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The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions

Lee, Y.C., Thompson, H.M. and Gaskell, P.H. (2008) The efficient and accurate solution of continuous thin film flow over surface patterning and past occlusions. International Journal for Numerical Methods in Fluids, 56 (8). pp. 1375-1381. ISSN 0271-2091


The benefits of a spatially and time-adaptive full approximation storage (FAS) multigrid method for the solution of the thin film lubrication equations, as used to model gravity-driven flow over complex submerged topography and past small-scale occlusions, are investigated. Results are presented which demonstrate how flow orientation has a significant effect on the magnitude of the resultant free-surface disturbances and how reduction of the in-plane dimensions of the associated topography increases the computational resources needed to achieve grid-independent solutions. In addition, the ability to automatically restrict fine grid resolution only to those regions in and around small, localized topography is shown to lead to significantly increased computational efficiency over grid-independent solutions obtained on globally fine meshes with the same degree of accuracy. Copyright © 2007 John Wiley & Sons, Ltd.

Item Type: Article
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds)
Depositing User: Mrs Fiona Slade
Date Deposited: 23 Dec 2008 15:06
Last Modified: 08 Feb 2013 17:07
Published Version: http://dx.doi.org/10.1002/fld.1573
Status: Published
Publisher: Wiley-Blackwell
Refereed: Yes
Identification Number: 10.1002/fld.1573
URI: http://eprints.whiterose.ac.uk/id/eprint/5001

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