基于间断捕捉物理信息神经网络的碾压混凝土坝温度场分析

ANALYSIS OF TEMPERATURE FIELD IN ROLLER-COMPACTED CONCRETE DAMS BASED ON DISCONTINUITY CAPTURING PHYSICS INFORMED NEURAL NETWORKS

  • 摘要: 混凝土重力坝温度场的精确求解对其长期安全运行至关重要。目前的求解方法大多存在网格依赖问题。physics-informed neural networks (PINN)方法虽然可以将物理定律直接融入神经网络的训练中实现无网格求解,但是其在面对多介质界面的问题时存在局限性。该文基于间断捕捉物理信息神经网络(discontinuity-capturing physics-informed neural network, DCPINN)模型对非均质碾压混凝土坝温度场问题进行了求解。该模型通过引入额外维度作为材料标识坐标来处理界面物理连续性问题,克服了传统 PINN 处理多介质界面问题的瓶颈,同时还避免了区域分解型 PINN 需为每个子区域单独构建并训练子网络的需求,以及多网络联合优化带来的复杂性与协调困难,显著降低了模型的整体复杂度。该文探讨了DCPINN在求解非均质碾压混凝土坝温度场问题中的适用性,并进一步讨论了不同激活函数、网络结构对DCPINN计算结果的影响。数值结果表明,Tanh激活函数更适用于DCPINN框架,神经网络结构对最终求解精度具有显著影响。DCPINN在非均质碾压混凝土坝温度场问题中表现出较高的计算精度与可靠性,具有一定的工程应用前景。

     

    Abstract: Accurate determination of temperature field in concrete gravity dams is essential for long-term operational safety. Most current solution methods suffer from mesh dependency issues. Although physics-informed neural networks (PINN) can directly incorporate physical laws into neural network training to achieve mesh-free solutions, they exhibit limitations in handling multi-medium interface problems. This study employed a discontinuity-capturing physics-informed neural network (DCPINN) model to solve the temperature field problem in heterogeneous roller-com pacted concrete dams. By introducing an additional dimension as the material identifier coordinate, the model effectively handled physical continuity at interfaces and overcame the limitations of traditional PINN in handling multi-medium interface problems. It also avoided the need to construct and train separate sub-networks for each sub-region required in domain-decomposition-type PINN, and eliminated the complexity and coordination challenges associated with multi-network joint optimization, reducing the overall model complexity. The applicability of DCPINN to solving temperature field problems in heterogeneous roller-compacted concrete dams was investigated, and the influence of different activation functions and network architectures on computational results was discussed. Numerical results show that the Tanh activation function is better suited to the DCPINN framework and that the neural network structure affects the final solution accuracy. DCPINN demonstrates high computational accuracy and reliability for addressing temperature-field problems in heterogeneous roller-compacted concrete dams and shows potential for engineering applications.

     

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