基于条件扩散的变形结构气动热预测方法

An aeroheating prediction method for deformed structures based on conditional diffusion model

  • 摘要: 伸缩变形结构飞行器外形复杂,气动热数据分布差异较大,使代理模型难以准确捕获其物面气动热数据的分布。为了对变形结构飞行器物面气动热进行准确预测,本文基于条件扩散模型提出了一种针对变形结构气动热预测方法(heating-MLP diffusion, HMD)。该方法包括前向扩散与逆向去噪两个过程。在前向扩散过程中,对原始气动热数据进行逐步加噪,直至成为纯高斯噪声;在逆向去噪过程中,将变形结构外形和工况参数作为条件,利用全连接神经网络预测扩散过程中每步添加的噪声,从而学习隐含的气动热数据分布特性,最终实现飞行器伸缩变形机翼物面网格点的气动热预测。基于数值仿真数据的模型验证结果表明,相较于高斯过程、神经过程和全连接神经网络,基于条件扩散模型的气动热预测方法能够取得更好的预测效果,平均绝对百分比误差在10%左右。该方法可为伸缩变形结构高速飞行器机翼物面气动热计算提供一种精确预测模型。

     

    Abstract: The shape of aircraft with ‌telescopic deformation structures‌ is complex, and the distribution of ‌aerothermal‌ data varies ‌significantly‌. It is challenging for traditional surrogate models to capture the ‌aerothermal‌ data distribution of ‌telescopic structures‌, making effective prediction of ‌aerothermal heating‌ on structural surfaces difficult. Based on ‌a‌ conditional diffusion model, ‌a Heating-MLP Diffusion (HMD) method for deformable structures‌ is proposed, comprising two processes: forward diffusion and reverse denoising. In the forward diffusion process, the original ‌aerothermal‌ data is gradually ‌corrupted‌ until it becomes pure Gaussian noise. In the reverse denoising process, ‌using‌ the shape and operating condition parameters of the deformed structure as ‌conditional inputs‌, a fully connected neural network predicts the noise added at each diffusion step, thereby learning the implicit ‌aerothermal‌ data distribution characteristics and enabling ‌aerothermal heating‌ prediction on the surface of ‌aircraft telescopic wings‌. Numerical simulation data validate the proposed model. Experimental results demonstrate that compared with Gaussian processes, neural processes, and neural networks, the ‌conditional diffusion model-based‌ aerothermal prediction method achieves higher accuracy, with a mean absolute percentage error of approximately 10%. This proves its effectiveness in predicting ‌aerothermal heating‌ on ‌high-speed aircraft‌ wings with telescopic deformation structures.

     

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