Predicting Three-Dimensional Inertial Thin Film Flow over Micro-Scale Topography

Sergii Veremieiev, Philip H. Gaskell, Yeaw Chu Lee, Harvey M. Thompson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


Alternative lubrication and depth-averaged formulations of the unsteady Navier-Stokes equations are used to explore the problem of gravity-driven inertial thin film flow on substrates containing topography that is either fully submerged or protrudes through the film. The resulting discrete form of the equation sets are solved using a multigrid strategy incorporating automatic adaptive time-stepping, enabling accurate mesh independent solutions to be generated very efficiently. Two benchmark test problems are solved revealing the extent of the free surface disturbance that ensues, together with the effect of inertia on the same.

Original languageEnglish
Title of host publicationCOMPUTATIONAL FLUID DYNAMICS 2010
EditorsA Kuzmin
Place of PublicationBERLIN
Number of pages6
ISBN (Print)978-3-642-17883-2
Publication statusPublished - 2011
Event6th International Conference on Computational Fluid Dynamics - St Petersburg
Duration: 12 Jul 201016 Jul 2010


Conference6th International Conference on Computational Fluid Dynamics
CitySt Petersburg



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