN provide a feasible framework for modelling pressure losses across perforated plates. Overall, both approaches are promising, despite being trained on a relatively limited amount of experimental data, owing to the scarcity of measurements reported in the literature. To demonstrate the applicability of the proposed models in numerical simulations, two-dimensional channel flows are simulated using the Reynolds-averaged Navier-Stokes (RANS) equations, in which the new pressure-loss models are implemented as a source term in the momentum equations. The RANS predictions are found to be in excellent agreement with the model predictions, confirming the suitability of the proposed approaches for practical computational fluid dynamics applications.
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