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Table 1

Main parameters of the simulations discussed in the paper.

Run rmax (Nr, Nθ, Nϕ) n0 p0 BI B0 Ω
1 no wind 26 (24 geom,24,48) 4 0.24 0 100 0.78
2 – wind 54 (20 geom,16,32) 1 0.59 0 1648 3.14
3 – wind + IMF Y 54 (20 geom,16,32) 1 0.59 3.46 1648 3.14
4 – wind 54 (96 const,24,48) 1 1 0 1648 6.42

Notes.The plasma surrounding the rotating dipole is characterised by a magnetic field intensity BI, a number density nI = 1, a sound speed cs,I = 1, and a fluid velocity vI = 20 (except for simulation 1 where vI = 0). Normalisation is such that is the Alfvén velocity and , the sound speed (here we use γ = 5∕3). The numerical grid is a spherical regular one with Nr, Nθ, Nϕ grid points. Grid points spacing is constant in θ and ϕ, and it is either constant (“const”) or geometrically increasing away from the centre (“geom”). Quantities n0, p0 refer to the plasma density and pressure at the inner boundary (the planetary surface, located at r = 1). B0 is the dipole strength at the magnetic equator and distance r = 1. Finally, Ω is the angular velocity of the rotating dipole.

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