Aspect ratio (i.e., pressure scaleheight scaled with radius) h(r) = H_p(r)/r of our initial set-up. The black dashed line is the analytical calculation according to Eq. (5), the pink solid line shows the Gaussian fit from the initial set-up in our simulation. Gray dotted and dashed lines indicate the reference radius R₀ = 5.2 au and the corresponding reference aspect ratio h₀ = 0.05, respectively.