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Table 1.

Initial conditions and parametrization of the setup used in our simulations.

Parameter Value
Physical setup Central star

Mass M 6 M
Radius R 3 R
Magnetic field B 6.2 kG
Break-up speed Ω br = G M / R 3 $ \Omega_{\mathrm{br}} =\sqrt{GM_\star/R_\star^3} $ 2.966 × 10−4 s−1
Stellar rotating rate Ω 0.1Ωbr

Disk

Initial density ρd0 1 × 10−13 g cm−3
Aspect ratio h 0.1
Viscosity αν 1.0R02Ω
Magnetic resistivity αm 1.0R02Ω

Corona

Initial density ρatm0 1 × 10−15 g cm−3
Viscosity αν 0.0
Magnetic resistivity αm 0.0

Computational setup Mesh

Radial extension R [1R, 60R]
Colatitude extension θ [0, π]
Radial resolution NR 436 cells
Colatitude resolution Nθ 200 cells
Radial spacing log logarithmic

Normalization

Length R0 = R 2.087 × 1011 cm
Density ρ0 = ρd0 1 × 10−13 g cm−3
Velocity V K 0 = G M / R 0 $ V_{K0}=\sqrt{GM_\star/R_0} $ 6.193 × 107 cm/s
Time t0 = R0/vK0 3.37 × 103 s
Rotation period T0 = 2πt0 2.12 × 104 s
Reference field B 0 = 4 π ρ d 0 V K 0 2 $ B_{0}=\sqrt{4\pi\rho_{d0} V_{K0}^{2}} $ 69.42 G
Star magnetic field B = μB0 6.2 kG with μ = 89.3
Accretion Rate M ˙ 0 = ρ 0 V K 0 R 0 2 $ \dot{M}_0={\rho_{0} V_{K0}R_0^{2}} $ 4.257 × 10−9M yr−1

Notes. The parameter μ appearing in B specifies the ratio between the stellar surface magnetic field and the reference magnetic field strength.

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