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Table 2.

Input and diagnostics of the MHD barotropic runs.

1283 ν η B0(G) Ω ϕ0 Δt R tturn kω/kf Re (Rm) Reω urot/utot
M_0_128 2 × 10−4 2 × 10−4 10−6 0 1 0.02 0.2 1.32 0.04693 38.0 1.78 0.039
M_1_128 2 × 10−4 2 × 10−4 10−6 1 1 0.02 0.2 1.12 0.190 44.8 8.53 0.131
M_2_128 2 × 10−4 2 × 10−4 10−6 2 1 0.02 0.2 0.84 0.385 59.6 22.9 0.284
M_3_128 2 × 10−4 2 × 10−4 10−6 3 1 0.02 0.2 0.77 0.543 64.6 35.1 0.417
M_4_128 2 × 10−4 2 × 10−4 10−6 4 1 0.02 0.2 0.76 0.606 65.6 39.7 0.481
M_5_128 2 × 10−4 2 × 10−4 10−6 5 1 0.02 0.2 0.78 0.642 64.0 41.1 0.524

M_0_128_Pr 2 × 10−3 2 × 10−5 10−6 0 1 0.02 0.2 1.93 0.00565 2.6 (259.4) 0.01
M_2_128_Pr 2 × 10−3 2 × 10−5 10−6 2 1 0.02 0.2 1.86 0.29462 2.7 (269.2) 0.79

2563 ν η B0(G) Ω ϕ0 Δt R tturn kω/kf Re (Rm) Reω urot/utot
M_0 2 × 10−4 2 × 10−4 10−6 0 1 0.02 0.2 1.42 0.01820 35.3 0.64 0.014
M_0s 2 × 10−4 2 × 10−4 10−6 0 1 1 0.2 4.32 0.00061 11.6 0.007
M_0c 2 × 10−4 2 × 10−4 10−6 0 1 δt 0.2 1.46 0.01609 34.3 0.55
M_0low ( † ) 2 × 10−5 2 × 10−5 10−6 0 1 0.02 0.2 3.05 0.5913 163.8 97.03
M_0low_F2 ( † ) 2 × 10−5 2 × 10−5 10−6 0 2 0.02 0.2 1.03 1.4231 486.9 708.34
M_0lowc 2 × 10−5 2 × 10−5 10−6 0 1 δt 0.2 1.38 0.08582 362.6 31.12
M_0highcF10 2 × 10−2 2 × 10−2 10−6 0 10 δt 0.2 0.61 0.03443 0.81 0.028

M_2 2 × 10−4 2 × 10−4 10−6 2 1 0.02 0.2 0.84 0.3809 59.2 22.55 0.292
M_2c 2 × 10−4 2 × 10−4 10−6 2 1 δt 0.2 0.85 0.38179 58.5 22.35
M_2W0.5 ( † ) 2 × 10−4 2 × 10−4 10−6 2 1 δt 0.5 0.29 0.64222 171.7 110.24
M_2low ( † ) 2 × 10−5 2 × 10−5 10−6 2 1 0.02 0.2 2.91 1.60296 171.8 276.5

M_0W0.1 2 × 10−2 2 × 10−2 10−9 0 1 0.02 0.1 13.25 0.00073 0.0094 0.00001
M_0W0.2 2 × 10−2 2 × 10−2 10−9 0 1 0.02 0.2 6.51 0.00348 0.0077 0.00027
M_0W0.5 2 × 10−2 2 × 10−2 10−9 0 1 0.02 0.5 2.79 0.00177 1.12 0.0198
M_0W1 2 × 10−2 2 × 10−2 10−9 0 1 0.02 1.0 1.96 0.05571 6.37 0.355

2563 ν η B0(U) Ω ϕ0 Δt R tturn kω/kf Re (Rm) Reω urot/utot

M_0B 2 × 10−4 2 × 10−4 10−2 0 1 0.02 0.2 1.42 0.01820 35.3 0.64
M_2Bxs 2 × 10−4 2 × 10−4 10−6 2 1 1 0.2 3.93 0.39751 12.7 5.05
M_2Bx 2 × 10−4 2 × 10−4 10−2 2 1 0.02 0.2 0.85 0.3809 59.2 22.54
M_2By 2 × 10−4 2 × 10−4 10−2 2 1 0.02 0.2 0.85 0.3808 59.2 22.53
M_2Bz 2 × 10−4 2 × 10−4 10−2 2 1 0.02 0.2 0.84 0.3821 59.2 22.63

5123 ν η B0(G) Ω ϕ0 Δt R tturn kω/kf Re (Rm) Reω urot/utot

M_0_512 2 × 10−4 2 × 10−4 10−6 0 1 0.02 0.2 1.47 0.00566 34.0 0.19 0.012

Notes. We indicate the initial amplitude of the magnetic field B0 along with (‘G’) for random values for the potential vector components or (‘Ui’) for a uniform distribution in a given direction i = {x, y, z}. The included diagnostic magnitudes are: turnover time, vorticity proxy kω/kf, Re (and Rm if Pm ≠1), and Reω. The last column corresponds to the rotational flow contribution obtained using the Helmholtz decomposition only for some specific runs. The blue highlighted values are used to perform the linear fit kω/kf(Ω) discussed in the text. The four simulations marked with ( † ) became numerically unstable before reaching a fully steady saturated state: we still indicate their diagnostics, even if it is not completely comparable to the others.

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