Predictive Limitations of Physics-Informed Neural Networks in Vortex Shedding: Figure 19

Figure showing main results from: Chuang, P.Y. and Barba, L.A., 2023. Predictive Limitations of Physics-Informed Neural Networks in Vortex Shedding. arXiv preprint arXiv:2306.00230.

—Figure 19 shows dynamic mode distributions on the complex plane. In PetIBM, modes cluster near the circle, representing periodic flow patterns. PINN results have a less structured distribution: secondary modes spread widely, additional frequencies appear, and damped modes exist. Insufficient training or inherent properties of PINN may cause these discrepancies, resulting in numerical dissipation and dispersion.

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