Improvement of three-dimensional mathematical model for the simulation of impact of high-speed metallic plates

The work is devoted to the development of the authors software package Turbulence Problem Solver originally created for the study of three-dimensional problems of hydrodynamic instabilities. Mathematical model is based on the three-dimensional two-component Euler equations, the numerical algorithm is based on the grid-characteristics scheme of the second approximation order in space. The functionality of the mathematical model and the numerical algorithm of the package is extended to consider the problem of high-speed metallic plates impact. The detailed description of the proposed numerical approach is presented. The problem of high-speed metallic plates impact is solved using stiffened gas equation of state. The parameters of the equation of state are calibrated on the basis of computational results obtained with the use of wide-range equations of states for the metals.