An improved HLLC-type solver for incompressible two-phase fluid flows

In this paper, an HLLC-type contact preserving Riemann solver for incompressible two-phase flows using the artificial compressibility formulation is presented. This improvement over previous HLLC-VOF (Bhat and Mandal, 2019). work, unlike formulation, variation of volume fraction taken into account when calculating eigenvalues eigenvectors. Hence, equations intermediate states wave speed are closely-coupled with density during pseudo-time evolution solution. Additionally, interface compression algorithm used in tandem to ensure sharp interfaces. modified (called HLLC-VOF-M) found be more robust accurate compared older non-contact HLL solver. Several test problems two- three-dimensions solved demonstrate evaluate efficacy on structured unstructured meshes. • Contact three-dimensional, fluid flows. Artificial method. Sharp interfaces maintained coupled Viscous flux computed least-squares surface tension incorporated CSS model. Robust which less sensitive parameter, based several 2D 3D problems.