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20242026
most citedA solver for subsonic flow around airfoils based on physics-informed neural networks and mesh transformation

54 citations · 107 across the 9 of their papers we have counts for

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physics.flu-dyn2026

Physics-informed neural networks for shock capturing in inviscid flows around an airfoil

Jiahao Song, Wenbo Cao, Weiwei Zhang

Physics-informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs). However, shock capturing remains challenging for PINNs, particularly i…

physics.flu-dyn2026

Solving compressible Navier-Stokes equations using the feature-enhanced neural network

Jiahao Song, Wenbo Cao, Weiwei Zhang

Physics-informed neural networks (PINNs) have shown remarkable prospects in solving partial differential equations (PDEs) involving fluid mechanics. However, the method has so far…

physics.flu-dyn2025

FENN: Feature-enhanced neural network for solving partial differential equations involving fluid mechanics

Jiahao Song, Wenbo Cao, Weiwei Zhang

Physics-informed neural networks (PINNs) have shown remarkable prospects in solving forward and inverse problems involving partial differential equations (PDEs). However, PINNs sti…

physics.flu-dyn2024★ 54 cited

A solver for subsonic flow around airfoils based on physics-informed neural networks and mesh transformation

Wenbo Cao, Jiahao Song, Weiwei Zhang

Physics-informed neural networks (PINNs) have recently become a new popular method for solving forward and inverse problems governed by partial differential equations (PDEs). Howev…

physics.flu-dyn2024★ 46 cited

A complete state-space solution model for inviscid flow around airfoils based on physics-informed neural networks

Wenbo Cao, Jiahao Song, Weiwei Zhang

Engineering problems often involve solving partial differential equations (PDEs) over a range of similar problem setups with various state parameters. In traditional numerical meth…