Table 1
Summary of the runs.
Run | Ra | Pr | δn | Roc | Re | Co |
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Emer/Ekin | Erot/Ekin |
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Remarks | ||
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A | 3.93 × 105 | 40.4 | 2.50 | 0.73 | 35 | 1.24 | -2.47 | -0.51 | 4.20 | 0.003 | 0.954 | 0.09 | 1.01 | AS | ||
B | 3.54 × 105 | 20.3 | 2.25 | 0.69 | 34 | 1.27 | -2.36 | -0.50 | 3.87 | 0.003 | 0.954 | 0.18 | 0.84 | AS | ||
C | 3.16 × 105 | 13.6 | 2.00 | 0.65 | 33 | 1.33 | -2.28 | -0.49 | 3.60 | 0.003 | 0.955 | 0.30 | 0.66 | AS | ||
D | 2.92 × 105 | 11.3 | 1.85 | 0.63 | 29 | 1.50 | 0.03 | 0.04 | 0.33 | 0.001 | 0.466 | 0.34 | 0.62 | SL | ||
E | 2.77 × 105 | 10.1 | 1.75 | 0.61 | 27 | 1.60 | -0.01 | 0.09 | 0.38 | 0.001 | 0.593 | 0.37 | 0.53 | SL, polar jet | ||
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D0 | 2.92 × 105 | 11.3 | 1.85 | 0.63 | 29 | 1.50 | 0.03 | 0.04 | 0.33 | 0.001 | 0.466 | 0.34 | 0.62 | SL | ||
D1 | 3.16 × 105 | 13.5 | 2.00 | 0.65 | 29 | 1.50 | 0.16 | 0.07 | 0.37 | 0.001 | 0.517 | 0.28 | 0.65 | SL | ||
D2 | 3.31 × 105 | 15.6 | 2.10 | 0.67 | 30 | 1.44 | 0.13 | 0.05 | 0.37 | 0.001 | 0.465 | 0.24 | 0.72 | SL | ||
D3 | 3.47 × 105 | 18.4 | 2.20 | 0.68 | 32 | 1.37 | 0.03 | 0.01 | 0.28 | 0.002 | 0.243 | 0.21 | 0.81 | SL | ||
D4 | 3.62 × 105 | 22.7 | 2.30 | 0.70 | 35 | 1.27 | -2.33 | -0.50 | 3.93 | 0.003 | 0.955 | 0.19 | 0.87 | AS | ||
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B0 | 3.54 × 105 | 20.3 | 2.25 | 0.69 | 34 | 1.27 | -2.36 | -0.50 | 3.87 | 0.003 | 0.954 | 0.18 | 0.84 | AS | ||
B1 | 3.47 × 105 | 18.5 | 2.20 | 0.68 | 34 | 1.27 | -2.26 | -0.50 | 3.92 | 0.002 | 0.956 | 0.24 | 0.85 | AS | ||
B2 | 3.31 × 105 | 15.7 | 2.10 | 0.67 | 33 | 1.31 | -2.27 | -0.50 | 3.87 | 0.003 | 0.958 | 0.27 | 0.77 | AS | ||
B3 | 3.16 × 105 | 13.6 | 2.00 | 0.65 | 33 | 1.34 | -2.18 | -0.49 | 3.67 | 0.003 | 0.958 | 0.31 | 0.71 | AS | ||
B4 | 3.00 × 105 | 12.0 | 1.90 | 0.64 | 32 | 1.37 | -2.15 | -0.49 | 3.54 | 0.003 | 0.958 | 0.34 | 0.64 | AS | ||
B5 | 2.85 × 105 | 10.8 | 1.80 | 0.62 | 31 | 1.41 | -2.06 | -0.49 | 3.38 | 0.003 | 0.958 | 0.38 | 0.59 | AS | ||
B6 | 2.69 × 105 | 9.7 | 1.70 | 0.60 | 30 | 1.45 | -1.98 | -0.48 | 3.16 | 0.003 | 0.957 | 0.41 | 0.54 | AS | ||
B7 | 2.38 × 105 | 8.2 | 1.50 | 0.57 | 28 | 1.54 | -1.86 | -0.47 | 2.83 | 0.003 | 0.958 | 0.48 | 0.44 | AS | ||
B8 | 2.22 × 105 | 7.6 | 1.40 | 0.55 | 27 | 1.60 | -1.76 | -0.45 | 2.63 | 0.003 | 0.958 | 0.51 | 0.39 | AS | ||
B9 | 2.07 × 105 | 7.0 | 1.30 | 0.53 | 22 | 2.01 | 0.04 | 0.12 | 0.25 | 0.001 | 0.632 | 0.54 | 0.28 | SL, polar jets | ||
B10 | 1.59 × 105 | 5.8 | 1.00 | 0.46 | 18 | 2.43 | 0.06 | 0.12 | 0.19 | 0.001 | 0.668 | 0.65 | 0.17 | SL, polar jets | ||
B10b | 1.59 × 105 | 5.8 | 1.00 | 0.46 | 17 | 2.61 | 0.33 | 0.11 | 0.34 | 0.000 | 0.831 | 0.65 | 0.17 | SL |
Notes. All models have PrSGS = 0.25, ℒ = 3.85 × 10-5, Ta = 2.98·106, ξ = 0.0325 corresponding to Γ ≈ 12, Ω0/ Ω⊙ = 1, and use a grid resolution 128 × 256 × 128. With χSGS(r1) = 5 × 108 m2 s-1, we have , and ν = 9.3 × 107 m2 s-1.
is the volume averaged total kinetic energy, in units of GM⊙ρ0/R⊙.
and
are the kinetic energies of the meridional circulation and differential rotation.
and
are the fractions of total flux transported by radiative conduction and resolved convection at r = rm. Runs D and D0, and Runs B and B0 are the same. Run D1 was continued from a snapshot of Run D, whereas the other models in Set D were continued from a relaxed state of D1. In Set B, a snapshot of Run B0 was used as an initial condition. In the last column, AS and SL stand for anti-solar and solar-like differential rotation, respectively.
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