Open Access

Table B.3.

Set of simulations used in this work. The third last columns provide the time- and volume-averaged global Rossby number Ro = urmsd, Reynolds number Re = Ro/E, and Nusselt number Nu. Here, urms is the time-and volume-averaged root mean squared total velocity. The (/) symbol for Pm indicates hydrodynamic runs.

Nρ Pr E Ra/Rac Pm Ro Re Nu
3 1 3 × 10−5 1.7 0.5 0.0030 101 1.71
3 1 3 × 10−5 1.7 1 0.0029 97 1.83
3 1 3 × 10−5 1.7 2 0.0031 104 1.73
3 1 3 × 10−5 1.7 3 0.0029 98 1.84
3 1 3 × 10−5 2.5 0.5 0.0062 207 2.81
3 1 3 × 10−5 2.5 1 0.0055 183 2.82
3 1 3 × 10−5 2.5 2 0.0057 189 2.95
3 1 3 × 10−5 2.5 3 0.0053 178 2.85
3 1 3 × 10−5 2.5 4 0.0045 149 2.73
3 1 3 × 10−5 3.7 1 0.0095 318 4.85
3 1 3 × 10−5 3.7 3 0.0090 301 5.30

3 0.3 3 × 10−5 2.8 0.5 0.0075 251 1.49
3 0.3 3 × 10−5 2.8 1 0.0079 262 1.70
3 0.3 3 × 10−5 2.8 2 0.0072 240 1.66
3 0.3 3 × 10−5 3.4 0.5 0.010 338 1.86

3 0.3 3 × 10−5 3.4 1 0.0090 300 1.94
3 0.3 3 × 10−5 3.4 2 0.0082 274 2.10
3 0.3 3 × 10−5 4.1 0.5 0.015 496 2.35
3 0.3 3 × 10−5 4.1 1 0.014 463 2.90
3 0.3 3 × 10−5 4.1 2 0.010 341 2.50

3.5 1 10−4 2.8 0.5 0.014 142 2.86
3.5 1 10−4 2.8 1 0.013 132 2.80
3.5 1 10−4 2.8 5 0.013 134 3.16
3.5 1 10−4 5.5 0.25 0.031 310 5.46
3.5 1 10−4 5.5 0.5 0.032 316 5.70
3.5 1 10−4 5.5 1 0.030 299 5.80
3.5 1 10−4 5.5 5 0.024 241 5.65

4 0.3 3 × 10−5 2.5 0.5 0.0071 235 1.25
4 0.3 3 × 10−5 2.5 2 0.0058 193 1.51
4 0.3 3 × 10−5 3 0.3 0.015 491 1.12
4 0.3 3 × 10−5 3 0.5 0.0091 303 1.50
4 0.3 3 × 10−5 3 2 0.0070 235 1.52
4 0.3 3 × 10−5 6.3 0.1 0.026 854 3.25
4 0.3 3 × 10−5 6.3 0.15 0.025 828 3.63
4 0.3 3 × 10−5 6.3 0.3 0.024 805 3.72
4 0.3 3 × 10−5 6.3 0.5 0.023 775 3.90
4 0.3 3 × 10−5 6.3 1 0.021 707 4.00
4 0.3 3 × 10−5 6.3 2 0.022 735 3.80
4 0.3 3 × 10−5 2.5 0.5 0.0071 235 1.25
4 0.3 3 × 10−5 2.5 2 0.0058 193 1.51
4 0.3 3 × 10−5 3 0.3 0.015 491 1.12
4 0.3 3 × 10−5 3 0.5 0.0091 303 1.50
4 0.3 3 × 10−5 3 2 0.0070 235 1.52
4 1 10−4 9.8 0.15 0.062 622 7.29
4 1 10−4 9.8 0.25 0.049 490 7.75
4 1 10−4 9.8 1 0.045 452 7.75
4 1 10−4 9.8 2 0.040 396 7.76
4 1 10−4 9.8 3 0.036 363 7.78
4 1 10−4 29 / 0.23 2300 12.4
4 1 10−4 29 0.15 0.23 2275 17.2
4 1 10−4 29 0.25 0.33 3300 16.0
4 1 10−4 29 1 0.042 420 14.5

5 1 10−4 4.2 0.25 0.022 221 2.35

5 1 10−4 4.2 1 0.016 163 2.65
5 1 10−4 4.2 5 0.014 138 2.82
5 1 10−4 6.2 0.25 0.026 264 3.48
5 1 10−4 6.2 0.4 0.024 242 3.90
5 1 10−4 6.2 1 0.024 238 3.75
5 1 10−4 6.2 2 0.024 235 4.05
5 1 10−4 6.2 3 0.023 226 4.00
5 1 10−4 6.2 5 0.019 190 3.80
5 1 10−4 8.3 0.25 0.032 319 4.32
5 1 10−4 8.3 0.4 0.028 282 5.03
5 1 10−4 8.3 1 0.026 263 5.00
5 1 10−4 8.3 2 0.027 270 4.80
5 1 10−4 8.3 3 0.028 282 4.90
5 1 10−4 16 0.25 0.16 1586 5.60
5 1 10−4 16 1 0.048 483 6.90
5 1 10−4 16 2 0.044 439 7.05
5 1 10−4 32 0.25 0.46 4550 20.5
5 1 10−4 32 1 0.11 1056 16.1
6 1 3 × 10−4 3 / 0.021 70 1.39
6 1 3 × 10−4 3 6 0.017 57 1.43
6 1 3 × 10−4 4 1 0.035 117 1.70
6 1 3 × 10−4 4 2 0.028 94 1.75
6 1 3 × 10−4 4 3 0.024 81 1.81
6 1 3 × 10−4 8 / 0.087 288 2.42
6 1 3 × 10−4 8 1 0.047 155 2.62
6 1 3 × 10−4 8 2 0.043 142 2.73
6 1 3 × 10−4 8 3 0.042 139 2.79
6 1 3 × 10−4 16 / 0.15 505 3.43
6 1 3 × 10−4 16 1 0.15 501 3.32
6 1 3 × 10−4 16 2 0.066 221 3.52
6 1 3 × 10−4 16 3 0.065 218 3.55
6 1 3 × 10−4 32 / 0.18 611 5.51
6 1 3 × 10−4 32 2 0.20 673 4.88

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