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Nonlinear uncertainty quantification of the impact of geometric variability on compressor performance using an adjoint method
作者姓名:Qian ZHANG  Shenren XU  Xianjun YU  Jiaxin LIU  Dingxi WANG  Xiuquan HUANG
作者单位:School of Power and Energy,Northwestern Polytechnical University,Xi'an 710072,China;School of Power and Energy,Northwestern Polytechnical University,Xi'an 710072,China;Key Laboratory of Aeroengine Internal Flows,Northwestern Polytechnical University,Xi'an 710129,China;School of Energy and Power Engineering,Beihang University,Beijing 100083,China;Research Institute of Aeroengine,Beihang University,Beijing 100083,China;School of Energy and Power Engineering,Beihang University,Beijing 100083,China
基金项目:funded by the National Natural Science Foundation of China (No. 52006177);;National Science and Technology Major Project, China (No. 2017-II-0009-0023);
摘    要:Manufactured blades are inevitably different from their design intent, which leads to a deviation of the performance from the intended value. To quantify the associated performance uncertainty, many approaches have been developed. The traditional Monte Carlo method based on a Computational Fluid Dynamics solver(MC-CFD) for a three-dimensional compressor is prohibitively expensive. Existing alternatives to the MC-CFD, such as surrogate models and secondorder derivatives based on the adjoint metho...

收稿时间:23 April 2021

Nonlinear uncertainty quantification of the impact of geometric variability on compressor performance using an adjoint method
Qian ZHANG,Shenren XU,Xianjun YU,Jiaxin LIU,Dingxi WANG,Xiuquan HUANG.Nonlinear uncertainty quantification of the impact of geometric variability on compressor performance using an adjoint method[J].Chinese Journal of Aeronautics,2022,35(2):17-21.
Authors:Qian ZHANG  Shenren XU  Xianjun YU  Jiaxin LIU  Dingxi WANG  Xiuquan HUANG
Institution:1. School of Power and Energy, Northwestern Polytechnical University, Xi’an 710072, China;2. Key Laboratory of Aeroengine Internal Flows, Northwestern Polytechnical University, Xi’an 710129, China;3. School of Energy and Power Engineering, Beihang University, Beijing 100083, China;4. Research Institute of Aeroengine, Beihang University, Beijing 100083, China
Abstract:Manufactured blades are inevitably different from their design intent,which leads to a deviation of the performance from the intended value.To quantify the associated performance uncertainty,many approaches have been developed.The traditional Monte Carlo method based on a Computational Fluid Dynamics solver (MC-CFD) for a three-dimensional compressor is pro-hibitively expensive.Existing alternatives to the MC-CFD,such as surrogate models and second-order derivatives based on the adjoint method,can greatly reduce the computational cost.Neverthe-less,they will encounter 'the curse of dimensionality'except for the linear model based on the adjoint gradient (called MC-adj-linear).However,the MC-adj-linear model neglects the nonlinearity of the performance function.In this work,an improved method is proposed to circumvent the low-accuracy problem of the MC-adj-linear without incurring the high cost of other alternative models.The method is applied to the study of the aerodynamic performance of an annular transonic com-pressor cascade,subject to prescribed geometric variability with industrial relevance.It is found that the proposed method achieves a significant accuracy improvement over the MC-adj-linear with low computational cost,showing the great potential for fast uncertainty quantification.
Keywords:Adjoint method  Aerodynamics  Compressor  Manufacturing  Monte Carlo method  Nonlinearity  Uncertainty quantification
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