Dr Sergii Veremieiev s.veremieiev@durham.ac.uk
Associate Professor
Dr Sergii Veremieiev s.veremieiev@durham.ac.uk
Associate Professor
H.M. Thompson
Professor Philip Gaskell p.h.gaskell@durham.ac.uk
Professor
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.
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 14, 2015 |
Online Publication Date | Sep 1, 2015 |
Publication Date | Nov 20, 2015 |
Deposit Date | Aug 18, 2015 |
Publicly Available Date | Sep 1, 2016 |
Journal | Computers and Fluids |
Print ISSN | 0045-7930 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 122 |
Pages | 66-82 |
DOI | https://doi.org/10.1016/j.compfluid.2015.08.016 |
Keywords | Liquid film flow, Finite elements, Topography, Long-wave approximation, Navier-Stokes. |
Public URL | https://durham-repository.worktribe.com/output/1401130 |
Accepted Journal Article
(3.4 Mb)
PDF
Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/
Copyright Statement
© 2015 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
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