Initial vertical density profile Σ, comparing disks with R_disk = 100 AU and Q_init = 3 (top), Q_init = 1 (bottom), and increasing maximum refinement level from 2−4 (left to right), respectively. The scale height H, according to Eq. (19), changes with Q, which is why the Q_init = 1 disks show a flatter profile. The gray boxes indicate the deepness of the refinement level, from level l = 0 outside of the boxes to level l = l_max in the most inner box.