Ambient pressure evolution along the axial direction for the different time steps of t = 0 r_j/c (red line), t = 70 r_j/c (green line), t = 280 r_j/c (blue line), t = 520 r_j/c (orange line), and t = 1090 r_j/c (black line). In the intermediate time steps, the oscillations in the pressure values are due to the passage of the wave. After enough time, such oscillations are absorbed by the boundary conditions and the original profile is recovered.