Fig. 5

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Magnetic energy distribution of the Balsara vortex after one advective crossing time, tadv, normalized by the maximum magnetic energy at t = 0. The ratio of the magnetic to the (rotational) kinetic energy of the vortex is varied along the y-axis (in descending order), while the initial maximum rotational velocity, Ṽ, varies along the x-axis. The inset in each subplot shows the ratio of the final to the initial magnetic energy. The vortex run with Ṽ = 10−1 and βK = 102 (bottom-right corner) has a maximum Mach number max(ℳson)t=0 = 1.65 × 10−1. In that system, the gas pressure drops in the regions around the center of the vortex to balance the large magnetic and centrifugal forces, which ultimately decreases the1 sound speed where the velocity is maximum.
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