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A numerical model of two-phase flow at the micro-scale using the volume-of-fluid method

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Title: A numerical model of two-phase flow at the micro-scale using the volume-of-fluid method
Authors: Shams, M
Raeini, AQ
Blunt, MJ
Bijeljic, B
Item Type: Journal Article
Abstract: This study presents a simple and robust numerical scheme to model two-phase flow in porous media where capillary forces dominate over viscous effects. The volume-of-fluid method is employed to capture the fluid-fluid interface whose dynamics is explicitly described based on a finite volume discretization of the Navier–Stokes equations. Interfacial forces are calculated directly on reconstructed interface elements such that the total curvature is preserved. The computed interfacial forces are explicitly added to the Navier–Stokes equations using a sharp formulation which effectively eliminates spurious currents. The stability and accuracy of the implemented scheme is validated on several two- and three-dimensional test cases, which indicate the capability of the method to model two-phase flow processes at the micro-scale. In particular we show how the co-current flow of two viscous fluids leads to greatly enhanced flow conductance for the wetting phase in corners of the pore space, compared to a case where the non-wetting phase is an inviscid gas.
Issue Date: 21-Dec-2017
Date of Acceptance: 19-Dec-2017
URI: http://hdl.handle.net/10044/1/56019
DOI: https://dx.doi.org/10.1016/j.jcp.2017.12.027
ISSN: 0021-9991
Publisher: Elsevier
Start Page: 159
End Page: 182
Journal / Book Title: Journal of Computational Physics
Volume: 357
Copyright Statement: © 2017 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Sponsor/Funder: PETROLEO BRASILEIRO S. A. PETROBRAS
Chevron Energy Technology Company
Maersk Oil Research & Technology Centre
Kuwait Oil Company (KOC)
Funder's Grant Number: N/A
N/A
Contract C- 8600003656
15051073
Keywords: 01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status: Published
Open Access location: http://www.sciencedirect.com/science/article/pii/S002199911730921X?via=ihub
Appears in Collections:Faculty of Engineering
Earth Science and Engineering



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