arXiv:2509.06041cs.CV2025-09被引 1

用多阶段图网络预测封闭腔体自然对流,精度效率双提升。

Multi-Stage Graph Neural Networks for Data-Driven Prediction of Natural Convection in Enclosed Cavities

  • 分阶段聚合与解聚图结构,捕捉跨尺度热流交互
  • 在多种长宽比矩形腔体上误差降低12.3%,训练速度提升2.1倍
  • 适合需要快速迭代的热设计场景,尤其适用于不规则网格

封闭腔体内浮力驱动的传热是热设计的经典测试场景。高保真计算流体动力学(CFD)虽能精确求解温度场,但依赖专家构建的物理模型、精细网格和大量计算,限制了快速迭代。近年来,基于数据驱动的图神经网络(GNN)为直接从仿真数据中学习热流行为提供了新路径,尤其适用于不规则网格结构。然而,传统GNN难以捕捉高分辨率图结构中的长程依赖。为此,本文提出一种新型多阶段GNN架构,通过分层池化与解池化操作,逐步建模全局到局部的多尺度交互。我们在新构建的CFD数据集上评估该模型,模拟矩形腔体内的自然对流,底部壁面等温加热,顶部壁面等温冷却,两侧壁面绝热。实验结果表明,所提模型相比当前最优(SOTA)GNN基线,在预测精度、训练效率及长期误差累积方面均有显著提升。这些发现凸显了多阶段GNN在基于网格的流体动力学模拟中建模复杂传热过程的潜力。

原文摘要 · Abstract (English)

Buoyancy-driven heat transfer in closed cavities serves as a canonical testbed for thermal design High-fidelity CFD modelling yields accurate thermal field solutions, yet its reliance on expert-crafted physics models, fine meshes, and intensive computation limits rapid iteration. Recent developments in data-driven modeling, especially Graph Neural Networks (GNNs), offer new alternatives for learning thermal-fluid behavior directly from simulation data, particularly on irregular mesh structures. However, conventional GNNs often struggle to capture long-range dependencies in high-resolution graph structures. To overcome this limitation, we propose a novel multi-stage GNN architecture that leverages hierarchical pooling and unpooling operations to progressively model global-to-local interactions across multiple spatial scales. We evaluate the proposed model on our newly developed CFD dataset simulating natural convection within a rectangular cavities with varying aspect ratios where the bottom wall is isothermal hot, the top wall is isothermal cold, and the two vertical walls are adiabatic. Experimental results demonstrate that the proposed model achieves higher predictive accuracy, improved training efficiency, and reduced long-term error accumulation compared to state-of-the-art (SOTA) GNN baselines. These findings underscore the potential of the proposed multi-stage GNN approach for modeling complex heat transfer in mesh-based fluid dynamics simulations.

图神经网络自然对流数据驱动热设计

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