  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.
