A numerical model of two-phase flow at the micro-scale using the volume-of-fluid method
Autor: | Branko Bijeljic, Martin J. Blunt, Ali Q. Raeini, Mosayeb Shams |
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Přispěvatelé: | PETROLEO BRASILEIRO S. A. PETROBRAS, Chevron Energy Technology Company, Maersk Oil Research & Technology Centre, Kuwait Oil Company (KOC) |
Rok vydání: | 2018 |
Předmět: |
Materials science
Physics and Astronomy (miscellaneous) Scale (ratio) Capillary action 0208 environmental biotechnology Phase (waves) 02 engineering and technology 01 natural sciences 09 Engineering 010305 fluids & plasmas Physics::Fluid Dynamics Inviscid flow 0103 physical sciences Volume of fluid method 01 Mathematical Sciences Numerical Analysis 02 Physical Sciences Applied Mathematics Mechanics 020801 environmental engineering Computer Science Applications Computational Mathematics Flow (mathematics) Modeling and Simulation Two-phase flow Porous medium |
Zdroj: | Journal of Computational Physics. 357:159-182 |
ISSN: | 0021-9991 |
DOI: | 10.1016/j.jcp.2017.12.027 |
Popis: | 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. |
Databáze: | OpenAIRE |
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