Abstract: By predicting the real fluid status rather than the ghost fluid status with a Riemann problem,a simple and efficient extension of the ghost fluid method in multi-dimension is introduced. Riemann problems are constructed at the interface and solved to define boundary conditions of fluid on both sides of the interface.Since the Riemann problem solvers describe fluid state reasonably and the normal velocity and pressure are continuous across the interface,a more accurate interface boundary condition is obtained. Conservation error shows that the method incurs minor errors. Numerical experiments show that this method captures the interface and shock waves correctly.

Key words: compressible multi-medium flow, ghost fluid method, Riemann problem