通过量化模型不确定性,提升气动外形优化的可靠性和速度。
Uncertainty-Aware Data-Based Method for Fast and Reliable Shape Optimization
- 用概率编码器-解码器模型预测输出不确定性
- 优化过程自动惩罚高误差样本,降低预测偏差
- 相比传统方法提速显著,适合工程快速迭代
基于数据的优化(DBO)通过预训练代理模型实现高效气动外形优化。然而,其性能高度依赖训练数据质量,优化过程中出现分布外样本会导致严重预测误差,误导优化方向。为此,本文提出不确定性感知的数据基优化(UA-DBO)框架,在优化中监测并最小化代理模型不确定性。构建了概率编码器-解码器代理模型以预测输出不确定性,并将其融入模型置信度感知的目标函数,对高误差样本进行惩罚。在两个多点优化问题上评估:改善机翼剖面的阻力发散和抖振性能。结果表明,UA-DBO能持续降低优化样本的预测误差,相较原始DBO获得更优性能提升。同时,与全计算模拟的多点优化相比,UA-DBO达到相当的优化效果,但显著加速了优化过程。
原文摘要 · Abstract (English)
Data-based optimization (DBO) offers a promising approach for efficiently optimizing shape for better aerodynamic performance by leveraging a pretrained surrogate model for offline evaluations during iterations. However, DBO heavily relies on the quality of the training database. Samples outside the training distribution encountered during optimization can lead to significant prediction errors, potentially misleading the optimization process. Therefore, incorporating uncertainty quantification into optimization is critical for detecting outliers and enhancing robustness. This study proposes an uncertainty-aware data-based optimization (UA-DBO) framework to monitor and minimize surrogate model uncertainty during DBO. A probabilistic encoder-decoder surrogate model is developed to predict uncertainties associated with its outputs, and these uncertainties are integrated into a model-confidence-aware objective function to penalize samples with large prediction errors during data-based optimization process. The UA-DBO framework is evaluated on two multipoint optimization problems aimed at improving airfoil drag divergence and buffet performance. Results demonstrate that UA-DBO consistently reduces prediction errors in optimized samples and achieves superior performance gains compared to original DBO. Moreover, compared to multipoint optimization based on full computational simulations, UA-DBO offers comparable optimization effectiveness while significantly accelerating optimization speed.
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