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A balanced-force control volume finite element method for interfacial flows with surface tension using adaptive anisotropic unstructured meshes
File | Description | Size | Format | |
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article_revised_2nd.pdf | Accepted version | 2.58 MB | Adobe PDF | View/Open |
1-s2.0-S0045793016302511-main.pdf | Published version | 4.73 MB | Adobe PDF | View/Open |
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 |