航空学报2025，Vol.46Issue(10)：105-119,15.DOI:10.7527/S1000-6893.2025.31180
基于潜在扩散模型的翼型参数化方法
Airfoil parameterization method based on latent diffusion model
张睿韬 1王聪 1陶俊 1王立悦 1孙刚1
作者信息
- 1. 复旦大学 航空航天系,上海 200433
- 折叠
摘要
Abstract
To alleviate the curse of dimensionality problem in aerodynamic shape optimization and improve the repre-sentation capability as well as optimization efficiency of parameterization method,this paper proposes a new airfoil pa-rameterization 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 meth-ods,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.关键词
扩散模型/自编码器/类别/形状函数变换/翼型参数化/气动优化设计Key words
diffusion model/autoencoder/class-shape transformation(CST)/airfoil parameterization/aerody-namic optimization design分类
航空航天引用本文复制引用
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):105-119,15.
