Table 1
Summary of the runs.
| Run | U0/(dg)1/2 | d z | z ref | Sh | Re | Rm | Ma | λ [10-2] | B eq |
|
|
|
|
|
||||||||||||
| S00 | 0.00 | 0.05 | –0.05 | 0.0 | 8.9 | 14.7 | 0.028 | –2.16 | 0.06 | – | – | – |
| S01 | 0.06 | 0.05 | –0.05 | 3.7 | 8.2 | 13.6 | 0.026 | –1.29 | 0.05 | – | – | – |
| S02 | 0.09 | 0.05 | –0.05 | 6.8 | 13.4 | 22.3 | 0.042 | –0.34 | 0.21 | – | – | – |
| S03 | 0.12 | 0.05 | –0.05 | 7.3 | 15.3 | 25.5 | 0.053 | 0.03 | 0.24 | – | – | – |
| S04 | 0.15 | 0.05 | –0.05 | 7.6 | 19.9 | 33.2 | 0.062 | 1.72 | 0.40 | 0.31 | 5.32 | 0.34 |
|
|
||||||||||||
| D01 | 0.15 | 0.05 | –0.05 | 7.6 | 19.9 | 33.2 | 0.062 | 1.72 | 0.40 | 0.31 | 5.32 | 0.34 |
| D02 | 0.15 | 0.05 | –0.09 | 7.7 | 19.7 | 32.8 | 0.062 | 1.72 | 0.39 | 0.40 | 4.92 | 0.36 |
| D03 | 0.15 | 0.05 | –0.13 | 7.6 | 19.9 | 33.1 | 0.062 | 1.36 | 0.39 | 0.42 | 4.83 | 0.36 |
| D04 | 0.15 | 0.05 | –0.17 | 7.3 | 20.1 | 34.9 | 0.066 | 1.37 | 0.39 | 0.56 | 6.15 | 0.37 |
|
|
||||||||||||
| T01 | 0.15 | 0.05 | –0.05 | 7.6 | 19.9 | 33.2 | 0.062 | 1.72 | 0.40 | 0.31 | 5.32 | 0.34 |
| T02 | 0.15 | 0.07 | –0.05 | 6.0 | 18.1 | 30.1 | 0.057 | 1.00 | 0.33 | 0.34 | 4.79 | 0.36 |
| T03 | 0.15 | 0.09 | –0.05 | 4.9 | 17.2 | 28.7 | 0.054 | 0.91 | 0.30 | 0.31 | 5.40 | 0.37 |
| T04 | 0.15 | 0.11 | –0.05 | 4.4 | 15.8 | 26.3 | 0.049 | 0.88 | 0.26 | 0.44 | 6.15 | 0.41 |
| T04τ | 0.15 | 0.11 | –0.05 | 3.8 | 18.1 | 30.2 | 0.056 | 1.18 | 0.36 | 0.40 | 3.75 | 0.39 |
| T05 | 0.15 | 0.15 | –0.05 | 3.4 | 15.0 | 24.9 | 0.045 | 0.39 | 0.24 | – | – | – |
| T06 | 0.15 | 0.20 | –0.05 | 2.9 | 13.1 | 22.0 | 0.041 | –0.04 | 0.19 | – | – | – |
Notes. Here
Ma = urms/(gd)1/2,
λ is the growth rate in units of τturn,
,
, where the
equipartition magnetic field is evaluated at
z = zref, see Eq. (13), and is given in units
of 
.
Finally 
corresponds to fraction of mean magnetic field compared with the total field. The
numbers are given for the saturated state of the dynamo. In all these simulations the
resolution is 1283 grid points, Pr = 20, Pm = 15 in the stable layer
and 1.5 in the convection zone, and Ra ≃ 8.3 × 106.
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