Schematic view of our multi-scale scenarios of gas accretion for central galaxies (upper panel) and satellite galaxies (lower panel) for different typical distances to the filaments from the filaments (left column) to the voids (right columns). The grey arrows give a qualitative representation of the accretion to the star-forming galaxy in blue. For d_fil ≲ 1 cMpc, the quenched central galaxy of the satellite is represented in red, with the associated hot CGM in orange. For d_fil ≳ 10 cMpc, most satellites have star-forming central, thus the central galaxy is also in blue. Centrals retain cold gas near filaments, while satellites experience preprocessing and stripping before partial gas re-accretion near filament cores.