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      U-net网络在流场预测中的应用研究综述

      Review of U-net network application research in flow field prediction

      • 摘要: 计算流体动力学采用数值模拟计算方法对流体控制方程进行求解, 易存在计算成本高且效率低等问题。U-net网络以其对称的编码器-解码器结构及跳跃连接, 能够捕捉输入数据中的局部特征和全局信息, 在流场预测中表现优异。基于此, 对卷积神经网络研究中的U-net网络热点问题进行综述, 对U-net网络结构原理进行阐述, 并从物理约束引入、时间依赖性建模、混合分辨率建模、神经算子引入以及残差网络融合等方面对U-net网络模型在流体模拟中的应用与改进进行总结, 并对U-net未来发展方向进行了展望。研究结果表明:引入物理约束使得模型能够在没有标注数据的情况下通过优化控制方程来提高预测精度;时间依赖性建模通过潜在空间学习流场的时序变化;混合分辨率建模可有效处理复杂流场, 尤其是湍流;神经算子引入傅里叶变换, 可提升模型的全局特性捕捉能力;融合残差网络提高了模型的稳定性和训练速度。

         

        Abstract: Computational Fluid Dynamics (CFD) uses numerical simulation methods to solve the governing equations of flow, which can be subject to high computational cost and low efficiency. The U-net network, with its symmetrical encoder-decoder structure and skip connection, can capture both local features and global information in the input data, showing an excellent performance in flow field prediction. Based on this, this paper reviews the hot topics of U-net networks in convolutional neural network research, explains the principles of the U-net network architecture, and summarizes improvements of U-net model in fluid simulation applications from the perspectives of incorporating physical constraints, modeling temporal dependency, hybrid resolution modeling, introducing neural operators, and integrating residual network. Future development directions for U-net are also discussed. The results show that the introduction of physical constraints enables the model to improve prediction accuracy by optimizing the control equations even without labeled data. The temporal dependency modeling captures the sequential evolution of flow fields through latent space learning, and hybrid-resolution modeling can effectively handle complex flow fields, especially turbulence. The neural operators introduce Fourier transforms to enhance the model′s ability to capture global characteristics, and residual network integration improves model stability and training speed.

         

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