Comparison between different settling models for St = 0.001 (top) and St = 0.00025 (bottom) in the case β = 10³. The green line represents the vertical density profile obtained from the simulation. The red/dashed and orange lines are computed from the 2D semi-analytical models with parameters detailed in Sect. 5.2.2. The red line is with non-uniform D_z in z while the orange corresponds to D_z = const. The blue and purple/dotted lines are analytical solutions derived from a 1D diffusion model (Dubrulle et al. 1995) respectively without wind and with uniform wind. All profiles are normalized to unity in the midplane to allow comparison.