Veremieiev, S, Thompson, HM and Gaskell, PH (2015) Free-surface film flow over topography: full three-dimensional finite element solutions. Computers and Fluids, 122. 66 - 82. ISSN 0045-7930
Abstract
An efficient Bubnov-Galerkin finite element formulation is employed to solve the Navier-Stokes and continuity equations in three-dimensions for the case of surface-tension dominated film flow over substrate topography, with the free-surface location obtained using the method of spines. The computational challenges encountered are overcome by employing a direct parallel multi-frontal method in conjunction with memory-efficient out-of-core storage of matrix co-factors. Comparison is drawn with complementary computational and experimental results for low Reynolds number flow where they exist, and a range of new benchmark solutions provided. These, in turn, are compared with corresponding solutions, for non-zero Reynolds number, from a simplified model based on the long-wave approximation; the latter is shown to produce comparatively acceptable results for the free-surface disturbance experienced, when the underpinning formal restrictions on geometry and capillary number are not exceeded.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Elsevier Ltd. This is an author produced version of a paper accepted for publication in Computers and Fluids. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | liquid film flow, finite elements, topography, long-wave approximation, Navier-Stokes |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 11 Sep 2015 09:05 |
Last Modified: | 11 Nov 2016 17:27 |
Published Version: | http://dx.doi.org/10.1016/j.compfluid.2015.08.016 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.compfluid.2015.08.016 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89708 |