March 3, 2026Mathematical Models and Computer Simulations0 citations

Numerical Simulation of a Shock Wave Interaction with an Anisotropic Entropy Perturbation Field

KGK. E. GorodnichevAll Russia Research Institute of Automatics EUE. M. UrvachevHuman Growth Foundation SKS. E. KuratovAll Russia Research Institute of Automatics

Key Points

The pressure perturbation behind the shock front shows significant insights into shock wave interactions, emphasizing predictive power.
An analytical solution integrates second-order corrections, indicating precise pressure perturbation predictions.
Numerical simulations solve shock wave propagation problems using initial density perturbations from colliding plates, enhancing accuracy.
Validating numerical schemes is crucial and highlights the practical implications, potentially optimizing future engineering designs.

Abstract

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.

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