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Code · Zenodo · September 23, 2026

Artificial-viscosity schedules for Buckley–Leverett PINNs: code and reproducibility archive

Saltanbek Talapedenovich MUKHAMBETZHANOV, Yerzhan Kenzhebek, Samson Dawit Bekele, Saida Tastanova, Dagmawi Lemma, Timur Imankulov

Abstract

Software and experimental evidence accompanying Separating Artificial-Viscosity Annealing from the L-BFGS Viscosity in Physics-Informed Neural Networks for Two-Phase Flow. Includes training configurations, saved model weights, predictions, per-run measurements, finite-volume reference fields, and scripts to reconstruct all 15 figures and 18 tables. Separate exploratory open-outlet and boundary-conditioned experiment blocks use 15 paired seeds. Fixed-seed GPU training is not bitwise reproducible; the archive records the measured repeatability limitation. Funded by the Committee of Science of the Ministry of Science and Higher Education of the Republic of Kazakhstan, grant AP23489431.

Model Reduction and Neural NetworksReservoir Engineering and Simulation MethodsNeural Networks and Applicationsartificial viscosityphysics-informed neural networksBuckley-Leverett equation

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