用模拟数据隐含物理先验,从稀疏观测重建温度场
Learning to Reconstruct Temperature Field from Sparse Observations with Implicit Physics Priors
- 用参考仿真数据构建隐式物理先验,融合真实观测
- 在单/多条件及少样本下均超越现有方法
- 适合电子、航天等需高精度热监测的工程场景
热源系统温度场重建(TFR-HSS)对电子器件和航空航天结构的热监测与可靠性评估至关重要。然而,测量成本高及工况变化导致的温度场分布偏移,给模型泛化能力带来挑战。现有基于深度神经网络的方法通常仅依赖目标稀疏观测进行一对一回归,未能有效利用蕴含热学知识的参考仿真数据。为此,本文提出IPTR框架,将参考仿真中的稀疏观测-温度场对作为先验,增强物理理解。设计双分支物理嵌入模块:一个基于交叉注意力的隐式物理引导分支,从参考数据中提炼潜在物理规律;另一个基于傅里叶层的辅助编码分支,捕捉目标观测的空间特征。融合表示后解码重建完整温度场。在单条件、多条件及少样本设置下的大量实验表明,IPTR持续优于现有方法,在重建精度与泛化能力上达到当前最优水平。
原文摘要 · Abstract (English)
Accurate reconstruction of temperature field of heat-source systems (TFR-HSS) is crucial for thermal monitoring and reliability assessment in engineering applications such as electronic devices and aerospace structures. However, the high cost of measurement acquisition and the substantial distributional shifts in temperature field across varying conditions present significant challenges for developing reconstruction models with robust generalization capabilities. Existing DNNs-based methods typically formulate TFR-HSS as a one-to-one regression problem based solely on target sparse measurements, without effectively leveraging reference simulation data that implicitly encode thermal knowledge. To address this limitation, we propose IPTR, an implicit physics-guided temperature field reconstruction framework that introduces sparse monitoring-temperature field pair from reference simulations as priors to enrich physical understanding. To integrate both reference and target information, we design a dual physics embedding module consisting of two complementary branches: an implicit physics-guided branch employing cross-attention to distill latent physics from the reference data, and an auxiliary encoding branch based on Fourier layers to capture the spatial characteristics of the target observation. The fused representation is then decoded to reconstruct the full temperature field. Extensive experiments under single-condition, multi-condition, and few-shot settings demonstrate that IPTR consistently outperforms existing methods, achieving state-of-the-art reconstruction accuracy and strong generalization capability.
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