Self-similar solution for the slow MHD and two-fluid shock. Top left: x-velocity; top right: B_y; bottom left: y-velocity; bottom right: pressure. Comparison between runs with different resolutions: uniform grid with 8192 points (solid lines, labeled “8192p”), uniform grid with 16384 points (dashed lines, labeled “16384”), and AMR with 2048 points base resolution and four refinement levels (dot-dashed labeled “2048p,41”). The quantities corresponding to the charges and the magnetic field are plotted with solid blue (uniform, 8192 points), dashed violet (uniform, 16 384 points) and dash-dotted gray (AMR, 2048 points base resolution, four levels); and for the neutral fluid with solid red (uniform, 8192 points), dashed yellow (uniform, 16 384 points) and dash-dotted orange (AMR, 2048 points base resolution, four levels). The reference MHD quantities are shown with solid black lines. In the bottom left panel the sum of pressures of charged and neutral fluids is also shown as indicated in the legend. The black arrow in the top left panel indicates the only location where the numerical solution changes visibly for a change in resolution.