Distributions of open- and closed-field regions derived from the time-evolving (contours) and quasi-steady-state (orange lines) simulation results. All shown in a co-rotating coordinate system, and the white and black patches represent open-field regions with magnetic field lines pointing outward and inward relative to the Sun, respectively. The grey patches indicate closed-field regions. The solid orange lines overlaid on these contours denote the edge of close-field regions derived from the quasi-steady-state simulation results.