arXiv:2509.16139cs.LG2025-09

用多场时空模型精准预测多孔材料中冲击波传播的极端响应。

Spatio-temporal, multi-field deep learning of shock propagation in meso-structured media

  • 构建多场时空模型,同步演化七种耦合物理场。
  • 预测误差低至1.4%,可捕捉反常密度下降和热点形成。
  • 适用于行星防御与惯性约束聚变中的实时优化设计。

预测多孔及结构化晶格材料在高能密度物理中的极端流体动力学响应是核心挑战,需在多尺度下解析冲击诱导的孔洞坍塌、巴罗克莱尔涡度以及异常动能与热力学状态。传统高保真水动力模拟在行星防御和惯性约束聚变等大规模设计探索中计算成本过高。本文提出多场时空模型(MSTM),克服标准机器学习代理模型无法捕捉冲击传播中陡峭梯度与非线性场耦合的问题。该模型基于高保真多尺度多物理场数据训练,同时演化压力、温度、密度、速度等七个耦合热力学与运动场,精确预测反常响应,如冲击后密度反常降低和局部热点形成,均方根误差低至1.4%。关键在于,其多场框架在长时间自回归推演中保持物理一致性与界面稳定性,相比单场模型结构保真度提升94%。该框架实现求解时间缩短1000倍,为介观结构介质中能量耗散与动量传递的实时分析与优化提供可行路径。

原文摘要 · Abstract (English)

Predicting the extreme hydrodynamic response of porous and architected lattice materials is a fundamental challenge in high energy density physics, where shock-induced pore collapse, baroclinic vorticity, and anomalous kinetic and thermodynamic states must be resolved across multiple scales. Traditional high-fidelity hydrocodes are computationally prohibitive for large-scale design exploration in applications like planetary defense and inertial confinement fusion. We present a multi-field spatio-temporal model (MSTM) designed to overcome the limitations of standard machine learning surrogates, which often fail to capture the sharp gradients and non-linear field couplings characteristic of shock propagation. By training on high-fidelity, multiscale multiphysics data, MSTM simultaneously evolves seven coupled thermodynamic and kinetic fields - including pressure, temperature, density, and velocity - across complex material architectures. Our framework demonstrates the ability to accurately predict anomalous responses, such as counterintuitive post-shock density reductions and localized hotspot formation, with mean root mean squared errors as low as 1.4%. Crucially, the model's multi-field formulation maintains physical consistency and interface stability over long autoregressive rollouts, outperforming single-field models by 94% in structural fidelity. This framework enables a 1000x reduction in time to solution, providing a practical pathway for the real-time analysis and optimization of energy dissipation and momentum transfer in meso-structured media.

冲击波传播多场建模机器学习高能物理

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