飞行器设计生成式模型专栏

基于潜在扩散模型的翼型参数化方法

  • 张睿韬 ,
  • 王聪 ,
  • 陶俊 ,
  • 王立悦 ,
  • 孙刚
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  • 复旦大学 航空航天系,上海 200433
.E-mail: gang_sun@fudan.edu.cn

收稿日期: 2024-09-10

  修回日期: 2024-12-11

  录用日期: 2025-01-14

  网络出版日期: 2025-02-10

Airfoil parameterization method based on latent diffusion model

  • Ruitao ZHANG ,
  • Cong WANG ,
  • Jun TAO ,
  • Liyue WANG ,
  • Gang SUN
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  • Department of Aeronautics and Astronautics,Fudan University,Shanghai 200433,China

Received date: 2024-09-10

  Revised date: 2024-12-11

  Accepted date: 2025-01-14

  Online published: 2025-02-10

摘要

为缓解气动外形优化设计中的“维数灾难”问题,提高参数化方法的表示能力和气动优化效率,基于类别/形状函数变换方法(CST)、自编码器(AE)以及去噪扩散隐式模型(DDIM),提出了一种基于潜在扩散模型的翼型参数化方法(LDM)。随后,分析了LDM方法生成翼型样本的几何质量,研究了该方法不同潜在维度对样本分布的影响,对比了该方法与CST-AE、PCA、FFD、CST这4种参数化方法的翼型拟合精度和表示能力,并开展翼型气动优化设计以验证其性能。结果表明,LDM方法可以生成光滑、有效的翼型样本,与其他参数化方法相比,该方法对翼型具有较精确的描述能力与较强的表示能力。此外,该方法在翼型气动优化过程中具有较快的收敛速度与较短的优化耗时,优化结果较好且优化过程更为稳定。未来,该方法具有拓展至翼段、短舱、风扇等复杂外形气动优化设计过程的潜力。

本文引用格式

张睿韬 , 王聪 , 陶俊 , 王立悦 , 孙刚 . 基于潜在扩散模型的翼型参数化方法[J]. 航空学报, 2025 , 46(10) : 631180 -631180 . DOI: 10.7527/S1000-6893.2025.31180

Abstract

To alleviate the curse of dimensionality problem in aerodynamic shape optimization and improve the representation capability as well as optimization efficiency of parameterization method, this paper proposes a new airfoil parameterization method named Latent Diffusion Model (LDM), which combines Class-Shape Transformation (CST), Autoencoder (AE), and Denoising Diffusion Implicit Model (DDIM). The geometric quality of the airfoils generated by the proposed method is analyzed. Then, the effect of different latent dimensions on the distribution of the samples is examined. Next, the fitting accuracy and the representational capability of LDM is compared with those of four different parameterization methods: CST-AE, Principal Component Analysis (PCA), Free Form Deformation (FFD), and CST. Finally, airfoil aerodynamic optimization is conducted to verify the performance of the LDM method. The results show that the LDM can generate smooth and acceptable airfoil samples. Compared with other parameterization methods, this method offers a more accurate description and stronger representation capability for airfoils. Additionally, the LDM demonstrates faster convergence and shorter optimization time. The optimized airfoil exhibits better aerodynamic performance and a more stable optimization process. In the future, this method has the potential to be extended to aerodynamic optimization for more complex shapes, such as wing segments, nacelles and fans.

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