Comparison between the analytical gap prescriptions and hydro-simulations when a massive planet opens a gap. The disk is assumed to be a flared disk, i.e. H/r = h₀r^f, with h₀ = 0.05 the aspect ratio at the position of the planet, and f flaring index equal to 0.25. The planet-to-star mass ratio is q = 1 × 10^-3 (left panel) and q = 1 × 10^-2 (right panel), and the planet position is r_p = 1. The disk viscosity is assumed to be α = 10^-3 for both cases.