In this work, the HLLC type Riemann solver is proposed for the resolution of the two-phase flows based on an Eulerian type mixture model with a non-conservative volume fraction model. The "stiffened" type Tammann equations of state are used to model the r In this work, the HLLC type Riemann solver is proposed for the resolution of the two-phase flows based on an Eulerian type mixture model with a non-conservative volume fraction model. The "stiffened" type Tammann equations of state are used to model the r