Microshape Control, Riblets, and Drag Minimization

نویسندگان

  • Matthieu Bonnivard
  • Dorin Bucur
چکیده

Relying on the rugosity effect, we analyse 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 Γ-convergence arguments and analyse the stability of the drag with respect to the micro-structure. For Stokes flows we justify why rugosity increases the drag, while for Navier-Stokes flows we give some numerical evidence supporting the thesis that adding rugosity on specific regions of the obstacle may contribute to decrease the drag.

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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 73  شماره 

صفحات  -

تاریخ انتشار 2013