Title: A new approach to solve mixture multi-phase flow model using time splitting projection method

Authors: Farhang Behrangi; Mohammad Ali Banihashemi; Masoud Montazeri Namin; Asghar Bohluly

Addresses: School of Civil Engineering, University of Tehran, Tehran, Iran ' School of Civil Engineering, University of Tehran, Tehran, Iran ' School of Civil Engineering, University of Tehran, Tehran, Iran ' Institute of Geophysics, University of Tehran, Tehran, Iran

Abstract: This paper was aimed at introducing a new approach to numerical simulation of two-phase flows by solving the mixture model equations. In this approach, an effective numerical algorithm was developed based on the time splitting projection method to solve the mixture model equations for an incompressible two-phase flow. In this study, a new technique was developed to solve the mixture continuity equation based on the time splitting projection method. One of the advantages of the mixture model is that, in addition to determining the velocities of each phase, it solves only one set of momentum equations and calculates the velocity differences between the phases by solving the relative velocity equation. Accordingly, an extended finite volume vertical two-dimensional numerical model was used to determine the pressure distribution, velocity field and volume fraction of each phase at each time step. The model has been used in various tests to simulate unsteady flow problems. Comparison between numerical results, analytical solutions and experimental data demonstrated a satisfactory performance.

Keywords: time splitting; projection method; mixture model; multi-phase flow; slip velocity; computational fluid dynamics; phase interpenetrate; numerical methods; numerical modelling; numerical solution.

DOI: 10.1504/PCFD.2017.10009357

Progress in Computational Fluid Dynamics, An International Journal, 2019 Vol.19 No.3, pp.160 - 169

Received: 13 Feb 2017
Accepted: 20 Sep 2017

Published online: 14 May 2019 *

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