用图神经网络从稀疏数据重建动态变形流场,效果优于传统方法。
Flow reconstruction in time-varying geometries using graph neural networks
- 基于图注意力卷积网络,结合特征传播与有效性掩码处理极稀疏输入。
- 在未见的高分辨率模拟与实验数据上,重建误差更低且能捕捉湍流细节。
- 可处理14倍于训练域的更大流场,适合复杂工程场景的流场补全。
本文提出一种图注意力卷积网络(GACN),用于在时间变化几何中从极稀疏数据中重构流场。模型引入特征传播算法作为预处理,利用邻近节点信息初始化缺失特征,并采用二值有效性掩码区分原始与传播数据点,提升对稀疏输入的学习能力。在真实发动机工况下的直接数值模拟(DNS)数据集上训练,GACN在不同分辨率和域大小下均表现稳健,可有效处理非结构化数据与可变输入规模。测试涵盖未见过的DNS数据及未经训练的粒子图像测速(PIV)实验数据。对比分析显示,GACN在所有测试集上均优于传统卷积神经网络(CNN)与三次插值法,实现更低重建误差并更准确捕捉细尺度湍流结构。尤其在比训练域大至14倍的流场中,其性能优势随域增大而增强。
原文摘要 · Abstract (English)
The paper presents a Graph Attention Convolutional Network (GACN) for flow reconstruction from very sparse data in time-varying geometries. The model incorporates a feature propagation algorithm as a preprocessing step to handle extremely sparse inputs, leveraging information from neighboring nodes to initialize missing features. In addition, a binary indicator is introduced as a validity mask to distinguish between the original and propagated data points, enabling more effective learning from sparse inputs. Trained on a unique data set of Direct Numerical Simulations (DNS) of a motored engine at a technically relevant operating condition, the GACN shows robust performance across different resolutions and domain sizes and can effectively handle unstructured data and variable input sizes. The model is tested on previously unseen DNS data as well as on an experimental data set from Particle Image Velocimetry (PIV) measurements that were not considered during training. A comparative analysis shows that the GACN consistently outperforms both a conventional Convolutional Neural Network (CNN) and cubic interpolation methods on the DNS and PIV test sets by achieving lower reconstruction errors and better capturing fine-scale turbulent structures. In particular, the GACN effectively reconstructs flow fields from domains up to 14 times larger than those observed during training, with the performance advantage increasing for larger domains.
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