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Engineering Applications of Computational Fluid Mechanics • Vol 19 • No 1
A surrogate model based on parametric neural network solvers for laminar flows around aerofoils
2025
Physics-informed neural networks (PINNs) have emerged as a popular approach for solving forward, inverse, and parametric problems involving partial differential equations. However, their performance is often limited by ill-conditioning in optimization. To add…
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Engineering Applications of Computational Fluid Mechanics • Vol 19 • No 1
A surrogate model based on parametric neural network solvers for laminar flows around aerofoils
2025
Physics-informed neural networks (PINNs) have emerged as a popular approach for solving forward, inverse, and parametric problems involving partial differential equations. However, their performance is often limited by ill-conditioning in optimization. To address this, time-stepping-oriented neural network (TSONN) reformulate the optimization process into a sequence of well-conditioned sub-problems, offering improved robustness and efficiency for complex scenarios. This paper presents a solver for laminar flow aro…
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