Stable explicit coupling of the Yee scheme with a linear current model in fluctuating magnetized plasmas

Filipe Da Silva (1) , Martin Campos Pinto (2) , Bruno Després (2) , Stéphane Heuraux (3)

1 IPFN - Instituto de Plasmas e Fusão Nuclear [Lisboa]
2 LJLL - Laboratoire Jacques-Louis Lions
3 IJL - Institut Jean Lamour

This work analyzes the stability of the Yee scheme for non-stationary Maxwell's equations coupled with a linear current model with density fluctuations. We show that the usual procedure may yield unstable scheme for physical situations that correspond to strongly magnetized plasmas in X-mode (TE) polarization. We propose to use first order clustered discretization of the vectorial product that gives back a stable coupling. We validate the schemes on some test cases representative of direct numerical simulations of X-mode in a magnetic fusion plasma including turbulence.

Mots clés: Maxwell's equation; Fusion plasma; Stable scheme; FDTD; Linear current model

Domaines: Physique des plasmas [physics.plasm-ph]

Filipe Da Silva, Martin Campos Pinto, Bruno Després, Stéphane Heuraux. Stable explicit coupling of the Yee scheme with a linear current model in fluctuating magnetized plasmas. Journal of Computational Physics, 2015, 295, pp.24-45. ⟨10.1016/j.jcp.2015.03.069⟩. ⟨hal-01285769⟩