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most citedThe Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers

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physics.plasm-ph2025

Comparative Analysis of Hall Effect Implementations in Hall-Magnetohydrodynamics

Kazunari Iwasaki, Kengo Tomida

There is no standard numerical implementation of the Hall effect, which is one of the non-ideal magnetohydrodynamic (MHD) effects. Numerical instability arises when a simple implem…