The surface density (on a logarithmic scale) of gas around an e = 0.6 binary at pericenter, for a ﹩{ \mathcal M }=10,\,\nu =1{0}^{-3}﹩ disk. The border of each cell is demarcated in black. Each sink region is roughly 13 cells in diameter (2r_s), and the binary separation at pericenter is resolved by about 104 cells. Note that, as r → 0, the number of cells per annulus decreases substantially due to the constant ﹩{\rm{\Delta }}R﹩ employed at R ≤ a.