An important practical feature of simulating droplet migration computationally,udusing the lubrication approach coupled to a disjoining pressure term, isudthe need to specify the thickness, H, of a thin energetically stable wetting layer,udor precursor lm, over the entire substrate. The necessity that H be small inudorder to improve the accuracy of predicted droplet migration speeds, allied to theudneed for mesh resolution of the same order as H near wetting lines, increases theudcomputational demands signicantly. To date no systematic investigation of theseudrequirements on the quantitative agreement between prediction and experimentaludobservation has been reported. Accordingly, this paper combines highly ecientudMultigrid methods for solving the associated lubrication equations with a paralleludcomputing framework, to explore the eect of H and mesh resolution. The solutionsudgenerated are compared with recent experimentally determined migrationudspeeds for droplet udows down an inclined plane.
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