arXiv:2503.22252physics.flu-dyncs.LG2025-03

用可自适应的图神经网络模拟旋转结构周围的非定常流场,预测稳定且精度高。

A Mesh-Adaptive Hypergraph Neural Network for Unsteady Flow Around Oscillating and Rotating Structures

  • 部分网格随物体转动,部分固定,中间用可变形界面层连接
  • 模型在数百到上千步时间上保持预测稳定,误差可控
  • 适合需要高精度力和流场预测的复杂旋转部件仿真

图神经网络近年被引入流场代理建模领域,成功用于模拟多种流体系统的时序演化。然而现有方法多局限于域不变的情况。本文将基于图神经网络的建模扩展至绕某轴旋转的结构周围流场。提出一种代理模型:部分网格/图随结构共转,部分保持静止,二者间设置单层界面单元并允许其形变与自适应,以解决神经网络各层中信息插值困难的问题。设计专用重构与重投影方案,抵消界面单元形变及连通性变化带来的误差。在两个测试案例上验证:(i) 二维振荡机翼流场;(ii) 三维旋转立方体绕流。结果表明,模型可在数百甚至上千时间步内实现稳定滚动预测。进一步证明,通过引入稀疏压力传感器测量数据,可实现精确且误差有界的预测。除流场外,升力与阻力预测与计算流体力学结果高度吻合,凸显该框架在旋转结构流场建模中的潜力,为海洋螺旋桨等更复杂场景的图神经网络代理模型奠定基础。

原文摘要 · Abstract (English)

Graph neural networks, recently introduced into the field of fluid flow surrogate modeling, have been successfully applied to model the temporal evolution of various fluid flow systems. Existing applications, however, are mostly restricted to cases where the domain is time-invariant. The present work extends the application of graph neural network-based modeling to fluid flow around structures rotating with respect to a certain axis. Specifically, we propose to apply a graph neural network-based surrogate model with part of the mesh/graph co-rotating with the structure and part of the mesh/graph static. A single layer of interface cells are constructed at the interface between the two parts and are allowed to distort and adapt, which helps in circumventing the difficulty of interpolating information encoded by the neural network at every graph neural network layer. Dedicated reconstruction and re-projection schemes are designed to counter the error caused by the distortion and connectivity change of the interface cells. The effectiveness of our proposed framework is examined on two test cases: (i) fluid flow around a 2D oscillating airfoil, and (ii) fluid flow past a 3D rotating cube. Our results show that the model achieves stable rollout predictions over hundreds or even a thousand time steps. We further demonstrate that one could enforce accurate, error-bounded prediction results by incorporating the measurements from sparse pressure sensors. In addition to the accurate flow field predictions, the lift and drag force predictions closely match with the computational fluid dynamics calculations, highlighting the potential of the framework for modeling fluid flow around rotating structures, and paving the path towards a graph neural network-based surrogate model for more complex scenarios like flow around marine propellers.

流场建模图神经网络旋转结构代理模型

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