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Table B.1

Overview of the simulations carried out, ordered with respect to their local Rossby number.

Model E Ra Pm Pr χ N ϱ R o ℓ Rm Lo f dip f ohm Nu
1m 1 × 10-4 5.00 × 106 2.0 2 0.35 3.0 1.54 × 10-2 34 1.10 × 10-3 0.07 0.05 1.3
2m 1 × 10-4 5.00 × 106 3.0 2 0.35 3.0 1.69 × 10-2 57 2.06 × 10-3 0.55 0.09 1.4
3m 1 × 10-4 5.00 × 106 4.0 2 0.35 3.0 1.80 × 10-2 78 2.35 × 10-3 0.26 0.12 1.4
4m 1 × 10-4 5.00 × 106 5.0 2 0.35 3.0 1.80 × 10-2 95 2.21 × 10-3 0.28 0.11 1.4
5m 1 × 10-4 2.00 × 106 1.0 1 0.35 0.5 2.52 × 10-2 65 2.16 × 10-3 0.43 0.08 1.5
6d 2 × 10-3 8.00 × 104 50 1 0.35 3.0 2.71 × 10-2 240 8.38 × 10-3 0.83 0.01 1.1
7d 5 × 10-5 1.50 × 107 2.0 1 0.35 1.5 2.72 × 10-2 128 3.89 × 10-3 0.79 0.31 1.6
7m 5 × 10-5 1.50 × 107 2.0 1 0.35 1.5 2.51 × 10-2 164 2.84 × 10-3 0.20 0.22 1.6
8m 1 × 10-4 2.00 × 106 1.5 1 0.35 0.5 2.77 × 10-2 83 3.08 × 10-3 0.39 0.13 1.7
9d 3 × 10-4 4.00 × 105 3.0 1 0.35 0.5 2.94 × 10-2 78 8.78 × 10-3 0.85 0.28 1.5
10d 1 × 10-4 7.64 × 105 2.0 1 0.60 1.5 3.19 × 10-2 44 2.89 × 10-3 0.78 0.14 1.2
10m 1 × 10-4 7.64 × 105 2.0 1 0.60 1.5 3.12 × 10-2 42 2.03 × 10-3 0.35 0.11 1.2
11d 1 × 10-4 2.78 × 106 2.0 1 0.35 1.5 3.39 × 10-2 104 5.72 × 10-3 0.78 0.26 1.6
12d 3 × 10-5 1.96 × 107 2.0 1 0.35 2.0 3.39 × 10-2 213 3.87 × 10-3 0.68 0.32 2.1
12m 3 × 10-5 1.96 × 107 2.0 1 0.35 2.0 3.33 × 10-2 207 3.02 × 10-3 0.24 0.23 2.0
13d 1 × 10-4 6.14 × 106 2.0 1 0.60 1.0 3.41 × 10-2 49 2.75 × 10-3 0.68 0.12 1.2
13m 1 × 10-4 6.14 × 106 2.0 1 0.60 1.0 3.44 × 10-2 49 2.32 × 10-3 0.05 0.12 1.2
14m 1 × 10-4 2.50 × 106 1.5 1 0.35 0.5 3.51 × 10-2 106 4.59 × 10-3 0.49 0.19 2.0
15d 1 × 10-4 4.01 × 106 3.0 1 0.35 2.5 3.76 × 10-2 144 6.74 × 10-3 0.52 0.24 1.7
15m 1 × 10-4 4,01 × 106 3.0 1 0.35 2.5 4.51 × 10-2 182 6.48 × 10-3 0.47 0.23 1.7
16d 1 × 10-4 5,00 × 106 4.0 1 0.35 3.0 3.76 × 10-2 182 6.64 × 10-3 0.47 0.23 1.5
17d 1 × 10-4 3.00 × 106 2.0 1 0.35 0.5 3.90 × 10-2 148 8.15 × 10-3 0.75 0.37 2.3
18d 1 × 10-4 3.01 × 106 1.5 1 0.35 0.5 4.00 × 10-2 112 7.83 × 10-3 0.87 0.35 2.3
18m 1 × 10-4 3.01 × 106 1.5 1 0.35 0.5 4.32 × 10-2 127 6.09 × 10-3 0.39 0.23 2.3
19m 5 × 10-5 2.52 × 107 2.0 2 0.35 3.0 4.46 × 10-2 176 4.62 × 10-3 0.30 0.26 3.4
20d 1 × 10-4 3.40 × 106 1.0 1 0.35 1.0 4.71 × 10-2 80 8.55 × 10-3 0.86 0.37 2.4
20m 1 × 10-4 3.40 × 106 1.0 1 0.35 1.0 4.62 × 10-2 97 5.93 × 10-3 0.32 0.24 2.3
