arXiv:2604.11263physics.flu-dyncs.LG2026-04

用扩散模型预测机翼气压分布,更准捕捉激波和控制面突变。

Signal-Aware Conditional Diffusion Surrogates for Transonic Wing Pressure Prediction

  • 基于主成分重构机翼表面数据,构建可逆的非截断表示框架。
  • 引入信号感知训练目标,提升强压差区域的预测精度。
  • 采样波动与误差高度相关,可作可靠性定性判断依据。

高精度且高效的气动表面压力场代理模型对加速飞机设计与分析至关重要,但传统点损失训练的确定性回归器常会平滑尖锐的非线性特征。本文提出一种条件去噪扩散概率模型,用于预测在马赫数、迎角及四个控制面偏转变化下NASA通用研究模型机翼的表面压力分布。该框架通过主成分表示处理非结构化表面数据,实现无截断、可逆的线性重参数化,支持全连接架构。通过将重建损失传播至扩散过程,推导出随时间步调整的加权策略,显著提升强压差区域的保真度。通过对多次条件生成的采样过程分析,引入局部可靠性指数与全局可靠性指数,关联采样波动与重构误差。相比所考虑的确定性基线,该方法降低均方绝对误差,并更好重建吸力峰值、激波结构及控制面间断。采样波动与代理误差高度对应,支持其作为定性可靠性指标,而非校准的不确定性量化。

原文摘要 · Abstract (English)

Accurate and efficient surrogate models for aerodynamic surface pressure fields are essential for accelerating aircraft design and analysis, yet deterministic regressors trained with pointwise losses often smooth sharp nonlinear features. This work presents a conditional denoising diffusion probabilistic model for predicting surface pressure distributions on the NASA Common Research Model wing under varying conditions of Mach number, angle of attack, and four control surface deflections. The framework operates on unstructured surface data through a principal component representation used as a non-truncated, reversible linear reparameterization of the pressure field, enabling a fully connected architecture. A signal-aware training objective is derived by propagating a reconstruction loss through the diffusion process, yielding a timestep-dependent weighting that improves fidelity in regions with strong pressure gradients. The stochastic sampling process is analyzed through repeated conditional generations, and two diagnostic metrics are introduced, the Local Reliability Index and Global Reliability Index, to relate sampling-induced spread to reconstruction error. Relative to the considered deterministic baselines, the proposed formulation reduces mean absolute error and improves the reconstruction of suction peaks, shock structures, and control surface discontinuities. The sampling-induced spread exhibits strong correspondence with surrogate error, supporting its interpretation as a qualitative reliability indicator rather than calibrated uncertainty quantification.

气动仿真扩散模型代理模型

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