  We present a numerical study of solutions to the $2d$ focusing nonlinear
Schr\"odinger equation in the exterior of a smooth, compact, strictly convex
obstacle, with Dirichlet boundary conditions with cubic and quintic powers of
nonlinearity. We study the effect of the obstacle on solutions traveling toward
the obstacle at different angles and with different velocities. We introduce a
concept of weak and strong interactions and show how the obstacle changes the
overall behavior of solutions.
