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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
Authors: 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.
Issue Date: 15-Oct-2016
Date of Acceptance: 12-Aug-2016
URI: http://hdl.handle.net/10044/1/38999
DOI: 10.1016/j.compfluid.2016.08.005
ISSN: 0045-7930
Publisher: Elsevier
Start Page: 38
End Page: 50
Journal / Book Title: Computers and Fluids
Volume: 138
Issue: 1
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: Science & Technology
Technology
Computer Science, Interdisciplinary Applications
Mechanics
Computer Science
Curvatures
Discontinuous Galerkin
Multiphase flows
Surface tension
Unstructured mesh
Volume of fluid method
LEVEL-SET
NUMERICAL-SIMULATION
FLUID INTERFACES
TRACKING METHOD
2-PHASE FLOWS
VOF METHOD
CURVATURE
FRAMEWORK
SOLVER
0102 Applied Mathematics
0913 Mechanical Engineering
0915 Interdisciplinary Engineering
Applied Mathematics
Publication Status: Published
Online Publication Date: 2016-08-13
Appears in Collections:Earth Science and Engineering
Chemical Engineering
Faculty of Natural Sciences
Faculty of Engineering