Left panel: a quadrupolar disk field and a dipolar stellar magnetosphere. Right panel: a bipolar disk field and a quadrupolar stellar magnetosphere. The northern hemisphere of either case is referred to as a parallel configuration, whereas the southern as an anti-parallel. The dashed line indicates the surface that separates the disk wind from the stellar outflow. The simulations do not include the central region of the YSO, so we do not attempt to describe the star-disk interaction that takes place inside the gray ellipse. In addition, the requirement of ∇·B = 0 means that field lines must return along the accretion disk.