Abstract: The RKDG(Runge-Kutta Discontinuous Galerkin) finite element method,the Level Set method and the Ghost Fluid method are applied to compressible multimedia fluids.We discretizes Euler equations,the Level Set equation and the reinitialization equation by a DG(Discontinuous Galerkin) method in space and by a Runge-Kutta method in time.Two dimensional compressible two-fluid flows such as air-air,air-liquid are computed.High resolution ratio computational results are obtained.

Key words: RKDG finite element method, compressible multimedia fluid, ghost fluid method, Level Set method