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Article Dans Une Revue Physics of Plasmas Année : 2023

A nonlocal electron transport model in the diffusion scaling of hydrodynamics

Résumé

We analyze a model of nonlocal electron transport named P1-diffusion based on a spherical harmonic expansion in velocity space and a diffusion scaling, which makes it compatible with assumptions from magneto-hydrodynamics (MHD). An iterative, fully implicit (CFL-free, as defined by the Courant Friedrich Levy condition) and asymptotic preserving discretization is proposed, which necessitates the inversion of a possibly large number of—but small—linear systems. It is found accurate with respect to reference solutions from a Vlasov–Fokker–Planck–Maxwell code (based on a Polynomial expansion of order N, or PN expansion) on a series of tests, which are representative of the conduction zone in laser-created plasmas. Thereby, the present approach is a good candidate for being embedded in multi-D MHD codes.
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Dates et versions

hal-04576853 , version 1 (15-05-2024)

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O. Michel, Roland Duclous, P.-E. Masson-Laborde, Cédric Enaux, Pauline Lafitte. A nonlocal electron transport model in the diffusion scaling of hydrodynamics. Physics of Plasmas, 2023, 30 (2), ⟨10.1063/5.0124483⟩. ⟨hal-04576853⟩
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