Calculation of unsteady two-phase quasi-onedimensional channel flow based on the two-fluid model and the artificialviscosity numerical scheme

Abstract

An example of usage of the artificial viscosity technique for numerical simulation of unsteady one-dimensional two-phase flows based on the two-fluid approach is presented. The governing equations system is written under assumption of equal pressure in the fluids. No interfacial exchange is taken into account. Performance of the artificial viscosity technique suggested has been evaluated via numerical solution of a model problem of two-phase flow in a channel of variable cross-section. It has been shown that the used numerical scheme, implicit and first-order, involving the suggested artificial viscosity model, provides a stable process of getting a numerical solution and predicts a physically adequate flow dynamics without non-physical oscillations.