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Table 1

List of simulations and mean properties in the evolved state.

Runa Domain Resolution ⟨⟨Σ⟩⟩  ⟨⟨H⟩⟩  ⟨⟨ρvz⟩⟩  ⟨⟨ρvzΔvy⟩⟩  ⟨⟨−BzBy/4π⟩⟩  ⟨⟨in⟩⟩ 
 [l0  [Σ0  [l0  [⟨⟨Σ⟩⟩ Ω0  [m⟨⟨H⟩⟩ Ω0

β1   ι45 4 × 2 256 × 128 2.76 ± 8% 0.718 ± 3% 0.651 ± 3% 0.0677 ± 29% 0.0897 ± 65% 1.41 ± 13% 3.07 ± 17%
β1   ι45   h 4 × 2 512 × 256 2.43 ± 8% 0.642 ± 2% 0.668 ± 6% 0.0756 ± 28% 0.108 ± 82% 1.15 ± 25% 2.56 ± 60%
β1   ι45   hν 4 × 2 512 × 256 2.55 ± 4% 0.695 ± 4% 0.668 ± 2% 0.0687 ± 8% 0.0807 ± 10% 1.27 ± 7% 2.71 ± 6%
β1   ι45   hη 4 × 2 512 × 256 3.19 ± 6% 0.789 ± 1% 0.639 ± 4% 0.0615 ± 20% 0.0865 ± 76% 1.61 ± 8% 3.48 ± 19%
β1   ι45   b 6 × 3 384 × 192 2.56 ± 20% 0.624 ± 1% 0.661 ± 15% 0.0744 ± 29% 0.111 ± 72% 1.31 ± 27% 2.97 ± 34%
β1   ι37 4 × 2 256 × 128 3.76 ± 18% 0.586 ± 3% 0.557 ± 13% 0.0831 ± 39% 0.177 ± 55% 1.93 ± 20% 4.27 ± 40%
β1   ι40 4 × 2 256 × 128 3.27 ± 16% 0.626 ± 2% 0.583 ± 9% 0.0775 ± 23% 0.143 ± 42% 1.70 ± 21% 3.79 ± 27%
β1   ι50 4 × 2 256 × 128 1.54 ± 14% 0.762 ± 10% 0.723 ± 9% 0.0677 ± 83% 0.118 ± 174% 0.617 ± 30% 1.51 ± 59%
β1   ι60 4 × 2 256 × 128 1.89 ± 14% 1.15 ± 11% 0.944 ± 5% 0.0428 ± 60% 0.0456 ± 110% 0.190 ± 59% 0.494 ± 183%
β0.5   ι45 4 × 2 256 × 128 1.69 ± 35% 0.909 ± 16% 0.627 ± 20% 0.0529 ± 135% 0.0951 ± 317% 1.21 ± 104% 2.64 ± 140%
β2   ι45 4 × 2 256 × 128 3.46 ± 6% 0.486 ± 2% 0.698 ± 3% 0.100 ± 15% 0.147 ± 31% 1.05 ± 11% 2.46 ± 15%
β8   ι45 4 × 2 256 × 128 7.12 ± 1% 0.286 ± 0% 0.793 ± 1% 0.170 ± 2% 0.219 ± 4% 0.447 ± 2% 1.34 ± 1%
β10   ι45 4 × 2 256 × 128 7.66 ± 9% 0.270 ± 2% 0.806 ± 3% 0.180 ± 8% 0.227 ± 13% 0.480 ± 7% 1.42 ± 8%

Notes. Quantities in Cols. 4–10 are average values in the evolved state (for a visualization, see Fig. 1). Double-angle brackets ⟨⟨...⟩⟩  denote a combined temporal and horizontal mean. Temporal fluctuations are rounded to full percents.

(a)

The label contains the initial value of p/pmag at the midplane (denoted βi in the text) and the asymptotic inclination angle ι of the potential field at the outer vertical boundary (0° is horizontal and 90° is vertical). In addition, “h” stands for high resolution, “ν” for the use of an explicit shear viscosity, “η” for the use of explicit magnetic diffusion, and “b” for a bigger computational box.

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