Parallel computing as a vehicle for engineering design of complex functional surfaces

摘要: Thin liquid film flow over surfaces containing complex multiply connected topography is modelled using lubrication theory. The resulting time dependent nonlinear coupled set of governing equations for thickness and pressure solved on different parallel computing platforms a purpose written portable scalable multigrid algorithm in order to achieve the fine-scale resolution required guarantee mesh independent solutions. robustness approach demonstrated via solution three problems: one establish convergence characteristics viz. partitioning message passing strategies adopted, taking well-defined trench as benchmark against existing experimental corresponding numerical predictions; two, through sparsely distributed occlusions with computations performed architectures; three, free-surface planarisation respect - first an engineered functional substrate, second naturally occurring surface.