A mass-momentum consistent THINC-scaling scheme for CLSVOF method on co-located grid

Abstract

Accurate numerical simulation of practical two-phase flows characterized by high density ratios are indeed challenging as spurious interfacial currents may disrupt the solution. To address such complexities, the present work considers a conservative discretization of the incompressible Navier-Stokes equation that advects the mass and momentum consistently on a co-located grid. An algebraic Coupled Level Set and Volume Of Fluid (CLSVOF) approach, based on THINC (Tangent of the Hyperbola for INterface Capturing)-scaling scheme is used to capture the interface. The numerical methodology relies on a balanced treatment of the pressure and other interfacial forces at the discrete level while emphasizing a compatible calculation of mass and momentum fluxes. Effectiveness of the present Consistent Mass-Momentum Transport (CMMT)-based THINC-scaling method is demonstrated by the thorough numerical analysis of advection of a high density drop. The obtained results signify the requirement of a balanced force CMMT framework for accurate and stable simulation of multiphase flows. Furthermore, performance of the present in-house multiphase solver is evaluated from practical tests like capillary wave, dam break, bubble rise and Rayleigh-Taylor instability. The present work is significant as it presents the capability of the CMMT-based THINC-scaling method to resolve precise interface profiles while preserving close to second order spatial accuracy.