离心压缩机性能预测中雷诺平均湍流模型的不确定度量化与分析

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天键词：湍流模型；离心压缩机；不确定度量化；非均匀扰动中图分类号：TKO5文献标志码：ADOI：10.7652/xjtuxb202509018 文章编号：0253-987X（2025）09-0187-10

Uncertainty Quantification of Reynolds-Averaged Navier-Stokes Turbulence Model in Predicting Centrifugal Compressor Performance

.NG Tongsheng， XI Guang， SUN Zhongguo， ZHANG Chenqing， LI Anna， HUANG Zhi （School of Energy and Power Engineering，Xi'an Jiaotong University，Xi'an 7lOo49，China）

Abstract： The prediction of the aerodynamic performance of a centrifugal compressor using the Reynolds-averaged Navier-Stokes （RANS） turbulence model often shows significant discrepancies with experimental results. To quantify the uncertainty of RANS models in predicting centrifugal compressor performance， the eigenvalues and eigenvectors of the realizable， physically constrained Reynolds stress tensor are perturbed. Specifically，a non-uniform perturbation method is applied within the barycentric triangle to disturb the base flow toward the three limiting states of turbulence，thereby obtaining the extrema of the production terms in the turbulence transport equations. This approach enables the quantification of the L2 uncertainty in the RANS model. At operating conditions on the left of the performance curve， the confidence interval fully encompasses the maximum deviations of 4.37% in total pressure ratio and 0.9% in polytropic efficiency observed between the unperturbed simulation and experimental results. Besides，the influence of different perturbations on predicting flow separation onset on the suction surface of a centrifugal impeller blade is investigated. The results indicate that eigenvalue perturbations of a single component of the Reynolds stress tensor yield more conservative predictions of flow separation，whereas eigenvector perturbations of a single component result in more aggressive predictions. The uncertainty in the RANS model's predictions of performance boundaries can further be utilized for cross-validation with experimental measurement data.

Keywords： turbulence model; centrifugal compressor; uncertainty quantification； non-uniform perturbation

湍流是工业应用和自然界中广泛存在的复杂流动现象，具有随机性、时空多尺度等特征，其精确的数值预测对航空航天、能源动力等工业领域的应用及大气环流等自然现象的理解至关重要[1-2]。（剩余15153字）