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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