Momentum Weighted Interpolation for unsteady weakly compressible two-phase flows on unstructured meshes

Giuseppe Sirianni, Barbara Re, Rémi Abgrall, Alberto Guardone

Abstract: A set of strategies and numerical techniques for simulating weakly compressible two-phase flows is presented. A pressure formulation of the full Baer–Nunziato equations with arbitrary equation of state is presented. Node centered finite volumes are used on unstructured meshes in a fully implicit solver. To mitigate the pressure checkerboarding that arises from the collocated variable arrangement, a Momentum Weighted Interpolation formulation is derived specifically for the Baer–Nunziato equations. The proposed approach is thoroughly tested against analytic and experimental data.