arXiv:2601.23177cs.LG2026-01被引 9

用Transformer改进网格模拟,实现工业级高精度力学仿真

MeshGraphNet-Transformer: Scalable Mesh-based Learned Simulation for Solid Mechanics

  • 结合Transformer与网格图网络,直接建模远距离物理交互
  • 在高分辨率网格上实现精准力学模拟,参数量仅为竞品的几分之一
  • 适合需要高精度、复杂边界条件的工业级结构动力学仿真

我们提出MeshGraphNet-Transformer(MGN-T),一种融合Transformer全局建模能力与网格图网络几何先验的新架构,同时保持基于网格的图表示。MGN-T克服了标准MGN在大规模高分辨率网格上因迭代消息传递导致的长程信息传播效率低下问题。通过物理注意力Transformer作为全局处理器,可同时更新所有节点状态,并显式保留节点与边属性。该方法直接捕捉长程物理相互作用,无需深层消息传递堆叠或分层降采样网格,从而实现对具有不同几何形状、拓扑结构和边界条件的高分辨率网格的高效学习,达到工业级应用规模。实验表明,MGN-T成功处理冲击动力学等工业级网格场景,而标准MGN因消息传递覆盖不足而失效。该方法能准确建模自接触、塑性及多变量输出(包括内部本构塑性变量)。此外,MGN-T在经典基准测试中优于现有最优方法,在保持实用效率的同时实现更高精度,且仅需竞品所需参数的极小部分。

原文摘要 · Abstract (English)

We present MeshGraphNet-Transformer (MGN-T), a novel architecture that combines the global modeling capabilities of Transformers with the geometric inductive bias of MeshGraphNets, while preserving a mesh-based graph representation. MGN-T overcomes a key limitation of standard MGN, the inefficient long-range information propagation caused by iterative message passing on large, high-resolution meshes. A physics-attention Transformer serves as a global processor, updating all nodal states simultaneously while explicitly retaining node and edge attributes. By directly capturing long-range physical interactions, MGN-T eliminates the need for deep message-passing stacks or hierarchical, coarsened meshes, enabling efficient learning on high-resolution meshes with varying geometries, topologies, and boundary conditions at an industrial scale. We demonstrate that MGN-T successfully handles industrial-scale meshes for impact dynamics, a setting in which standard MGN fails due message-passing under-reaching. The method accurately models self-contact, plasticity, and multivariate outputs, including internal, phenomenological plastic variables. Moreover, MGN-T outperforms state-of-the-art approaches on classical benchmarks, achieving higher accuracy while maintaining practical efficiency, using only a fraction of the parameters required by competing baselines.

力学仿真网格神经网络Transformer工业应用

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