Sketch of the dust transport calculation on the disk grid i, from the time tⁿ to the time tⁿ⁺¹, including pebble accretion. The disk is segmented into N grids. We focus on the region surrounding disk cell i in the zoomed-in view. Arrows depict the direction of various pebble fluxes. The flux going through the planet’s orbit r_i is reduced by a factor є_peb,i, which is the planet’s pebble accretion efficiency.