Fig. A.1

Evolution of the various energy components in the HERACLES simulations. We show Ekin+th, which sums the kinetic and thermal (i.e., gas) energy; Erad,trapped, which is the trapped radiation energy; Edep,pm, which is the energy deposited by the magnetar; Erad,losses, which is the radiative energy streaming out through the outer grid boundary; and ΔE, which is defined as Ekin+th + Erad,trapped + Erad,losses - Edep,pm and should be constant. The start of the simulation is 1.15 d in all simulations — any magnetar energy deposited prior to that is not accounted for in the HERACLES simulations.
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