A simple Cartesian scheme for compressible multimaterials

We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly different physical properties and constitutive laws, describing for example fluids or hyperelastic solids. The model is fully Eulerian and the scheme is the same for all materials. We show stiff numerical illustrations in case of gas–gas, gas–water, gas–elastic solid interactions in the large deformation regime.