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This work analyzes the stability of the Yee scheme for non stationary Maxwell's equations coupled with a linear current model. 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

Topics:
Maxwell's equation, fusion plasma, stable scheme, FDTD, linear current model, [
MATH.MATH-NA
]
Mathematics [math]/Numerical Analysis [math.NA], [
PHYS.MPHY
]
Physics [physics]/Mathematical Physics [math-ph], [
MATH.MATH-MP
]
Mathematics [math]/Mathematical Physics [math-ph]

Publisher: Elsevier

Year: 2015

OAI identifier:
oai:HAL:hal-01016883v1

Provided by:
Hal-Diderot

Downloaded from
https://hal.archives-ouvertes.fr/hal-01016883/document

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