A semi-implicit finite volume scheme for XMHD is formulated as a relaxation system with operator splitting and density-dependent limiting to achieve asymptotic preservation to ideal MHD and accuracy in non-ideal limits.
Towardstheultimateconservativedifferenceschemeiii.upstream-centered finite-difference schemes for ideal compressible flow
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Asymptotic-preserving semi-implicit finite volume scheme for Extended Magnetohydrodynamics
A semi-implicit finite volume scheme for XMHD is formulated as a relaxation system with operator splitting and density-dependent limiting to achieve asymptotic preservation to ideal MHD and accuracy in non-ideal limits.