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A balanced-force control volume finite element method for interfacial flows with surface tension using adaptive anisotropic unstructured meshes

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Title: A balanced-force control volume finite element method for interfacial flows with surface tension using adaptive anisotropic unstructured meshes
Author(s): Xie, Z
Pavlidis, D
Salinas, P
Percival, J
Pain, C
Matar, O
Item Type: Journal Article
Abstract: A balanced-force control volume finite element method is presented for three-dimensional interfacial flows with surface tension on adaptive anisotropic unstructured meshes. A new balanced-force algorithm for the continuum surface tension model on unstructured meshes is proposed within an interface capturing framework based on the volume of fluid method, which ensures that the surface tension force and the resulting pressure gradient are exactly balanced. Two approaches are developed for accurate curvature approximation based on the volume fraction on unstructured meshes. The numerical framework also features an anisotropic adaptive mesh algorithm, which can modify unstructured meshes to better represent the underlying physics of interfacial problems and reduce computational effort without sacrificing accuracy. The numerical framework is validated with several benchmark problems for interface advection, surface tension test for equilibrium droplet, and dynamic fluid flow problems (fluid films, bubbles and droplets) in two and three dimensions.
Publication Date: 13-Aug-2016
Date of Acceptance: 12-Aug-2016
URI: http://hdl.handle.net/10044/1/38999
DOI: http://dx.doi.org/10.1016/j.compfluid.2016.08.005
ISSN: 0045-7930
Publisher: Elsevier
Start Page: 38
End Page: 50
Journal / Book Title: Computers & Fluids
Volume: 138
Copyright Statement: © 2016 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license. (http://creativecommons.org/licenses/by/4.0/)
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (E
Funder's Grant Number: EP/K003976/1
EP/M012794/1
Keywords: Applied Mathematics
Interdisciplinary Engineering
Mechanical Engineering
Publication Status: Published
Appears in Collections:Faculty of Engineering
Earth Science and Engineering
Chemical Engineering
Faculty of Natural Sciences



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