基于物理信息神经网络的烧蚀材料温度演化计算

Physics-Informed Neural Network–Based Computation of Temperature Evolution in Ablative Materials

  • 摘要: 烧蚀材料热防护层的温度场高效、高精度预测是高速飞行器热防护系统(Thermal Protection System, TPS)高效设计与可靠性提升的基础。针对烧蚀材料耦合化学反应、烧蚀热解的热传导问题,本文基于物理信息神经网络(Physics-Informed Neural Networks, PINN)方法构建了一种烧蚀材料温度场快速预测框架。该框架将空间坐标、时间变量作为模型输入,中间层采用双分支结构学习材料温度演化;基于烧蚀材料热传导方程残差、阿伦乌尼斯方程残差、初始条件残差和边界条件残差构建联合损失函数,并通过调整各残差的权重以平衡各项物理约束。与有限体积法(Finite Volume Method, FVM)计算方法对比,本框架实现了误差在6%以内的前提下,预示效率提升三个时间量级;为烧蚀材料热防护设计的快速迭代提供了一种切实可行的高效预示手段。

     

    Abstract: A high-efficiency, high-accuracy prediction of the thermal field in ablative materials forms the foundation for the effective design and reliability enhancement of thermal protection systems (TPS) for hypersonic vehicles. To address the coupled chemical reactions and pyrolysis heat-conduction problem inherent in ablative materials, we propose a Physics-Informed Neural Network (PINN) framework for rapid prediction of the temperature field. In this framework, spatial coordinate and time serve as model inputs, and a dual-branch architecture is employed in the latent layers to concurrently learn the evolution of material temperature. A composite loss function is constructed from the residuals of the heat-conduction equation for ablative materials, the Arrhenius reaction equation, the initial-condition constraint, and the boundary-condition constraint, and we adjust the weights of various loss terms to introduce an adaptive weight strategy, thereby balancing the various physical constraints. Comparative analysis with numerical results obtained via the Finite Volume Method (FVM) demonstrates that the proposed framework achieves a three-order-of-magnitude enhancement in computational efficiency for predictive simulations, while maintaining prediction errors within a controlled bound of 6%. This approach thus offers a practical and effective means for rapid iteration in the design of ablative thermal protection systems.

     

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