Convergence order for the L₁ norm of the 2D recoiling black hole setup with the kick velocity set to zero. We show the uniform grid (solid) and AMR (Löhner scheme) with tolerances of ε_t = 0.1 (dashed) and ε_t = 0.01 (dash-dotted). In the uniform grid case we used three different resolutions: low (128 × 128), medium (256 × 256), and high (512 × 512). In the AMR case, the simulation data used were uniform (128 × 128, level 1), and two and three AMR levels.