The paper investigates the interaction between a shock wave and an anisotropic entropy perturbation field. An analytical solution is derived for the pressure perturbation behind the shock front, including second-order corrections. Using the example of two colliding plates, the problem of shock wave propagation in an impactor with initial density perturbations is solved numerically. A comparison between the analytical estimates and numerical simulations results is presented. The obtained solution can be used for verification during the development of new numerical schemes.
Gorodnichev et al. (2025) studied this question.