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Table 1

Specifying the simulation parameters for the convective flows.

Run λ Grid γ m θ κ σ Ra Re U rms t conv ρ mid

A1 4 256 × 256 × 96 5/3 1.0 3.0 0.00548 1.5 2.0 × 105 93 0.315 3.17 2.418
A2 4 256 × 256 × 96 5/3 1.0 3.0 0.00548 1.0 3.0 × 105 160 0.363 2.75 2.416
A3 4 256 × 256 × 120 5/3 1.0 3.0 0.00548 0.5 6.0 × 105 344 0.390 2.56 2.416
A4 4 256 × 256 × 120 5/3 1.0 3.0 0.00548 0.375 8.0 × 105 483 0.411 2.43 2.416

B1 10 512 × 512 × 96 5/3 1.0 3.0 0.00548 1.5 2.0 × 105 95 0.322 3.10 2.420
B2 10 512 × 512 × 96 5/3 1.0 3.0 0.00548 1.0 3.0 × 105 156 0.353 2.83 2.417
B3 10 512 × 512 × 120 5/3 1.0 3.0 0.00548 0.5 6.0 × 105 350 0.397 2.52 2.416
B4 10 512 × 512 × 120 5/3 1.0 3.0 0.00548 0.375 8.0 × 105 485 0.413 2.42 2.414

C1 20 512 × 512 × 96 5/3 1.0 3.0 0.00548 1.5 2.0 × 105 95 0.322 3.10 2.421
C2 20 512 × 512 × 96 5/3 1.0 3.0 0.00548 1.0 3.0 × 105 156 0.353 2.83 2.419

Notes. The parameters are as defined in the text – the quoted values for Re, Urms, tconv, ρmid have all been time-averaged. Grid resolutions are given in the form Nx × Ny × Nz. Some of the higher Rm dynamo calculations are carried out on a 2Nx × 2Ny × Nz grid (where necessary, the interpolation of the flow onto a finer mesh is carried out in Fourier space before the magnetic field is introduced).

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