Table 1.
Summary of all ideal-MHD simulations.
sg-mhd-2 | sg-mhd-tau10 | sg-mhd-tau20 | sg-mhd-tau20-Lz6 | MRI-compare | |
---|---|---|---|---|---|
Lx × Ly × Lz | 20 × 20 × 8 H | 20 × 20 × 8 H | 20 × 20 × 8 H | 20 × 20 × 6 H | 2 × 4 × 8 H |
Nx × Ny × Nz | 440 × 440 × 170 | 440 × 440 × 170 | 440 × 440 × 170 | 500 × 500 × 150 | 50 × 100 × 200 |
CFL | 0.06 | 0.3 | 0.3 | 0.3 | 0.1 |
γ | 1.64 | 1.64 | 1.64 | 1.64 | 1.64 |
τcΩ0 | 10 | 10 | 20 | 20 | – |
Q0 (heating) | 0.75 | 0 | 0 | 0 | – |
⟨ρ⟩ | 0.0536 | 0.0556 | 0.0556 | 0.0531 | 0.2408 |
ρmin, Pmin | 10−4, 6.1 × 10−5 | 6 × 10−5, 3.7 × 10−5 | 10−4, 6.1 × 10−5 | 3.2 × 10−5, 2.0 × 10−5 | 10−4, 0 |
Interval in ![]() |
700 − 1000 | 1000 − 1500 | 800 − 1300 | 800 − 1100 | 100 − 1000 |
⟨⟨Q⟩⟩t | 1.138 | 1.113 | 1.187 | 1.281 | – |
⟨⟨β⟩⟩t | 16.43 | 11.66 | 12.23 | 12.42 | 17.09 |
⟨⟨cs⟩⟩t | 1.525 | 1.547 | 1.650 | 1.276 | 1.0 |
⟨αr⟩t | 0.0074 | 0.01364 | 0.0069 | 0.0070 | 0.0023 |
⟨αm⟩t | 0.0092 | 0.01357 | 0.0119 | 0.0111 | 0.0088 |
⟨αg⟩t | 0.0095 | 0.0183 | 0.0067 | 0.0075 | – |
⟨α⟩t | 0.0261 | 0.0455 | 0.0255 | 0.0256 | 0.0112 |
⟨αcool⟩t | 0.0241 | 0.0423 | 0.0212 | 0.0212 | – |
⟨rsp⟩t | 0.3426 | 0.3677 | 0.3190 | 0.3206 | 0.3487 |
Notes. The first five lines provide general simulation settings (box size, grid points, Courant number, cooling time, and background Toomre parameter). The form of the cooling law is provided in Eq. (5), and in all GI simulations, except sg-mhd-2, the second term in Eq. (5) (heating) was turned off. The pure-MRI simulation, MRI-compare, uses an isothermal equation of state. In cases with heating, the amount of heating is quantified by the background Toomre parameter Q0 (see the discussion in Sects. 2 and 3). The remaining lines provide a selection of important, volume- and time-averaged, dimensionless quantities. The corresponding time intervals are shown in the fifth line, and the latter are chosen such that they reasonably cover the saturated phases. Hence, the last included time point is also the last time point of the simulation.
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