Time evolution of the magnetic field strength over time (normalised in units of the diffusion timescale of the stationary model at the outer DZ boundary, t_diff, stat(r_DZ, out)), where the colour-coding represents the magnetic field strength, |B|, at every point in space and time. The gray lines show magnetic flux transport over time, using the effective, vertically averaged magnetic field transport velocity, ${\overline{\overline{u}}}_{\psi }$. The dashed white lines denote the inner and outer boundary of the DZ, respectively, whereas the black full line denotes the diffusion timescale, t_diff, stat, of our stationary model. The inner DZ boundary is located very close to the inner disk rim.