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FILMPAR: A parallel algorithm designed for the efficient and accurate computation of thin film flow on functional surfaces containing micro-structure

Lee, Y.C., Thompson, H.M. and Gaskell, P.H. (2009) FILMPAR: A parallel algorithm designed for the efficient and accurate computation of thin film flow on functional surfaces containing micro-structure. Computer Physics Communications Package, 180 (12). pp. 2634-2649.

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Abstract

A highly efficient and portable parallel multigrid algorithm for solving a discretised form of the coupled lubrication equations for three-dimensional, gravity-driven, continuous thin film free-surface flow over substrates containing micro-scale topography is presented. Although applicable to problems involving heterogeneous and distributed features, for illustrative purposes the algorithm is benchmarked for the case of flow over a single trench topography; this enables direct comparisons with complementary experimental data and existing serial multigrid solutions. Parallel performance is accessed and shown to lead to super-linear behaviour provided the finest multigrid mesh level employed is sufficiently so.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 Elsevier B.V. This is an author produced version of a paper published in Computer Physics Communications. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Multigrid, parallel computing, thin film flow, lubrication equations
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: 05 Mar 2010 16:15
Last Modified: 08 Feb 2013 17:06
Published Version: http://dx.doi.org/10.1016/j.cpc.2009.06.012
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.cpc.2009.06.012
URI: http://eprints.whiterose.ac.uk/id/eprint/10469

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