A nonlocal electron transport model in the diffusion scaling of hydrodynamics

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 Fried...

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Veröffentlicht in:Physics of plasmas 2023-02, Vol.30 (2)
Hauptverfasser: Michel, O., Duclous, R., Masson-Laborde, P.-E., Enaux, C., Lafitte, P.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1070-664X
1089-7674
DOI:10.1063/5.0124483