Table 1
Simulation setups.
| Model | Pr | Pm | E | Nρ | m | Ra | Nφ × Nθ × Nr | TKE | KEpol | KEtor | KEDR | MEpol | MEtor | Nu |
|
|
||||||||||||||
| H-Pr10-N5 | 10 | – | 3 × 10-4 | 5 | 2 | 3 × 107 | 1280 × 640 × 121 | 5.6 × 104 | 0.38 | 0.62 | 0.18 | – | – | 3.2 |
| NA-Pr10-N5 | 10 | 10 | 3 × 10-4 | 5 | 2 | 3 × 107 | 1440 × 720 ×121 | 5.2 × 104 | 0.41 | 0.59 | 0.08 | 0.15 | 0.14 | 3.2 |
| A-Pr10-N5 | 10 | 10 | 3 × 10-4 | 5 | 2 | 3 × 107 | 1440 × 720 × 121 | 4.6 × 104 | 0.45 | 0.55 | 0.03 | 1.36 | 1 | 3.2 |
| A-Pr10-N4 | 10 | 10 | 3 × 10-4 | 4 | 2 | 2 × 107 | 1024 × 512 × 121 | 3.7 × 104 | 0.46 | 0.54 | 0.02 | 1.2 | 0.94 | 4.6 |
| A-Pr10-N3 | 10 | 10 | 3 × 10-4 | 3 | 2 | 1.5 × 107 | 768 × 384 × 97 | 3 × 104 | 0.44 | 0.56 | 0.03 | 0.89 | 0.77 | 6.4 |
| NA-Pr1-N6 | 1 | 2 | 3 × 10-4 | 6 | 1.5 | 4 × 107 | 1280 × 640 × 121 | 2.3 × 106 | 0.4 | 0.6 | 0.18 | 0.26 | 0.29 | 1.4 |
| S-Pr1-N5 | 1 | 3 | 3 × 10-3 | 5 | 2 | 107 | 2048 × 1024 × 121∗ | 5.4 × 106 | 0.43 | 0.57 | 0.45 | 0.03 | 0.03 | 2.1 |
Notes. Each model name highlights its main characteristics: the letter “H” stands for hydrodynamic, and letters “A”, “NA”, “S” are for axisymmetric, non-axisymmetric, and small-scaled, respectively, highlighting the nature of the dynamo. The “Pr” and “N” in a model name stand for the Pr and Nρ; the corresponding values for these control parameters follow. TKE is the volume-integrated non-dimensional kinetic energy defined as 0.5∫ρu2 dv. The KEpol,tor and MEpol,tor are the poloidal and toroidal component of the kinetic and magnetic energy, normalized by TKE. KEDR is the total kinetic energy (normalized by TKE) contained in the axisymmetric differential rotation. The Nusselt number Nu is the ratio of the total heat flux to the conducted heat flux transported from the bottom of the convection zone to the top. Model S-Pr1-N5 was run with a double symmetry in the azimuthal direction; the effective grid resolution is therefore 1024 × 1024 × 121.
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