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Table 1
Summary of the spherical runs.
| Run | grid | Ra | Pr | ℒ | Ma | Re | Co |
|
|
Emer/Ekin | Erot/Ekin | ΔΩ/Ωeq |
|
|
||||||||||||
| A0 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.023 | 38 | 0.00 | 0.116 | 7.7 × 10-5 | 0.045 | 0.004 | – |
|
|
||||||||||||
| A1 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.022 | 36 | 0.13 | 0.114 | 6.9 × 10-5 | 0.016 | 0.022 | −0.15 |
| A2 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.022 | 36 | 0.25 | 0.114 | 7.2 × 10-5 | 0.015 | 0.073 | −0.31 |
| A3 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.022 | 37 | 0.50 | 0.113 | 1.2 × 10-4 | 0.010 | 0.438 | −1.03 |
| A4 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.029 | 48 | 0.94 | 0.112 | 1.1 × 10-3 | 0.016 | 0.927 | −1.74 |
| A5 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.022 | 36 | 2.56 | 0.111 | 9.9 × 10-4 | 0.002 | 0.949 | −0.37 |
| A6 | 128 × 256 × 128 | 3.1 × 106 | 1.0 | 1.4 × 10-4 | 0.018 | 30 | 6.09 | 0.114 | 2.3 × 10-4 | 0.000 | 0.824 | +0.20 |
|
|
||||||||||||
| B0 | 128 × 512 × 256 | 8.6 × 106 | 1.0 | 1.4 × 10-4 | 0.020 | 54 | 0.00 | 0.113 | 5.8 × 10-5 | 0.036 | 0.009 | – |
|
|
||||||||||||
| B1 | 128 × 512 × 256 | 8.6 × 106 | 1.0 | 1.4 × 10-4 | 0.020 | 57 | 1.34 | 0.112 | 6.5 × 10-4 | 0.009 | 0.927 | −1.10 |
| B2 | 128 × 512 × 256 | 8.6 × 106 | 1.0 | 1.4 × 10-4 | 0.018 | 50 | 3.06 | 0.113 | 1.2 × 10-4 | 0.001 | 0.689 | +0.12 |
| B3 | 128 × 512 × 256 | 8.6 × 106 | 1.0 | 1.4 × 10-4 | 0.016 | 44 | 6.93 | 0.113 | 1.8 × 10-4 | 0.000 | 0.833 | +0.20 |
|
|
||||||||||||
| C1 | 128 × 256 × 128 | 1.7 × 107 | 6.7 | 7.5 × 10-5 | 0.008 | 12 | 7.58 | 0.114 | 3.8 × 10-5 | 0.000 | 0.817 | +0.12 |
|
|
||||||||||||
| D1 | 256 × 512 × 256 | 6.0 × 107 | 1.0 | 3.1 × 10-5 | 0.012 | 90 | 5.07 | 0.113 | 7.9 × 10-5 | 0.000 | 0.796 | +0.20 |
| D2 | 256 × 512 × 256 | 6.0 × 107 | 1.0 | 3.1 × 10-5 | 0.012 | 89 | 7.68 | 0.113 | 1.5 × 10-4 | 0.000 | 0.895 | +0.20 |
Notes. Here 
, ΔΩ = Ωeq − Ωpole, where 
and 
. 
and 
are the volume averaged thermal and total kinetic energies, respectively, in units of GMρ0/R. 
and 
are the kinetic energies of the meridional circulation and differential rotation.
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