Model setup. In panel a we show the initial condition of the magnetic field through the field lines in the 2D computational domain following Eq. (5). Panel b: displays the vertical component of the magnetic field at the bottom boundary at z = 0. The magnetic field is driven in the positive x-direction with a Gaussian-type velocity profile v₀(x) as defined in Eq. (8) and depicted in panel c. The peak value of the driving velocity v_d(t), given through Eq. (9), is shown in panel d. While panel a shows the full computational domain, the red dashed rectangle indicates the region of interest displayed in Fig. 2. See Sect. 2 for details.