Compressible solver for two-phase flows with sharp interface and capillary effects preserving accuracy in the low Mach regime

International audienceWe present a sharp interface approach for compressible two-phase flows thatpreserves its accuracy in the low Mach regime. The interface between both fluidsis captured by a Level Set function via the Ghost Fluid method. In the low Machregime, classic Finite Volume compressible solvers lose accuracy on quadrangleor hexahedral meshes and a low Mach correction is then necessary to reducethe numerical dissipation. The sharp interface that separates both fluids, mayinduce an important jump in the medium properties that induces additionalchallenges for the design of a numerical scheme. Indeed, the well-known lowMach fixes in the literature could lead to significant truncation errors whenthe flow involves large density and sound speed ratios between both phases.To preserve the accuracy of the numerical method, we propose a specific lowMach fix for this interface problem that yields a uniform truncation error withrespect to the Mach number. Numerical results show significant evidences ofthe efficiency and accuracy of the proposed low Mach correctio