“…MAGIC solves the Euler equations via the f wave method of Bale et al (2003) in a modified version of Clawpack 4.2 (Clawpack Development Team, 2002;LeVeque, 2002), with time-split solutions for Navier-Stokes viscosity and thermal conduction. GEMINI uses the same mathematical formulation as Zettergren and Snively (2015, Appendix A) except for that the electrodynamic problem is changed slightly; the large number of grid points needed for this study makes both direct and iterative solutions inefficient, so we adopt an equipotential field line (EFL) approximation, which uses a field-integrated version of the current continuity equation (e.g., Huba et al, 2015). GEMINI uses the same mathematical formulation as Zettergren and Snively (2015, Appendix A) except for that the electrodynamic problem is changed slightly; the large number of grid points needed for this study makes both direct and iterative solutions inefficient, so we adopt an equipotential field line (EFL) approximation, which uses a field-integrated version of the current continuity equation (e.g., Huba et al, 2015).…”