Density, AMR levels (red dashed line), parallel and transverse velocity and pressure in the frame of the laboratory for the shock test with Γ_max = 120. Left panels: uniform grid n_x = 512; middle panels: uniform grid n_x = 2¹⁷ = 131072; right panels: n_x = 64, l_max = 17. The black solid line represents the MUSCL method, while the black dashed line represents the PLM method. At high resolution, they give the same result, which is very close to the analytic solution.