Dynamics of gas as the envelope accretes onto the disk. It is obtained from the simulations described in Commerçon et al. (2024), after averaging over the elliptic motion of the gas streamlines around the star. The main plot shows the net radial flux, which is directed toward the star at the surface of the disk (red color) and outward near the midplane (gray color), whereas there is no net radial component beyond ∼6 au, where instead the motion of the gas is vertical. The latter is illustrated by black arrows in the inlet, where the color depicts the density of gas.