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An adaptive region segmentation combining surrogate model applied to correlate design variables and performance parameters in a transonic axial compressor

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Abstract

Surrogate models have been widely applied to correlate design variables and performance parameters in turbomachinery optimization applications. With more design variables and uncertain factors taken into account in an optimization design problem, the mathematical relations between the design variables and the performance parameters might present linear, low-order nonlinear or even high-order nonlinear characteristics, and are usually analytically unknown. Therefore, it is required that surrogate models have high adaptability and prediction accuracy for both the linear and nonlinear characteristics. The paper mainly investigates the effectiveness of an adaptive region segmentation combining surrogate model based on support vector regression and kriging model applied to a transonic axial compressor to approximate the complicated relationships between geometrical variables and objective performance outputs with different sampling methods and sizes. The purpose is to explore the prediction accuracy and computational efficiency of this adaptive surrogate model in real turbomachinery applications. Three different sampling techniques are studied: (1) uniform design; (2) Latin hypercube sampling method; (3) Sobol quasi-random design. For the low dimensional case with five variables, the adaptive region segmentation combining surrogate model performs better (not worse) than the single component surrogate in terms of prediction accuracy and computational efficiency. In the meanwhile, it is also noted that the uniform design applied to the adaptive surrogate model has more advantages over the Latin hypercube sampling method especially for the small sample size cases, both performing better than the Sobol quasi-random design. Moreover, a high dimensional case with 12 variables is also utilized to further validate the prediction advantage of the adaptive region segmentation combining surrogate model over the single component surrogate, and the computational results favor it. Overall, the adaptive region segmentation combining surrogate model has produced acceptable to high prediction accuracy in presenting complex relationships between the geometrical variables and the objective performance outputs and performed robustly for a transonic axial compressor problem.

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Acknowledgements

The authors would like to gratefully acknowledge the support by the National Natural Science Foundation of China (Nos. 51636001 and 51706008), China Postdoctoral Science Foundation (No. 2018M641150) and Aeronautics Power Foundation (No. 6141B090315).

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Authors and Affiliations

  1. National Key Laboratory of Science and Technology on Aero-Engine Aero-Thermodynamics, School of Energy and Power Engineering, Beihang University, Beijing, 100191, China

    Hanan Lu, Qiushi Li & Tianyu Pan

  2. Department of Mechanical Engineering and Materials Science, Washington University in St. Louis, St. Louis, MO, 63130, USA

    Hanan Lu & Ramesh K. Agarwal

Authors
  1. Hanan Lu
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  2. Qiushi Li
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  4. Ramesh K. Agarwal
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Correspondence to Tianyu Pan.

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Lu, H., Li, Q., Pan, T. et al. An adaptive region segmentation combining surrogate model applied to correlate design variables and performance parameters in a transonic axial compressor. Engineering with Computers 37, 275–291 (2021). https://doi.org/10.1007/s00366-019-00823-z

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  • DOI: https://doi.org/10.1007/s00366-019-00823-z

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