We are interested in numerical simulation of compressible flows with interfaces. Theses interfaces can separate a fluid and a rigid solid, two fluids with differents constitutive law, or a fluid and an elastic solid. First, we have developped an immersed boundary method to impose precisely a non penetration condition at the border of an obstacle. Then, a sharp interface method for compressible multimaterials have been studied and validated. The immersed boundary method of the first part is applied in this context.
Numerical approximation on cartesian meshes of conservation laws : compressible flows and non linear elasticity