| Citation: | CHENG Ming, HE Lei, LIN Jiazhe, et al. Research on fast inverse design of airfoil based on denoising diffusion model[J]. Journal of Aerospace Power, 2026, 41(4):20240425 doi: 10.13224/j.cnki.jasp.20240425 |
A fast inverse design method of airfoil based on denoising diffusion probability model was established, which directly used coordinates as the description mode of airfoil, and utilized the powerful data feature learning and sample generation ability of denoising diffusion probability model to realize fast inverse design of airfoil under aerodynamic performance control. The research was carried out by the following steps: firstly, the basic airfoil data set was constructed based on UIUC airfoil database; using the basic airfoil data set as input, the unconditional diffusion model was trained; then, based on the unconditional diffusion model, a large number of new airfoils were generated, and an extended data set was established to increase the diversity of data; then the aerodynamic performance of airfoil was calculated by Xfoil airfoil analysis software. Taking airfoil and aerodynamic performance as inputs, the conditional diffusion model was trained, and the rapid airfoil reverse design based on this model was finally realized. The experimental results showed that the design of a single airfoil based on the denoising diffusion model took only 1.25 s, and the aerodynamic performance deviation from the tag airfoil was controlled within 6%. At the same time, the generated airfoil shapes were diverse, helping to provide conditions for more efficient airfoil design.
| [1] |
何磊, 钱炜祺, 刘滔, 等. 基于深度学习的翼型反设计方法[J]. 航空动力学报, 2020, 35(9): 1909-1917. HE Lei, QIAN Weiqi, LIU Tao, et al. Inverse design method of airfoil based on deep learning[J]. Journal of Aerospace Power, 2020, 35(9): 1909-1917. (in Chinese doi: 10.13224/j.cnki.jasp.2020.09.013
HE Lei, QIAN Weiqi, LIU Tao, et al. Inverse design method of airfoil based on deep learning[J]. Journal of Aerospace Power, 2020, 35(9): 1909-1917. (in Chinese) doi: 10.13224/j.cnki.jasp.2020.09.013
|
| [2] |
徐华舫. 空气动力学基础[M]. 北京: 北京航空学院出版社, 1987. XU Huafang. Fundamentals of aerodynamics[M]. Beijing: Beijing University of Aeronautics Press, 1987. (in Chinese
XU Huafang. Fundamentals of aerodynamics[M]. Beijing: Beijing University of Aeronautics Press, 1987. (in Chinese)
|
| [3] |
BARRETT T R, BRESSLOFF N W, KEANE A J. Airfoil shape design and optimization using multifidelity analysis and embedded inverse design[J]. AIAA Journal, 2006, 44(9): 2051-2060. doi: 10.2514/1.18766
|
| [4] |
MASTERS D A, TAYLOR N J, RENDALL T C S, et al. Geometric comparison of aerofoil shape parameterization methods[J]. AIAA Journal, 2017, 55(5): 1575-1589. doi: 10.2514/1.J054943
|
| [5] |
高正红, 王超. 飞行器气动外形设计方法研究与进展[J]. 空气动力学学报, 2017, 35(4): 516-528, 454. GAO Zhenghong, WANG Chao. Aerodynamic shape design methods for aircraft: status and trends[J]. Acta Aerodynamica Sinica, 2017, 35(4): 516-528, 454. (in Chinese doi: 10.7638/kqdlxxb-2017.0058
GAO Zhenghong, WANG Chao. Aerodynamic shape design methods for aircraft: status and trends[J]. Acta Aerodynamica Sinica, 2017, 35(4): 516-528, 454. (in Chinese) doi: 10.7638/kqdlxxb-2017.0058
|
| [6] |
白俊强, 邱亚松, 华俊. 改进型Gappy POD翼型反设计方法[J]. 航空学报, 2013, 34(4): 762-771. BAI Junqiang, QIU Yasong, HUA Jun. Improved airfoil inverse design method based on Gappy POD[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(4): 762-771. (in Chinese doi: 10.7527/S1000-6893.2013.0135
BAI Junqiang, QIU Yasong, HUA Jun. Improved airfoil inverse design method based on Gappy POD[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(4): 762-771. (in Chinese) doi: 10.7527/S1000-6893.2013.0135
|
| [7] |
LI Jiaozan, GAO Zhenghong. Inverse design method of airfoil embedded optimization of pressure distribution[C]//2010 Third International Conference on Information and Computing. Piscataway, US: IEEE, 2010: 101-104.
|
| [8] |
LI Xiujuan, LIAO Wenhe, LIU Hao. An inverse method for 3D aerodynamic design of wing shape[C]//2009 IEEE 10th International Conference on Computer-Aided Industrial Design & Conceptual Design. Piscataway, US: IEEE, 2010: 625-630.
