Table 4.
Selection of volume- and time-averaged quantities for simulations sg-mhd-1,2.
| Variable | sg-mhd-1 | sg-mhd-1 | sg-mhd-2 |
|---|---|---|---|
| Time interval | 120 ≤ tΩ0 ≤ 320 | 700 ≤ tΩ0 ≤ 1000 | 700 ≤ tΩ0 ≤ 1000 |
| ⟨Q0⟩t | 0.7204 ± 0.004 | 0.860 ± 0.07 | 0.74646 ± 0.0005 |
| ⟨⟨Q⟩⟩t | 1.064 ± 0.03 | 1.270 ± 0.07 | 1.138 ± 0.02 |
| ⟨Eth⟩t | 0.1150 ± 0.007 | 0.098 ± 0.01 | 0.1182 ± 0.003 |
| ⟨Ekin⟩t | 0.0205 ± 0.006 | 0.0087 ± 0.002 | 0.01350 ± 0.0009 |
| ⟨Emag⟩t | 2.3 × 10−5 ± 4 × 10−5 | 0.0063 ± 0.001 | 0.00506 ± 0.0007 |
| αr | 0.0081 ± 0.001 | 0.00658 ± 0.0006 | 0.00739 ± 0.0004 |
| αm | 4.7 × 10−5 ± 8 × 10−5 | 0.0130 ± 0.002 | 0.0092 ± 0.001 |
| αg | 0.0142 ± 0.001 | 0.0064 ± 0.001 | 0.00951 ± 0.0007 |
| α | 0.0223 ± 0.002 | 0.0261 ± 0.002 | 0.0261 ± 0.001 |
| αpred | 0.0229 ± 0.001 | 0.0229 ± 0.001 | 0.02408 ± 0.0005 |
Notes. The respective time intervals, used for the time average, are given in the top row. As sg-mhd-2 is restarted from sg-mhd-1 at tΩ0 = 600, the first time-interval (120 ≤ tΩ0 ≤ 320) is only evaluated for sg-mhd-1. The first interval is chosen such that the magnetic energy densities are negligibly weak (∼10−5). The standard deviation is calculated by dividing each time interval into five sub-intervals and determining the dispersion. The double average in ⟨⟨Q⟩⟩t indicates that Q is first averaged over the volume (Eq. (7)) and afterwards averaged over time.
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