21d 3 × 10-4 6.08 × 105 3.0 1 0.35 1.0 4.86 × 10-2 115 1.27 × 10-2 0.64 0.31 1.9
22d 1 × 10-4 3.40 × 106 1.5 1 0.35 1.0 4.88 × 10-2 124 8.76 × 10-3 0.75 0.35 2.4
22m 1 × 10-4 3.40 × 106 1.5 1 0.35 1.0 4.78 × 10-2 132 6.62 × 10-3 0.39 0.25 2.3
23m 1 × 10-4 1.00 × 107 3.0 2 0.35 3.0 5.13 × 10-2 203 6.26 × 10-3 0.14 0.19 3.6
24d 1 × 10-4 4.00 × 106 2.0 1 0.35 1.5 5.30 × 10-2 170 8.37 × 10-3 0.69 0.33 2.6
25d 3 × 10-4 1.00 × 106 3.0 1 0.35 2.5 5.36 × 10-2 226 1.17 × 10-2 0.75 0.21 1.6
26m 1 × 10-4 1.14 × 107 2.0 1 0.60 2.0 5.38 × 10-2 70 3.41 × 10-3 0.24 0.14 1.4
27m 1 × 10-4 1.00 × 107 3.0 2 0.35 3.0 5.46 × 10-2 205 6.24 × 10-3 0.21 0.19 3.6
28d 3 × 10-4 8.00 × 105 3.0 1 0.35 0.5 6.06 × 10-2 161 2.14 × 10-2 0.76 0.41 2.5
29d 1 × 10-4 5.00 × 106 3.0 1 0.35 2.0 6.10 × 10-2 270 1.00 × 10-2 0.61 0.36 2.6
30m 1 × 10-4 5.00 × 106 1.0 1 0.35 1.7 6.50 × 10-2 100 8.06 × 10-3 0.5 0.26 2.6
31d 1 × 10-4 5.00 × 106 1.0 1 0.35 0.5 6.70 × 10-2 126 1.41 × 10-2 0.83 0.48 3.8
31m 1 × 10-4 5.00 × 106 1.0 1 0.35 0.5 7.10 × 10-2 140 1.05 × 10-2 0.45 0.34 3.8
32d 1 × 10-4 5.00 × 106 2.0 1 0.35 1.5 6.70 × 10-2 220 1.16 × 10-2 0.65 0.40 3.2
33d 1 × 10-4 5.00 × 106 3.0 1 0.35 1.7 6.70 × 10-2 300 1.08 × 10-2 0.63 0.37 2.9
34d 1 × 10-4 5.00 × 106 2.0 1 0.35 1.7 6.80 × 10-2 200 1.07 × 10-2 0.67 0.35 3.0
35d 3 × 10-4 6.08 × 105 3.0 1 0.35 1.5 6.99 × 10-2 160 1.78 × 10-2 0.59 0.34 2.3
36d 1 × 10-4 8.00 × 106 4.0 1 0.35 3.0 7.00 × 10-2 380 1.41 × 10-2 0.62 0.40 2.9
37d 3 × 10-4 1.05 × 106 3.0 1 0.35 2.0 7.21 × 10-2 152 1.60 × 10-2 0.67 0.31 2.1
38m 1 × 10-4 1.20 × 107 5.0 1 0.35 4.0 7.22 × 10-2 458 1.15 × 10-2 0.19 0.32 2.6
39d 1 × 10-4 5.55 × 106 2.0 1 0.35 1.5 7.40 × 10-2 247 1.52 × 10-2 0.63 0.49 3.6
40d 1 × 10-4 6.00 × 106 1.0 1 0.35 0.5 8.00 × 10-2 150 1.64 × 10-2 0.82 0.49 4.7
41d 1 × 10-4 1.00 × 107 5.0 1 0.35 3.5 8.20 × 10-2 500 1.23 × 10-2 0.63 0.33 3.2
42d 1 × 10-4 6.50 × 106 1.0 1 0.35 1.5 8.80 × 10-2 150 1.64 × 10-2 0.77 0.45 4.6
43d 1 × 10-4 7.00 × 106 2.0 1 0.35 2.0 8.80 × 10-2 280 1.64 × 10-2 0.66 0.46 4.3
44m 1 × 10-4 7.00 × 106 1.0 1 0.35 2.0 9.05 × 10-2 140 1.18 × 10-2 0.04 0.34 3.7
45d 1 × 10-3 2.50 × 105 3.0 1 0.35 2.5 9.07 × 10-2 87 2.76 × 10-2 0.82 0.23 1.7
45m 1 × 10-3 2.50 × 105 3.0 1 0.35 2.5 6.35 × 10-2 86 2.17 × 10-2 0.31 0.19 1.6
46m 1 × 10-4 6.00 × 106 1.0 1 0.35 0.5 9.20 × 10-2 170 1.26 × 10-2 0.52 0.35 4.6
47d 3 × 10-4 1.50 × 106 3.0 1 0.35 2.5 9.35 × 10-2 191 2.29 × 10-2 0.59 0.37 2.6
