arXiv:2601.09251cs.LGcs.AI2026-01AAAI被引 3

用图注意力模型统一求解流固耦合系统,提升预测稳定性与精度。

HGATSolver: A Heterogeneous Graph Attention Solver for Fluid-Structure Interaction

  • 构建异质图结构,区分流体、固体和界面区域,实现物理机制嵌入。
  • 在两个自建基准和一个公开数据集上,性能超越现有方法。
  • 适合需要高精度多物理场仿真替代的工程与科学计算场景。

流固耦合(FSI)系统包含由不同偏微分方程支配的流体与固体区域,并在动态界面处耦合。基于学习的求解器虽为昂贵数值模拟提供替代方案,但现有方法难以在统一框架中捕捉FSI的异质动力学。接口耦合导致域间响应不一致,且流体与固体区域学习难度差异引发预测不稳定。为此,我们提出异质图注意力求解器(HGATSolver)。该方法将系统编码为异质图,通过流体、固体和界面三类节点与边类型直接嵌入物理结构,支持针对各物理域的专用消息传递。为稳定显式时间推进,引入物理条件门控机制,作为可学习的自适应松弛因子。此外,域间梯度平衡损失根据预测不确定性动态调节各域优化目标。在两个自建FSI基准和一个公开数据集上的实验表明,HGATSolver达到当前最优性能,为耦合多物理场系统的代理建模提供了有效框架。

原文摘要 · Abstract (English)

Fluid-structure interaction (FSI) systems involve distinct physical domains, fluid and solid, governed by different partial differential equations and coupled at a dynamic interface. While learning-based solvers offer a promising alternative to costly numerical simulations, existing methods struggle to capture the heterogeneous dynamics of FSI within a unified framework. This challenge is further exacerbated by inconsistencies in response across domains due to interface coupling and by disparities in learning difficulty across fluid and solid regions, leading to instability during prediction. To address these challenges, we propose the Heterogeneous Graph Attention Solver (HGATSolver). HGATSolver encodes the system as a heterogeneous graph, embedding physical structure directly into the model via distinct node and edge types for fluid, solid, and interface regions. This enables specialized message-passing mechanisms tailored to each physical domain. To stabilize explicit time stepping, we introduce a novel physics-conditioned gating mechanism that serves as a learnable, adaptive relaxation factor. Furthermore, an Inter-domain Gradient-Balancing Loss dynamically balances the optimization objectives across domains based on predictive uncertainty. Extensive experiments on two constructed FSI benchmarks and a public dataset demonstrate that HGATSolver achieves state-of-the-art performance, establishing an effective framework for surrogate modeling of coupled multi-physics systems.

流固耦合图神经网络多物理场代理模型

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