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Simulating discontinuities is a long standing problem especially for shock waves with strong nonlinear feather.
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2019
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G. Pang, L. Yang, G. E. Karniadakis, Neural-net-induced gaussian process regression for function approximation and PDE solution, Journal of Computational Physics 384 (2019) 270–288
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A. Papados, Solving hydrodynamic shock-tube problems using weighted physics-informed neural networks with domain extension, DOI: 10.13140/RG.2.2.29724.00642/1
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R. G. Patel, I. Manickam, N. A. Trask, M. A. Wood, M. Lee, I. Tomas, E. C. Cyr, Thermodynamically consistent physics-informed neural networks for hyperbolic systems, Journal of Computational Physics 449 (2022) 110754
2022
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2022
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