arXiv:2510.04325cs.LGphysics.flu-dyn2025-10

用混合架构提升气动流场扩散模型精度,误差降85%。

FoilDiff: A Hybrid Transformer Backbone for Diffusion-based Modelling of 2D Airfoil Flow Fields

  • 结合卷积与注意力机制,捕捉局部细节和全局结构
  • 在相同数据集上预测误差降低85%,不确定性更精准
  • 适合需要高精度流场模拟的飞机设计人员

准确预测翼型周围的流场对气动设计与优化至关重要。虽然计算流体动力学(CFD)模型有效但计算成本高昂,因此催生了替代模型以实现快速预测。深度学习模型如卷积神经网络(CNN)、图神经网络(GNN)和扩散模型(DMs)被广泛用于构建代理模型。扩散模型在复杂流场预测中展现出显著潜力。本文提出FoilDiff,一种基于扩散模型的混合骨干去噪网络。该设计融合卷积特征提取与变压器全局注意力,生成更具适应性和准确性的流场表示。FoilDiff采用去噪扩散隐式模型(DDIM)采样,在不增加模型泛化成本的前提下提升采样效率。通过编码雷诺数、迎角和翼型几何信息定义输入空间,实现跨多种气动条件的泛化。在与现有先进模型对比中,FoilDiff在相同数据集上平均预测误差最高降低85%,且预测不确定性更可靠。结果表明,FoilDiff不仅能提供更高精度预测,还能给出更优的不确定性校准。

原文摘要 · Abstract (English)

The accurate prediction of flow fields around airfoils is crucial for aerodynamic design and optimisation. Computational Fluid Dynamics (CFD) models are effective but computationally expensive, thus inspiring the development of surrogate models to enable quicker predictions. These surrogate models can be based on deep learning architectures, such as Convolutional Neural Networks (CNNs), Graph Neural Networks (GNNs), and Diffusion Models (DMs). Diffusion models have shown significant promise in predicting complex flow fields. In this work, we propose FoilDiff, a diffusion-based surrogate model with a hybrid-backbone denoising network. This hybrid design combines the power of convolutional feature extraction and transformer-based global attention to generate more adaptable and accurate representations of flow structures. FoilDiff takes advantage of Denoising Diffusion Implicit Model (DDIM) sampling to optimise the efficiency of the sampling process at no additional cost to model generalisation. We used encoded representations of Reynolds number, angle of attack, and airfoil geometry to define the input space for generalisation across a wide range of aerodynamic conditions. When evaluated against state-of-the-art models, FoilDiff shows significant performance improvements, with mean prediction errors reducing by up to 85\% on the same datasets. The results have demonstrated that FoilDiff can provide both more accurate predictions and better-calibrated predictive uncertainty than existing diffusion-based models.

气动模拟扩散模型流场预测

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