A nearly-implicit hydrodynamic numerical scheme for two-phase flows

Abstract

This article presents an extension of the semi-implicit numerical scheme for two-phase flow simulation. The extension uses an implicit evaluation of the convective fluxes and thus eliminates the material Courant stability restriction. The new algorithm involves a two-step approach for the mass and energy equations and a single fully-implicit step for the momentum evaluations. Some analysis and accuracy considerations for the scheme are also presented. © 1986.