Comparison between analytical solutions and simulation results. The peak pressures of these plots are recorded in the nearest tracer particle to the impact point. The shape and color of the markers in the plots correspond to projectile shape: cylinder (green square) and spheroid (black circle). The simulation with the cylinder projectile is the same as that shown in Fig. 9. Solid lines are illustrated by Eq. (15) and P* (Sect. 4.3).