Stable coupling of the Yee scheme with a linear current model

Abstract : 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.
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Filipe da Silva, Martin Campos Pinto, Bruno Després, Stephane Heuraux. Stable coupling of the Yee scheme with a linear current model. Journal of Computational Physics, Elsevier, 2015, 295, pp.24-45. ⟨hal-01016883⟩

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