Table 1.
Input parameters and output diagnostics of the unstratified (𝒩 = 0) dynamo runs and of the stratified (𝒩 > 0) runs.
| Name | 𝒩 | Re/104 | Pm |  |
Pr | tpert | lc/d | Regime | Rmeff | τeddy/τΩ | τOhm/τΩ | Δt/τOhm | lu, ⊥/d | lB, ⊥/d |  |
 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| U0 | 0 | 5 | 1 | 5012 | – | 326 | – | D | 823 | 5.8 | 955 | 1.84 | 0.190 | 0.138 | 0.090 | 0.075 |
| U1 | 0 | 5 | 2 | 5012 | – | 566 | – | D | 2136 | 3.3 | 828 | 0.82 | 0.142 | 0.091 | 0.067 | 0.057 |
| U2 | 0 | 10 | 1 | 5012 | – | 654 | – | D | 2527 | 2.2 | 956 | 1.07 | 0.114 | 0.098 | 0.054 | 0.059 |
| U3 | 0 | 10 | 0.6 | 5012 | – | 412 | – | D | 1035 | 4.2 | 935 | 1.60 | 0.144 | 0.125 | 0.068 | 0.067 |
| S0 | 1 | 5 | 1 | – | 10−3 | – | 0.141 | T | 677 | 6.3 | 1206 | 0.95 | 0.169 | 0.155 | 0.083 | 0.076 |
| S1 | 1 | 5 | 1 | – | 10−2 | – | 0.045 | T | 669 | 6.4 | 1878 | 0.40 | 0.169 | 0.194 | 0.084 | 0.084 |
| S2 | 1 | 5 | 1 | – | 10−1 | – | 0.014 | T | 770 | 6.7 | 2946 | 0.17 | 0.204 | 0.243 | 0.102 | 0.083 |
| S3 | 10 | 5 | 1 | – | 10−4 | – | 0.141 | T | 490 | 9.3 | 2052 | 0.37 | 0.173 | 0.203 | 0.086 | 0.083 |
| S4 | 10 | 5 | 1 | – | 10−3 | – | 0.045 | T | 424 | 13.0 | 9831 | 0.19 | 0.216 | 0.443 | 0.107 | 0.091 |
| S5 | 10 | 5 | 1 | – | 2 × 10−3 | – | 0.032 | T | 438 | 13.6 | 17 912 | 0.09 | 0.238 | 0.599 | 0.117 | 0.103 |
| S6 | 10 | 5 | 1 | – | 10−2 | – | 0.014 | S | – | – | – | – | – | – | – | – |
| S7 | 20 | 5 | 1 | – | 10−4 | – | 0.100 | T | 415 | 12.5 | 4076 | 0.17 | 0.197 | 0.286 | 0.098 | 0.087 |
| S8 | 20 | 5 | 1 | – | 5 × 10−4 | – | 0.045 | T | 373 | 17.1 | 18 273 | 0.05 | 0.254 | 0.605 | 0.125 | 0.110 |
| S9 | 20 | 5 | 1 | – | 10−3 | – | 0.032 | T | 429 | 15.6 | 29 011 | 0.04 | 0.265 | 0.762 | 0.131 | 0.121 |
| S10 | 20 | 5 | 1 | – | 5 × 10−3 | – | 0.014 | S | – | – | – | – | – | – | – | – |
Notes. The Reynolds number, the magnetic Prandtl number, and the Prandtl number are Re, Pm, and Pr respectively. 
is the maximum value of the azimuthal Hartmann number in the fluid domain at the perturbation time tpert. The initial condition of the stratified runs is the solution of fiducial dynamo run U0 at time ts = 1241 (Fig. 9). lc/d is the critical radial flow length scale below which thermal diffusion is expected to weaken the stabilizing buoyancy. As for the run regime, D, T, and S stand for dynamo, transient turbulence, and stable respectively. Rmeff is the effective magnetic Reynolds number based on the rms flow velocity after subtracting the forced azimuthal flow. τeddy and τOhm are the eddy turnover time and the Ohmic diffusion time respectively and are reported in units of the rotation timescale τΩ = 1/Ωa. Δt is the period of quasi steady evolution and over which all time averages are calculated. The horizontal length scales based on the (turbulent) flow velocity and magnetic field are (
and 
) lu, ⊥ and lB, ⊥ respectively. See the main text for definitions of all these output diagnostics.
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