Reduced-order Model for Solution of Cascade Flow Field Based on Physical Model and Machine Learning

LU Yufeng; DAI Ren

doi:10.19805/j.cnki.jcspe.2026.250467

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Reduced-order Model for Solution of Cascade Flow Field Based on Physical Model and Machine Learning

更新时间：2026-09-15

- Reduced-order Model for Solution of Cascade Flow Field Based on Physical Model and Machine Learning
- Chinese Journal of Power Engineering Vol. 46, Issue 9, Pages: 49-58(2026)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.19805/j.cnki.jcspe.2026.250467
  CLC： TK474
- Published：2026
- 稿件说明：
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卢宇峰, 戴韧. 基于物理模型与机器学习求解叶栅流场的降阶模型[J]. 动力工程学报, 2026, 46(9): 49-58.
卢宇峰, 戴韧. 基于物理模型与机器学习求解叶栅流场的降阶模型[J]. 动力工程学报, 2026, 46(9): 49-58. DOI： 10.19805/j.cnki.jcspe.2026.250467.

DOI： 10.19805/j.cnki.jcspe.2026.250467

摘要

提出一种求解叶栅三维流场的降阶模型，将RANS方程降阶为对应的Euler方程与黏性修正源项，求解Euler方程获得无黏的基本三维流场，应用多层感知神经网络，预测不同工况和几何参数条件下的黏性源项，修正Euler解。应用模型分别求解rotor37和1.5级Aachen透平流场。结果表明：机器学习修正方法不需要大量的学习样本，将Euler解的精度提高了一个量级，很好地反映了叶栅三维流动特征，对降低叶栅优化计算的硬件要求，提升叶轮机械通流优化设计的计算速度具有很好的应用价值。

Abstract

A reduced-order model for solving three-dimensional flow fields in cascades was proposed

which reduced RANS equations to corresponding Euler equations coupled with viscous correction source terms. The inviscid base three-dimensional flow field was obtained by solving Euler equations. A multilayer perceptron neural network was then employed to predict the viscous source terms under various operating conditions and geometric parameters

thereby correcting the Euler solutions. The model was applied to solve the flow fields of Rotor 37 and a 1.5-stage Aachen turbine. Results show that the machine learning correction method

without requiring extensive training samples

improves the accuracy of the Euler solutions by an order of magnitude

accurately capturing the three-dimensional flow characteristics within the cascade. This approach holds significant application value for reducing hardware requirements and enhancing computational speed for cascade optimization computations and throughflow design of turbomachinery.

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