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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

By Y.C. Lee, H.M. Thompson and P.H. Gaskell

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

Publisher: Elsevier
Year: 2009
OAI identifier: oai:eprints.whiterose.ac.uk:10469

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