Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces

In this paper, a multi-objective optimization strategy for efficient design of turbomachinery blades using sparse active subspaces is implemented for a turbofan stage design. The proposed strategy utilized sparse polynomial chaos expansion on a limited dataset to generate a function from which the d...

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Main Authors: Richard Amankwa Adjei, Chengwei Fan
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Engineering Applications of Computational Fluid Mechanics
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Online Access:https://www.tandfonline.com/doi/10.1080/19942060.2024.2325488
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author Richard Amankwa Adjei
Chengwei Fan
author_facet Richard Amankwa Adjei
Chengwei Fan
author_sort Richard Amankwa Adjei
collection DOAJ
description In this paper, a multi-objective optimization strategy for efficient design of turbomachinery blades using sparse active subspaces is implemented for a turbofan stage design. The proposed strategy utilized sparse polynomial chaos expansion on a limited dataset to generate a function from which the differential and the covariance matrix can be obtained. Active subspace was used to compute the active variables via singular value decomposition and a hybrid polynomial correlated function expansion was used to construct a surrogate model on the active subspace. Coupled with freeform method and multi-objective genetic algorithm, an automated optimization loop was run at a single operating condition. An improvement in stage efficiency and total pressure ratio of 2.97% and 1.15% was achieved for the optimum design compared with the baseline. Additionally, total pressure loss coefficient decreased by 5.88%, exit flow angle by 34.65% and shock strength by 5.32%. The coupled effect of change in stagger angle, forward sweep, forward lean, and chord length reduced the recirculation at the hub, and blockage at the shroud due the tip leakage flow by decreasing the blade loading. The threshold value hyperparameter was found to be the most influential and must be accurately determined.
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issn 1994-2060
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publishDate 2024-12-01
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series Engineering Applications of Computational Fluid Mechanics
spelling doaj-art-97745f659efa47d0ac7eeed02198eb8e2024-12-09T09:43:45ZengTaylor & Francis GroupEngineering Applications of Computational Fluid Mechanics1994-20601997-003X2024-12-0118110.1080/19942060.2024.2325488Multi-objective design optimization of a transonic axial fan stage using sparse active subspacesRichard Amankwa Adjei0Chengwei Fan1Control Systems Laboratory, University of Nottingham Ningbo China, Ningbo, People’s Republic of ChinaZhejiang University – University of Illinois Urbana-Champaign Institute, Haining, People’s Republic of ChinaIn this paper, a multi-objective optimization strategy for efficient design of turbomachinery blades using sparse active subspaces is implemented for a turbofan stage design. The proposed strategy utilized sparse polynomial chaos expansion on a limited dataset to generate a function from which the differential and the covariance matrix can be obtained. Active subspace was used to compute the active variables via singular value decomposition and a hybrid polynomial correlated function expansion was used to construct a surrogate model on the active subspace. Coupled with freeform method and multi-objective genetic algorithm, an automated optimization loop was run at a single operating condition. An improvement in stage efficiency and total pressure ratio of 2.97% and 1.15% was achieved for the optimum design compared with the baseline. Additionally, total pressure loss coefficient decreased by 5.88%, exit flow angle by 34.65% and shock strength by 5.32%. The coupled effect of change in stagger angle, forward sweep, forward lean, and chord length reduced the recirculation at the hub, and blockage at the shroud due the tip leakage flow by decreasing the blade loading. The threshold value hyperparameter was found to be the most influential and must be accurately determined.https://www.tandfonline.com/doi/10.1080/19942060.2024.2325488Sparse polynomial chaos expansionactive subspacestransonic fanmulti-objective optimizationsingular value decompositionaeroengines
spellingShingle Richard Amankwa Adjei
Chengwei Fan
Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces
Engineering Applications of Computational Fluid Mechanics
Sparse polynomial chaos expansion
active subspaces
transonic fan
multi-objective optimization
singular value decomposition
aeroengines
title Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces
title_full Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces
title_fullStr Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces
title_full_unstemmed Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces
title_short Multi-objective design optimization of a transonic axial fan stage using sparse active subspaces
title_sort multi objective design optimization of a transonic axial fan stage using sparse active subspaces
topic Sparse polynomial chaos expansion
active subspaces
transonic fan
multi-objective optimization
singular value decomposition
aeroengines
url https://www.tandfonline.com/doi/10.1080/19942060.2024.2325488
work_keys_str_mv AT richardamankwaadjei multiobjectivedesignoptimizationofatransonicaxialfanstageusingsparseactivesubspaces
AT chengweifan multiobjectivedesignoptimizationofatransonicaxialfanstageusingsparseactivesubspaces