Statistics of the numerical Sod shock Mach number relative to its expected value for different shock Mach numbers, 10 (black), 100 (blue), and 1000 (red), using either a maximum of ncellmax = 2 cells (left panel) or ncellmax = 4 cells (right panel) to probe hydrodynamical values in the post-shock and pre-shock regions. These shock tube tests do not model CRs. Pre-shock and post-shock regions need to be probed up to four cells away from the shock cell location for the strongest Mach numbers to be captured accurately.
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