Table 1.
Summary of the runs.
Run | PrSGS | Ta[106] | Co | Coℓ | Coω | Co⋆ | Re | Pe | ReM | Rat [106] | DR | ![]() |
---|---|---|---|---|---|---|---|---|---|---|---|---|
P01-1H | 0.1 | 2.6 | 1.14 | 1.10 | 0.59 | 0.38 | 36 | 3.6 | – | 0.17 | AS | 12.6 |
P01-2H | 0.1 | 3.1 | 1.25 | 1.15 | 0.63 | 0.42 | 36 | 3.6 | – | 0.19 | AS | 9.05 |
P01-3H | 0.1 | 3.7 | 1.34 | 1.21 | 0.66 | 0.46 | 37 | 3.7 | – | 0.21 | (AS) | 8.66 |
P01-4H | 0.1 | 4.4 | 1.42 | 1.22 | 0.67 | 0.50 | 37 | 3.7 | – | 0.23 | (AS) | 9.78 |
P01-5H | 0.1 | 5.1 | 1.50 | 1.28 | 0.70 | 0.54 | 38 | 3.8 | – | 0.25 | (SL) | 6.58 |
P01-6H | 0.1 | 5.8 | 1.65 | 1.36 | 0.75 | 0.58 | 37 | 3.7 | – | 0.27 | SL | 5.96 |
P01-1M | 0.1 | 2.6 | 1.21 | 1.12 | 0.62 | 0.38 | 34 | 3.4 | 34 | 0.19 | AS | 7.29 |
P01-1Mh | 0.1 | 28.8 | 1.25 | 0.85 | 0.50 | 0.38 | 109 | 11 | 109 | 2.18 | AS | 2.98 |
P01-2M | 0.1 | 3.1 | 1.29 | 1.17 | 0.65 | 0.42 | 35 | 3.5 | 35 | 0.20 | AS | 4.88 |
P01-2Mh | 0.1 | 34.9 | 1.33 | 0.74 | 0.40 | 0.42 | 113 | 11 | 113 | 2.44 | (SL) | 3.40 |
P01-3M | 0.1 | 3.7 | 1.35 | 1.20 | 0.66 | 0.46 | 36 | 3.6 | 36 | 0.21 | AS | 6.33 |
P01-3Mh | 0.1 | 41.5 | 1.49 | 0.80 | 0.43 | 0.46 | 110 | 11 | 110 | 2.59 | SL | 5.72 |
P01-4M | 0.1 | 4.4 | 1.48 | 1.24 | 0.70 | 0.50 | 36 | 3.6 | 60 | 0.24 | (SL) | 4.46 |
P01-5M | 0.1 | 5.1 | 1.59 | 1.33 | 0.75 | 0.54 | 36 | 3.6 | 51 | 0.26 | SL | 3.98 |
P01-6M | 0.1 | 5.8 | 1.92 | 1.54 | 0.84 | 0.58 | 32 | 3.2 | 53 | 0.28 | SL | 3.56 |
P1-1H | 1.0 | 2.6 | 1.31 | 1.00 | 0.55 | 0.38 | 31 | 31 | – | 1.45 | AS | 12.0 |
P1-2H | 1.0 | 3.1 | 1.48 | 1.13 | 0.61 | 0.42 | 30 | 30 | – | 1.47 | AS | 7.44 |
P1-3H | 1.0 | 3.7 | 1.63 | 1.15 | 0.64 | 0.46 | 30 | 30 | – | 1.70 | AS | 12.0 |
P1-4H | 1.0 | 4.4 | 1.80 | 1.21 | 0.68 | 0.50 | 30 | 30 | – | 1.84 | AS | 7.71 |
P1-5H | 1.0 | 5.1 | 1.97 | 1.25 | 0.73 | 0.54 | 29 | 29 | – | 2.01 | SL | 9.45 |
P1-6H | 1.0 | 5.8 | 2.14 | 1.32 | 0.78 | 0.58 | 29 | 29 | – | 2.13 | SL | 9.44 |
P1-1M | 1.0 | 2.6 | 1.42 | 0.98 | 0.58 | 0.38 | 29 | 29 | 29 | 1.59 | AS | 6.65 |
P1-2M | 1.0 | 3.1 | 1.58 | 1.08 | 0.63 | 0.42 | 28 | 28 | 28 | 1.66 | AS | 7.18 |
