Radial profile of thermal density. Red dashed and green dotted lines correspond to the best fitting BknPow model and ModPow model at a 90° viewing angle, respectively. A sector to measure the surface brightness profiles is shown in Fig. A.1 at a 90° viewing angle. We measure the thermal density profile from the simulation result at the x − z plane (y = 0 kpc) in the sector. The shaded region shows the maximum and minimum thermal density, and the black solid line represents the average value. The BknPow and ModBkn models fit the jumps with a shock compression ratio C = 2.44 ± 0.13 and 3.82 ± 0.16, respectively. The surface brightness profile (black circles), the best fits of BknPow (red dashed line) and ModBkn (green dotted line) are shown in the inset.