Model A: results of semi-analytical solution of the density ρ, velocity u, pressure P, and temperature T (black line), with the slope parameters n = 7 and w_sw = 2, in the polar direction. The method of calculation is described in Sect. A.2. The time is the same as in Figs. 3–5. The velocity at the outer shock wave region (at approx. 16 R_⋆) correspondsto the polar expansion velocity in the panel B of Fig. 4 while the other quantities and semi-analytical model input variables are described in Appendix A.2. The blue line depicts the corresponding calculation from our 2D model. The corresponding 1D profile calculated using the SNEC-1.01 code is depicted with a red line (see the description in Sect. 5.1).