An interface capturing method for liquid-gas flows at low-Mach number

Multiphase, compressible and viscous flows are of crucial importance in a wide range scientific engineering problems. Despite the large effort paid last decades to develop accurate efficient numerical techniques address this kind problems, current models need be further improved realistic applications. In context, we propose approach simulation multiphase, where an incompressible phase interact low-Mach number regime. frame, acoustics neglected but density variations can accounted for as well heat transfer, convection diffusion processes. The problem is addressed fully Eulerian framework exploiting asymptotic expansion Navier-Stokes equations. A Volume Fluid (VOF) used capture liquid-gas interface, built on top massive parallel solver, second order both time space. second-order-pressure term treated implicitly resulting pressure equation solved with eigenexpansion method employing robust novel formulation. We provide detailed complete description theoretical together information about technique implementation details. Results benchmarking tests provided five different test cases.