| High Reynolds number airfoil turbulence modeling method based on machine learning technique X Sun, W Cao, Y Liu, L Zhu, W Zhang Computers & Fluids 236, 105298, 2022 | 36 | 2022 |
| Analysis on numerical stability and convergence of Reynolds averaged Navier–Stokes simulations from the perspective of coupling modes Y Liu, W Cao, W Zhang, Z Xia Physics of Fluids 34 (1), 2022 | 27 | 2022 |
| A solver for subsonic flow around airfoils based on physics-informed neural networks and mesh transformation W Cao, J Song, W Zhang Physics of Fluids 36 (2), 2024 | 24 | 2024 |
| Turbulence modeling via data assimilation and machine learning for separated flows over airfoils XL Shan, YL Liu, WB Cao, XX Sun, WW Zhang AIAA Journal 61 (9), 3883-3899, 2023 | 22 | 2023 |
| Data-driven and physical-based identification of partial differential equations for multivariable system W Cao, W Zhang Theoretical and Applied Mechanics Letters 12 (2), 100334, 2022 | 13 | 2022 |
| VW-PINNs: A volume weighting method for PDE residuals in physics-informed neural networks J Song, W Cao, F Liao, W Zhang Acta Mechanica Sinica 41 (3), 324140, 2025 | 12 | 2025 |
| Machine learning of partial differential equations from noise data W Cao, W Zhang Theoretical and Applied Mechanics Letters 13 (6), 100480, 2023 | 12 | 2023 |
| FD-PINN: Frequency domain physics-informed neural network S Jiahao, C Wenbo, Z Weiwei Chinese Journal of Theoretical and Applied Mechanics 55 (5), 1195-1205, 2023 | 12 | 2023 |
| Solving high-dimensional parametric engineering problems for inviscid flow around airfoils based on physics-informed neural networks W Cao, J Song, W Zhang Journal of Computational Physics 516, 113285, 2024 | 11* | 2024 |
| A novel convergence enhancement method based on online dimension reduction optimization W Cao, Y Liu, X Shan, C Gao, W Zhang Physics of Fluids 35 (3), 2023 | 10 | 2023 |
| An analysis and solution of ill-conditioning in physics-informed neural networks W Cao, W Zhang Journal of Computational Physics 520, 113494, 2025 | 8 | 2025 |
| TSONN: Time-stepping-oriented neural network for solving partial differential equations W Cao, W Zhang arXiv preprint arXiv:2310.16491, 2023 | 7 | 2023 |
| A generalized framework for integrating machine learning into computational fluid dynamics X Sun, W Cao, X Shan, Y Liu, W Zhang Journal of Computational Science 82, 102404, 2024 | 3 | 2024 |
| Solving parametric high-Reynolds-number wall-bounded turbulence around airfoils governed by Reynolds-averaged Navier–Stokes equations using time-stepping-oriented neural network W Cao, X Shan, S Tang, W Ouyang, W Zhang Physics of Fluids 37 (1), 2025 | 2 | 2025 |
| Solving all laminar flows around airfoils all-at-once using a parametric neural network solver W Cao, S Tang, Q Ma, W Ouyang, W Zhang arXiv preprint arXiv:2501.01165, 2025 | 1 | 2025 |
| New Interpretation for error propagation of data-driven Reynolds stress closures via global stability analysis X Shan, W Cao, W Zhang arXiv preprint arXiv:2405.02622, 2024 | | 2024 |
