Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method

Precise and inexpensive uncertainty quantification (UQ) is crucial for robust optimization of compressor blades and to control manufacturing tolerances. This study looks into the suitability of MC−adj−nonlinear, a nonlinear adjoint-based approach, to precisely and rapidly assess the performance disc...

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Main Authors: Shenren Xu, Qian Zhang, Dingxi Wang, Xiuquan Huang
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/10/3/280
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author Shenren Xu
Qian Zhang
Dingxi Wang
Xiuquan Huang
author_facet Shenren Xu
Qian Zhang
Dingxi Wang
Xiuquan Huang
author_sort Shenren Xu
collection DOAJ
description Precise and inexpensive uncertainty quantification (UQ) is crucial for robust optimization of compressor blades and to control manufacturing tolerances. This study looks into the suitability of MC−adj−nonlinear, a nonlinear adjoint-based approach, to precisely and rapidly assess the performance discrepancies of a transonic compressor blade section, arising from geometric alterations, and building upon previous research. In order to assess the practicality and illustrate the benefits of the adjoint-based nonlinear approach, its proficiency and precision are gauged against two other methodologies, the adjoint-based linear approach (MC−adj−linear) and the high-fidelity nonlinear Computational Fluid Dynamics (MC−CFD) method. The MC−adj−nonlinear methodology exhibits impressive generalization capabilities. The MC−adj−nonlinear method offers a great balance between precision and time efficiency, since it is more precise than the MC−adj−linear method in both design and near-stall conditions, yet requires approximately a thirtieth of the time of the MC−CFD method. Finally, the MC−adj−nonlinear method was utilized to conduct fast UQ analyses of the section at four distinct speeds to quantify the performance uncertainty for the compressor map. It is found that aerodynamic performance is more sensitive to geometric deviations at high speeds than at low speeds. The impact of the geometric deviations is generally detrimental to the mean efficiency.
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spelling doaj.art-b25fa127066c4ee6b3e2fc7b4ec3d40e2023-11-17T08:58:53ZengMDPI AGAerospace2226-43102023-03-0110328010.3390/aerospace10030280Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear MethodShenren Xu0Qian Zhang1Dingxi Wang2Xiuquan Huang3School of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Power and Energy, Northwestern Polytechnical University, Xi’an 710129, ChinaPrecise and inexpensive uncertainty quantification (UQ) is crucial for robust optimization of compressor blades and to control manufacturing tolerances. This study looks into the suitability of MC−adj−nonlinear, a nonlinear adjoint-based approach, to precisely and rapidly assess the performance discrepancies of a transonic compressor blade section, arising from geometric alterations, and building upon previous research. In order to assess the practicality and illustrate the benefits of the adjoint-based nonlinear approach, its proficiency and precision are gauged against two other methodologies, the adjoint-based linear approach (MC−adj−linear) and the high-fidelity nonlinear Computational Fluid Dynamics (MC−CFD) method. The MC−adj−nonlinear methodology exhibits impressive generalization capabilities. The MC−adj−nonlinear method offers a great balance between precision and time efficiency, since it is more precise than the MC−adj−linear method in both design and near-stall conditions, yet requires approximately a thirtieth of the time of the MC−CFD method. Finally, the MC−adj−nonlinear method was utilized to conduct fast UQ analyses of the section at four distinct speeds to quantify the performance uncertainty for the compressor map. It is found that aerodynamic performance is more sensitive to geometric deviations at high speeds than at low speeds. The impact of the geometric deviations is generally detrimental to the mean efficiency.https://www.mdpi.com/2226-4310/10/3/280manufacturing variabilityuncertainty quantificationMonte Carloadjoint methodcompressor map
spellingShingle Shenren Xu
Qian Zhang
Dingxi Wang
Xiuquan Huang
Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method
Aerospace
manufacturing variability
uncertainty quantification
Monte Carlo
adjoint method
compressor map
title Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method
title_full Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method
title_fullStr Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method
title_full_unstemmed Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method
title_short Uncertainty Quantification of Compressor Map Using the Monte Carlo Approach Accelerated by an Adjoint-Based Nonlinear Method
title_sort uncertainty quantification of compressor map using the monte carlo approach accelerated by an adjoint based nonlinear method
topic manufacturing variability
uncertainty quantification
Monte Carlo
adjoint method
compressor map
url https://www.mdpi.com/2226-4310/10/3/280
work_keys_str_mv AT shenrenxu uncertaintyquantificationofcompressormapusingthemontecarloapproachacceleratedbyanadjointbasednonlinearmethod
AT qianzhang uncertaintyquantificationofcompressormapusingthemontecarloapproachacceleratedbyanadjointbasednonlinearmethod
AT dingxiwang uncertaintyquantificationofcompressormapusingthemontecarloapproachacceleratedbyanadjointbasednonlinearmethod
AT xiuquanhuang uncertaintyquantificationofcompressormapusingthemontecarloapproachacceleratedbyanadjointbasednonlinearmethod