arXiv Machine Learning By Cong Liu, Junxia Wei, Shuai Wang, Heng Yong

pcNN-SN: a physics-enhanced predictor-corrector neural network algorithm coupled with the discrete ordinates method for neutron transport equations

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The paper introduces pcNN‑SN, a physics‑enhanced predictor‑corrector neural network algorithm that couples with the discrete ordinates (SN) method for neutron transport equations. By using high‑ and low‑accuracy data, the network predicts correction factors for coarse‑grid solutions, incorporating local physical features and dimensionless transformations to reduce input dimensionality. The algorithm maintains conservation properties and, when coupled with SN sweeps, achieves fine‑grid accuracy while reducing computation time by over 60% on a three‑dimensional test problem.

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