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A control volume finite element method for three‐dimensional three‐phase flows

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Title: A control volume finite element method for three‐dimensional three‐phase flows
Authors: Xie, Z
Pavlidis, D
Salinas, P
Matar, O
Pain, C
Item Type: Journal Article
Abstract: A novel control volume finite element method with adaptive anisotropic unstructured meshes is presented for three‐dimensional three‐phase flows with interfacial tension. The numerical framework consists of a mixed control volume and finite element formulation with a new P1DG‐P2 elements (linear discontinuous velocity between elements and quadratic continuous pressure between elements). A “volume of fluid” type method is used for the interface capturing, which is based on compressive control volume advection and second‐order finite element methods. A force‐balanced continuum surface force model is employed for the interfacial tension on unstructured meshes. The interfacial tension coefficient decomposition method is also used to deal with interfacial tension pairings between different phases. Numerical examples of benchmark tests and the dynamics of three‐dimensional three‐phase rising bubble, and droplet impact are presented. The results are compared with the analytical solutions and previously published experimental data, demonstrating the capability of the present method.
Issue Date: 1-Jul-2020
Date of Acceptance: 30-Dec-2019
URI: http://hdl.handle.net/10044/1/76331
DOI: 10.1002/fld.4805
ISSN: 0271-2091
Publisher: Wiley
Start Page: 765
End Page: 784
Journal / Book Title: International Journal for Numerical Methods in Fluids
Volume: 92
Issue: 7
Copyright Statement: © 2020 The Authors. International Journal for Numerical Methods in Fluids published by John Wiley & Sons, Ltd. This is an open access article under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/K003976/1
Keywords: Science & Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Mathematics, Interdisciplinary Applications
Physics, Fluids & Plasmas
Computer Science
adaptive unstructured mesh
control volume finite element method
discontinuous Galerkin
interfacial tension
Navier-Stokes model
three-phase flows
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Applied Mathematics
Publication Status: Published
Open Access location: https://onlinelibrary.wiley.com/doi/10.1002/fld.4805
Online Publication Date: 2020-01-17
Appears in Collections:Earth Science and Engineering
Chemical Engineering
Faculty of Natural Sciences
Faculty of Engineering