Micro-Shape Control, Riblets and Drag Minimization
Résumé
Relying on the rugosity effect, we analyze the drag minimization problem in relation with the micro-structure of the surface of a given obstacle. We construct a mathematical framework for the optimization problem, prove the existence of an optimal solution by Gamma-convergence arguments and analyze the stability of the drag with respect to the micro-structure. Within our mathematical model, we explain why riblets may decrease the drag and also discuss complex rugosity effects related to synthetic jets or dynamic rugosity, modeled by combinations of rugous regions with in-flow and out-flow micro-perforations. Finally, numerical computations are performed in order to support the theoretical results.
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Matthieu_Bonnivard_Dorin_Bucur--Micro_Shape_Control_Riblets_and_Drag_Minimization.pdf (263.67 Ko)
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