Column density snapshots of the canonical simulation R_ℓ14. Left: edge-on. Right: face-on. The coordinates are in AU, and the origin is at the box center. The images are centered on the sink particle, and the white dashed circle indicates the numerical radius of sink accretion (4dx). After the formation of the sink particle, the originally roundish structure of the flattened first Larson-core is quickly accreted and a flat disk forms, with sightly smaller size. The protoplanetary disk does not stay at the center of the computation box and might experience a complex accretion history. The size of the disk grows slowly from its initial radius of about 20 AU and presents fluctuations. At about 120 kyr, the disk grows more rapidly and reaches almost 100 AU. Although only a few snapshots are presented here, the actual picture is highly variant in time.