47m 3 × 10-4 1.50 × 106 3.0 1 0.35 2.5 8.67 × 10-2 234 1.67 × 10-2 0.39 0.22 2.2
48m 3 × 10-4 2.52 × 106 3.0 1 0.55 2.0 9.81 × 10-2 112 1.12 × 10-2 0.27 0.21 1.8
49d 3 × 10-4 1.40 × 106 3.0 1 0.35 2.0 1.01 × 10-1 221 2.47 × 10-2 0.51 0.36 2.8
50d 3 × 10-4 1.50 × 106 3.0 1 0.35 1.5 1.09 × 10-1 265 3.18 × 10-2 0.67 0.45 3.7
51d 1 × 10-4 8.00 × 106 1.0 1 0.35 1.5 1.10 × 10-1 190 1.97 × 10-2 0.77 0.49 5.8
52d 1 × 10-4 1.52 × 107 3.0 1 0.55 2.0 1.13 × 10-1 369 2.10 × 10-2 0.64 0.54 4.3
53d 3 × 10-4 2.05 × 106 3.0 1 0.45 2.0 1.14 × 10-1 186 2.27 × 10-2 0.60 0.35 2.6
54d 1 × 10-3 3.00 × 105 3.0 1 0.35 2.5 1.19 × 10-1 108 4.14 × 10-2 0.74 0.33 2.2
54m 1 × 10-3 3.00 × 105 3.0 1 0.35 2.5 1.13 × 10-1 114 2.97 × 10-2 0.27 0.28 2.1
55d 3 × 10-4 2.00 × 106 3.0 1 0.35 2.5 1.22 × 10-1 277 2.91 × 10-2 0.56 0.38 3.6
56d 3 × 10-4 2.39 × 106 3.0 1 0.45 2.0 1.29 × 10-1 215 2.73 × 10-2 0.59 0.42 3.1
56m 3 × 10-4 2.39 × 106 3.0 1 0.45 2.0 1.25 × 10-1 243 2.05 × 10-2 0.32 0.29 3.3
57m 3 × 10-4 2.08 × 106 3.0 1 0.35 2.5 1.30 × 10-1 291 2.71 × 10-2 0.32 0.36 3.7
58m 3 × 10-4 2.50 × 106 3.0 1 0.35 3.0 1.28 × 10-1 272 2.58 × 10-2 0.26 0.35 3.4
59m 3 × 10-4 5.00 × 105 2.0 2 0.35 3.0 1.34 × 10-1 191 1.98 × 10-2 0.28 0.29 5.4
60m 3 × 10-4 3.50 × 106 3.0 1 0.35 3.5 1.41 × 10-1 294 2.58 × 10-2 0.17 0.34 3.6
61m 3 × 10-4 2.85 × 106 3.0 1 0.35 3.0 1.43 × 10-1 314 2.79 × 10-2 0.21 0.36 3.8
62m 3 × 10-4 2.50 × 106 3.0 1 0.35 2.5 1.47 × 10-1 342 3.15 × 10-2 0.28 0.39 4.2
63m 1 × 10-4 1.10 × 107 1.0 1 0.35 2.5 1.50 × 10-1 240 1.58 × 10-2 0.28 0.37 5.2
64m 3 × 10-4 3.78 × 106 3.0 1 0.55 2.0 1.52 × 10-1 200 1.92 × 10-2 0.17 0.31 2.7
65m 1 × 10-3 4.00 × 105 3.0 1 0.35 2.5 1.66 × 10-1 162 4.39 × 10-2 0.26 0.26 2.6
66m 2 × 10-3 2.00 × 105 3.0 1 0.35 2.5 2.18 × 10-1 150 4.66 × 10-2 0.19 0.17 2.6

Notes. In case of bistable pairs, the local Rossby number of the dipolar model was considered to create the sequence. Kinematic stability: out of the 13 models tested, the kinematically stable are model16d, model37d, model45d, model54d, model55d, and model56d, and the kinematically unstable are model2m, model5m, model8m, model14m, model18m, model65m, and model66m. Models with a considerable equatorial dipole field are model2m, model5m, model8m, model14m, model18m, model22m, model27m, model30m, model31m, model45m, model46m, and model56m.

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