|
| [9] |
WICKRAMASINGHE U K, CARRESE R, LI Xiaodong. Designing airfoils using a reference point based evolutionary many-objective particle swarm optimization algorithm[C]//IEEE Congress on Evolutionary Computation. Piscataway, US: IEEE, 2010: 1-8.
|
| [10] |
刘俊, 宋文萍, 韩忠华, 等. Kriging模型在翼型反设计中的应用研究[J]. 空气动力学学报, 2014, 32(4): 518-526. LIU Jun, SONG Wenping, HAN Zhonghua, et al. Kriging-based airfoil inverse design[J]. Acta Aerodynamica Sinica, 2014, 32(4): 518-526. (in Chinese doi: 10.7638/kqdlxxb-2012.0165
LIU Jun, SONG Wenping, HAN Zhonghua, et al. Kriging-based airfoil inverse design[J]. Acta Aerodynamica Sinica, 2014, 32(4): 518-526. (in Chinese) doi: 10.7638/kqdlxxb-2012.0165
|
| [11] |
AHN T, KIM H J, KIM C, et al. Transonic wing design using genetic optimization of wing planform and target pressures[C]//IEEE SMC’99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics. Piscataway, US: IEEE, 2002: 469-474.
|
| [12] |
SUN Gang, SUN Yanjie, WANG Shuyue. Artificial neural network based inverse design: Airfoils and wings[J]. Aerospace Science and Technology, 2015, 42: 415-428. doi: 10.1016/j.ast.2015.01.030
|
| [13] |
王超杰, 何磊, 李川, 等. 基于注意力机制的翼型反设计方法[J]. 航空动力学报, 2025, 40(1): 20230106. WANG Chaojie, HE Lei, LI Chuan, et al. Airfoil reverse design method based on self-attention mechanism[J]. Journal of Aerospace Power, 2025, 40(1): 20230106. (in Chinese doi: 10.13224/j.cnki.jasp.20230106
WANG Chaojie, HE Lei, LI Chuan, et al. Airfoil reverse design method based on self-attention mechanism[J]. Journal of Aerospace Power, 2025, 40(1): 20230106. (in Chinese) doi: 10.13224/j.cnki.jasp.20230106
|
| [14] |
吴明雨, 陈志华, 邱志明, 等. 条件生成对抗网络的翼型反设计方法[J]. 宇航学报, 2023, 44(10): 1512-1521. WU Mingyu, CHEN Zhihua, QIU Zhiming, et al. An inverse design method of airfoil using conditional generative adversarial network[J]. Journal of Astronautics, 2023, 44(10): 1512-1521. (in Chinese doi: 10.7527/S1000-6893.2024.31182
WU Mingyu, CHEN Zhihua, QIU Zhiming, et al. An inverse design method of airfoil using conditional generative adversarial network[J]. Journal of Astronautics, 2023, 44(10): 1512-1521. (in Chinese) doi: 10.7527/S1000-6893.2024.31182
|
| [15] |
SAMAREH J A. Survey of shape parameterization techniques for high-fidelity multidisciplinary shape optimization[J]. AIAA journal, 2001, 39(5): 877-884. doi: 10.2514/2.1391
|
| [16] |
HO J, JAIN A, ABBEEL P. Denoising diffusion probabilistic models[J]. Advances in neural information processing systems, 2020, 33: 6840-6851.
|
| [17] |
SONG Jiaming, MENG Chenlin, ERMON S. Denoising diffusion implicit models [EB/OL]. (2022-11-05)[2026-01-20]. https://arxiv.org/abs/2010.02502.
|
| [18] |
NICHOL A, DHARIWAL P. Improved Denoising Diffusion Probabilistic Models [EB/OL]. (2021-02-18)[2026-01-20]. https://arxiv.org/abs/2102.09672.
|
| [19] |
DHARIWAL P, NICHOL A. Diffusion models beat GANs on image synthesis[EB/OL]. (2021-06-01)[2026-01-20] https://arxiv.org/abs/2105.05233.
|
| [20] |
刘泽润, 尹宇飞, 薛文灏, 等. 基于扩散模型的条件引导图像生成综述[J]. 浙江大学学报(理学版), 2023, 50(6): 651-667. LIU Zerun, YIN Yufei, XUE Wenhao, et al. A review of conditional image generation based on diffusion models[J]. Journal of Zhejiang University (Science Edition), 2023, 50(6): 651-667. (in Chinese doi: 10.3785/j.issn.1008-9497.2023.06.001
LIU Zerun, YIN Yufei, XUE Wenhao, et al. A review of conditional image generation based on diffusion models[J]. Journal of Zhejiang University (Science Edition), 2023, 50(6): 651-667. (in Chinese) doi: 10.3785/j.issn.1008-9497.2023.06.001
|
| [21] |
HO J, SALIMANS T. Classifier-free diffusion guidance[EB/OL]. (2022-07-26)[2026-01-20] https://arxiv.org/abs/2207.12598.
|