针对压气机叶栅逆压分离流的S-A湍流模型改进

Improved S-A turbulence model for compressor cascade flow under adverse pressure gradient and separation

  • 摘要: 为了准确预测包含逆压力梯度和角区分离流动的压气机叶栅流场,对Spalart-Allmaras (S-A)湍流模型进行了改进。根据叶栅角区的实际结构,重新定义了湍流模型中的壁面距离;在湍流修正黏度输运方程中添加了螺旋度和逆压力梯度修正项,校正了模型系数和进口参数。对NACA65009叶栅应用了改进后的湍流模型,并利用叶片50%和5.4%叶高截面的静压系数实验数据,使用集合卡尔曼滤波数据同化方法校正了修正项系数及叶栅进口的边界条件。结果显示,改进后S-A模型可以显著提高压气机叶栅角区分离流的预测精度,相比于原始S-A模型预测结果,预测偏差减小了80%以上,与没参与校正的实验数据比较,预测偏差也大幅减小。经不同工况验证,改进后的S-A湍流模型在不同工况具有一定泛化性。

     

    Abstract: To accurately predict the flow field of compressor cascades involving adverse pressure gradients and corner separation flows, an improved Spalart-Allmaras (S-A) turbulence model was developed. Based on the actual structural characteristics of the cascade corner region, the wall distance in the turbulence model was redefined. Correction terms for helicity and adverse pressure gradient were introduced into the transport equation of turbulent eddy viscosity, along with adjustments to model coefficients and inlet parameters. The enhanced turbulence model was applied to NACA65009 cascades, and the Ensemble Kalman Filter (EnKF) data assimilation method was employed to calibrate correction coefficients and inlet boundary conditions using experimental static pressure coefficient data at 50% and 5.4% span. Results demonstrate that the modified S-A model significantly improves prediction accuracy for corner separation flows in compressor cascades. Compared with the original S-A model, prediction deviations were reduced by over 80%. The improved model also shows substantially smaller discrepancies when validated against independent experimental data excluded from calibration. Validation under multiple operating conditions confirms the enhanced generalization capability of the modified S-A turbulence model across different working regimes.

     

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