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A nonlocal electron transport model in the diffusion scaling of hydrodynamics

Michel, O. ; Duclous, R. ; Masson-Laborde, P.-E. ; Enaux, C. ; Lafitte, P.

Physics of plasmas, 2023-02, Vol.30 (2) [Periódico revisado por pares]

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Título:
A nonlocal electron transport model in the diffusion scaling of hydrodynamics
Autor: Michel, O. ; Duclous, R. ; Masson-Laborde, P.-E. ; Enaux, C. ; Lafitte, P.
Assuntos: Diffusion ; Electron transport ; Iterative methods ; Linear systems ; Magnetohydrodynamics ; Mathematics ; Numerical Analysis ; Physics ; Plasma physics ; Polynomials ; Spherical harmonics
É parte de: Physics of plasmas, 2023-02, Vol.30 (2)
Descrição: 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.
Editor: Melville: American Institute of Physics
Idioma: Inglês

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