EAAI Journal 2025 Journal Article
Reconstructing high-resolution flow fields from low-resolution experimental data based on multi-fidelity physics-informed neural network
- Fan Zhang
- Jiangli Chen
- Zhenlin Xie
- Jun Wen
- Haibao Hu
High-resolution (HR) data are essential for fluid dynamic research, but obtaining HR experimental data is expensive currently. For particle image velocimetry (PIV) experiments, the most commonly used measurement method, low-resolution (LR) velocity fields are easily available, and HR data can be reconstructed from LR ones. Physics-informed neural network (PINN) is a framework that combines data-driven neural networks and physical laws, and we introduce a variant of PINN, the multi-fidelity PINN (MPINN), for the super-resolution reconstruction of LR data, which can decompose the data correlation into linear and nonlinear parts. Due to the lack of pressure data from PIV experiments, the physical equations in MPINN use the Navier–Stokes equations in the vortex-velocity form rather than the velocity–pressure form, and we call this network MPINN-V. By learning the distribution of HR data at low Reynolds numbers, the network can reconstruct the LR flow field at higher Reynolds numbers. First, model validation was conducted to investigate the effectiveness of selecting the vorticity–velocity formulation, as well as the influence of boundary conditions, network size, activation functions, data sparsity, and Reynolds number on the model’s reconstruction accuracy. Additionally, the super-resolution reconstruction capabilities of MPINN-V, PINN-V, and the traditional bicubic interpolation method were compared, with MPINN-V demonstrating higher accuracy. In addition, the network is robust to noise and can ignore 2. 5% Gaussian noise. Subsequently, we generalize the network to real experimental data, and the training dataset is still from numerical simulations. The results show that the network can achieve high-resolution reconstruction of experimental LR data, and at the same time, it also has the effect of noise reduction. All the above results show that MPINN can be well applied to flow field super-resolution reconstruction, and the vortex-velocity form NS equation can meet the needs of super-resolution reconstruction of experimental flow fields with only velocity data.