A Physics-Informed Neural Network for Solving the Quasi-static Magnetohydrodynamic Equations

Fuente: arXiv
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Autores principales: Arnaud, Jonathan S., McDevitt, Christopher J., Wimmer, Golo, Tang, Xian-Zhu
Formato: Preprint
Publicado: 2026
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author Arnaud, Jonathan S.
McDevitt, Christopher J.
Wimmer, Golo
Tang, Xian-Zhu
author_facet Arnaud, Jonathan S.
McDevitt, Christopher J.
Wimmer, Golo
Tang, Xian-Zhu
contents A physics-informed neural network (PINN) is developed, for the first time, to learn the time-dependent quasi-static magnetohydrodynamic (MHD) equations in axisymmetric tokamak geometry, without any experimental or synthetic data. The initial study considered an ITER-like tokamak and found that a PINN, after careful treatment, was capable of learning the solution to the MHD system and predict a vertically displacing plasma, where general agreement with ground truth simulation was observed. The proof-of-principle demonstration highlights the potential of physics-constrained deep learning to learn complex plasma behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2604_20085
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Physics-Informed Neural Network for Solving the Quasi-static Magnetohydrodynamic Equations
Arnaud, Jonathan S.
McDevitt, Christopher J.
Wimmer, Golo
Tang, Xian-Zhu
Plasma Physics
A physics-informed neural network (PINN) is developed, for the first time, to learn the time-dependent quasi-static magnetohydrodynamic (MHD) equations in axisymmetric tokamak geometry, without any experimental or synthetic data. The initial study considered an ITER-like tokamak and found that a PINN, after careful treatment, was capable of learning the solution to the MHD system and predict a vertically displacing plasma, where general agreement with ground truth simulation was observed. The proof-of-principle demonstration highlights the potential of physics-constrained deep learning to learn complex plasma behavior.
title A Physics-Informed Neural Network for Solving the Quasi-static Magnetohydrodynamic Equations
topic Plasma Physics
url https://arxiv.org/abs/2604.20085