Fig. A.1

Azimuthally averaged density profile in the midplane for different smoothing lengths and resolutions. The legend indicates the used smoothing length parameter ϵ = rsm/rH and the characteristic grid cell width inside the envelope (dx/rH). Only in our highest resolution runs with a small smoothing length do we correctly capture the envelope structure to within a radius of 0.1 rH. Inside this radius, we start to see the influence of the smoothing length that reduces gas densities towards the core.
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