P1-2Mh | 1.0 | 34.9 | 1.56 | 0.68 | 0.38 | 0.42 | 96 | 96 | 96 | 19.9 | (SL) | 4.41 |
P1-3M | 1.0 | 3.7 | 1.72 | 1.13 | 0.67 | 0.46 | 29 | 29 | 29 | 1.77 | AS | 5.84 |
P1-3Mh | 1.0 | 41.5 | 1.73 | 0.74 | 0.41 | 0.46 | 94 | 94 | 94 | 20.9 | SL | 5.46 |
P1-4M | 1.0 | 4.4 | 1.87 | 1.20 | 0.71 | 0.50 | 28 | 28 | 28 | 1.92 | SL | 5.69 |
P1-5M | 1.0 | 5.1 | 2.03 | 1.26 | 0.76 | 0.54 | 28 | 28 | 28 | 2.03 | SL | 6.40 |
P1-6M | 1.0 | 5.8 | 2.19 | 1.33 | 0.80 | 0.58 | 28 | 28 | 28 | 2.12 | SL | 5.90 |
P10-1M | 10 | 2.6 | 1.75 | 0.99 | 0.58 | 0.38 | 23 | 233 | 23 | 13.4 | AS | 4.53 |
P10-2M | 10 | 3.1 | 1.98 | 1.06 | 0.64 | 0.42 | 23 | 227 | 23 | 14.4 | AS | 4.36 |
P10-3M | 10 | 3.7 | 2.16 | 1.16 | 0.70 | 0.46 | 23 | 227 | 23 | 15.0 | AS | 4.41 |
P10-4M | 10 | 4.4 | 2.31 | 1.26 | 0.74 | 0.50 | 23 | 229 | 23 | 15.1 | AS | 5.90 |
P10-5M | 10 | 5.1 | 2.53 | 1.31 | 0.80 | 0.54 | 23 | 226 | 23 | 16.3 | (AS) | 4.36 |
P10-6M | 10 | 5.8 | 2.68 | 1.40 | 0.84 | 0.58 | 23 | 228 | 23 | 16.7 | (SL) | 5.69 |
P10-7M | 10 | 6.6 | 2.80 | 1.46 | 0.88 | 0.62 | 23 | 234 | 23 | 16.9 | (AS) | 3.50 |
P10-8M | 10 | 7.5 | 3.10 | 1.56 | 0.95 | 0.65 | 22 | 224 | 22 | 17.7 | SL | 3.53 |
P10-9M | 10 | 8.4 | 3.28 | 1.62 | 1.00 | 0.69 | 22 | 228 | 22 | 18.1 | SL | 7.03 |
Notes. Hydrodynamic (MHD) runs are denoted by the suffix H (M). Most of the runs use a grid resolution 128 × 288 × 144, the exception being runs denoted by the suffix h, where resolution 256 × 576 × 288 was used. The Rayleigh number in most runs is 7.0 × 108, expect in the higher-resolution runs, denoted by suffix h, where it is Ra = 2.4 × 109. Co, Coℓ, Coω, and Co⋆ denote the definitions of the Coriolis number given by Eqs. (25), (27), (28), and (30). PrM = 1 in all runs except in P01-4M and P01-6M where PrM = 1.67, and in P01-5M where PrM = 1.43 to obtain growing dynamos. The penultimate column denotes the type of differential rotation with parenthesis indicating that the result is not statistically significant. The last column denotes the length of the time averages in units of 103τff.
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