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arXiv 2503.07056cs.LGcs.AI

基于无分类器引导去噪扩散概率模型的气动优化生成方法

Generative method for aerodynamic optimization based on classifier-free guided denoising diffusion probabilistic model

School of Management, Hefei University of Technology(合肥工业大学管理学院)

Shisong Deng, Qiang Zhang, Zhengyang Cai

AI总结:

本文提出基于无分类器引导去噪扩散概率模型(CDDPM)的翼型逆向设计框架,通过捕捉性能指标相关性并生成压力系数分布,相比Wasserstein生成对抗网络方法精度提升33.6%,并结合全局优化与主动学习策略提供合理的性能指标组合。

摘要:

逆向设计方法通过神经网络模型直接生成满足指定性能目标的最优气动外形,已引起广泛关注。然而,当前基于生成对抗网络的翼型逆向设计最先进方法在生成和训练过程中精度不足,且难以揭示指定性能指标之间的耦合关系。为解决这些问题,本文创新性地提出了基于无分类器引导去噪扩散概率模型(CDDPM)的翼型逆向设计框架。首先,CDDPM能够有效捕捉特定性能指标之间的相关性,并通过调节无分类器引导系数,根据指定压力特征生成相应的上下表面压力系数分布。这些分布随后通过映射模型被精确转换为翼型几何外形。以经典跨声速翼型为例的实验结果表明,基于CDDPM的逆向设计能够生成多种压力系数分布,从而丰富了设计结果的多样性。与当前最先进的Wasserstein生成对抗网络方法相比,CDDPM在翼型生成任务中实现了33.6%的精度提升。此外,本文提出了一种基于全局优化算法并结合主动学习策略的实用方法来重新调整各性能指标值,旨在为逆向设计框架提供合理的性能指标值组合。该工作不仅适用于翼型设计,还具备应用于以选定性能指标为目标的通用产品部件优化过程的能力。

英文摘要:

Inverse design approach, which directly generates optimal aerodynamic shape with neural network models to meet designated performance targets, has drawn enormous attention. However, the current state-of-the-art inverse design approach for airfoils, which is based on generative adversarial network, demonstrates insufficient precision in its generating and training processes and struggles to reveal the coupling relationship among specified performance indicators. To address these issues, the airfoil inverse design framework based on the classifier-free guided denoising diffusion probabilistic model (CDDPM) is proposed innovatively in this paper. First, the CDDPM can effectively capture the correlations among specific performance indicators and, by adjusting the classifier-free guide coefficient, generate corresponding upper and lower surface pressure coefficient distributions based on designated pressure features. These distributions are then accurately translated into airfoil geometries through a mapping model. Experimental results using classical transonic airfoils as examples show that the inverse design based on CDDPM can generate a variety of pressure coefficient distributions, which enriches the diversity of design results. Compared with current state-of-the-art Wasserstein generative adversarial network methods, CDDPM achieves a 33.6% precision improvement in airfoil generating tasks. Moreover, a practical method to readjust each performance indicator value is proposed based on global optimization algorithm in conjunction with active learning strategy, aiming to provide rational value combination of performance indicators for the inverse design framework. This work is not only suitable for the airfoils design, but also has the capability to apply to optimization process of general product parts targeting selected performance indicators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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