A high-resolution interface tracking method is applied to simulate compressible multi-fluid flows with general equation of state in one-dimension. It captures the interface by using Level Set technique with conservative numerical discretization at interface. It uses high-order PPM scheme and two-shock approximation for GEOS Riemann problem. Results show that the computation is high-order accurate and there are no numerical oscillation and smearing at multi-fluid interface.

A high order Piecewise Parabolic Method (PPM) is applied to simulate compressible multifluids flows with a stiffened gas equation of state in multi dimensions, which allows high density ratios and strong shock waves. Several test problems are presented for one and two dimensions.