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.
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.
|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:||19 Apr 2017 00:54|