Table 3.
Volume and time-averaged kinetic and magnetic energy densities.
| Run | Ekin [105 J m−3] |  |
 |
Emag [105 J m−3] | Emag/Ekin |  |
 |
|---|---|---|---|---|---|---|---|
| HD1 | 110.3 | 0.047 | 0.200 | – | – | – | – |
| RHD1 | 105.7 | 0.519 | 0.040 | – | – | – | – |
| RHD2 | 33.3 | 0.179 | 0.045 | – | – | – | – |
| RHD3 | 54.8 | 0.640 | 0.019 | – | – | – | – |
| RHD4 | 23.9 | 0.579 | 0.024 | – | – | – | – |
| RHD5 | 17.7 | 0.127 | 0.018 | – | – | – | – |
| MHD1 | 45.7 | 0.306 | 0.072 | 5.54 | 0.121 | 0.095 | 0.080 |
| MHD1h | 45.7 | 0.267 | 0.077 | 6.28 | 0.137 | 0.072 | 0.074 |
| MHD2 | 29.2 | 0.140 | 0.045 | 0.79 | 0.027 | 0.074 | 0.068 |
| MHD3 | 21.3 | 0.395 | 0.025 | 3.66 | 0.172 | 0.256 | 0.063 |
| MHD3h | 18.5 | 0.297 | 0.025 | 5.02 | 0.271 | 0.169 | 0.053 |
| MHD4 | 4.66 | 0.117 | 0.014 | 7.47 | 1.604 | 0.044 | 0.053 |
| MHD5 | 0.98 | 0.016 | 0.014 | 17.2 | 17.528 | 0.017 | 0.039 |
| MHD5h | 0.97 | 0.014 | 0.015 | 24.0 | 24.730 | 0.022 | 0.057 |
Notes. The total kinetic energy density is 
, where the brackets denote volume averaging within spherical radius r ≤ R. The corresponding energy densities for the differential rotation and meridional circulation are given by 
and 
, respectively. The energy densities of the total, toroidally averaged toroidal and poloidal magnetic fields are given by Emag = ⟨B2/2μ0⟩, 
, and 
, respectively.
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