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Article Dans Une Revue Journal of Computational Physics Année : 2023

Asymptotically preserving particle methods for strongly magnetized plasmas in a torus

Résumé

We propose and analyze a class of particle methods for the Vlasov equation with a strong external magnetic field in a torus configuration. In this regime, the time step can be subject to stability constraints related to the smallness of Larmor radius. To avoid this limitation, our approach is based on higher-order semi-implicit numerical schemes already validated on dissipative systems [3] and for magnetic fields pointing in a fixed direction [9, 10, 12]. It hinges on asymptotic insights gained in [11] at the continuous level. Thus, when the magnitude of the external magnetic field is large, this scheme provides a consistent approximation of the guiding-center system taking into account curvature and variation of the magnetic field. Finally, we carry out a theoretical proof of consistency and perform several numerical experiments that establish a solid validation of the method and its underlying concepts.
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Dates et versions

hal-03777588 , version 1 (14-09-2022)
hal-03777588 , version 2 (14-05-2023)

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Francis Filbet, Luis Miguel Miguel Rodrigues. Asymptotically preserving particle methods for strongly magnetized plasmas in a torus. Journal of Computational Physics, 2023, 480, pp.article n° 112015. ⟨10.1016/j.jcp.2023.112015⟩. ⟨hal-03777588v2⟩
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