FILMPAR: A parallel algorithm designed for the efficient and accurate computation of thin film flow on functional surfaces containing micro-structure. FILMPAR is a highly efficient and portable parallel multigrid algorithm for solving a discretised form of the lubrication approximation to three-dimensional, gravity-driven, continuous thin film free-surface flow over substrates containing micro-scale topography. While generally applicable to problems involving heterogeneous and distributed features, for illustrative purposes the algorithm is benchmarked on a distributed memory IBM BlueGene/P computing platform for the case of flow over a single trench topography, enabling direct comparison with complementary experimental data and existing serial multigrid solutions. Parallel performance is assessed as a function of the number of processors employed and shown to lead to super-linear behaviour for the production of mesh-independent solutions. In addition, the approach is used to solve for the case of flow over a complex inter-connected topographical feature and a description provided of how FILMPAR could be adapted relatively simply to solve for a wider class of related thin film flow problems.
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References in zbMATH (referenced in 3 articles )
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- Ahmed, Gulraiz; Sellier, Mathieu; Lee, Yeaw Chu; Jermy, Mark; Taylor, Michael: Rheological effects on the levelling dynamics of thin fluid films (2015)
- Lee, Y. C.; Thompson, H. M.; Gaskell, P. H.: Three-dimensional thin film and droplet flows over and past surface features with complex physics (2011)
- Li, Yibao; Lee, Hyun Geun; Yoon, Daeki; Hwang, Woonjae; Shin, Suyeon; Ha, Youngsoo; Kim, Junseok: Numerical studies of the fingering phenomena for the thin film equation (2011)