Modeling and simulation of compressible multi-material interface

We aim to simulate the interactions at the material interface of two compressible media. These interactions are modeled by a single fully Eulerian system of conservation laws. The materials differ by their constitutive laws, that can reproduce the mechanical characteristics of fluids or elastic solid. We illustrate the model with simulations of shock waves impinging on undulated interfaces, generating instabilities such as Richtmyer-Meshkov instabilities.