A New Hllem-Type Riemann Solver for Compressible Multi-phase Flows with Surface Tension

In this work we focus on the development of a new HLLEM-type Riemann solver for compressible multi-phase flows with surface tension. A novel path-conservative discretization of the continuum surface force method (CSF) is used to implement the surface tension due to curvature of the phase interface. A series of test problems for the solution of the full seven equation Baer-Nunziato model of compressible multi-phase flows is presented for one-and two-dimensional flows. The numerical results are compared with others found in the literature.