An adaptive mesh semi-implicit conservative unsplit method for resistive MHD

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Abstract

We present a cell-centered semi-implicit algorithm for solving the equations of single fluid resistive MHD for block structured adaptive meshes. The unsplit method [1] is extended for the ideal MHD part, and the diffusive terms are solved implicitly. The resulting second-order accurate scheme is conservative while preserving the ∇ · B = 0 constraint. Numerical results from a variety of verification tests are presented. © 2005 IOP Publishing Ltd.

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Samtaney, R., Colella, P., Ligocki, T. J., Martin, D. F., & Jardin, S. C. (2005). An adaptive mesh semi-implicit conservative unsplit method for resistive MHD. In Journal of Physics: Conference Series (Vol. 16, pp. 40–48). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/16/1/005

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