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Stable coupling of the Yee scheme with a linear current model

By Filipe Da Silva, Martin Campos Pinto, Bruno Després and Stephane Heuraux


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

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