Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids

Jan Sokolowski (1) , Jan Stebel (2)

1 IECN - Institut Élie Cartan de Nancy
2 Mathematical Institute [Praha] - Academy of Sciences

We study the shape differentiability of a cost function for the flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of the obstacle we express the shape gradient of the cost function which can be subsequently used to improve the initial design.

Mots clés: Navier-Stokes equations; incompressible viscous fluid; shape gradient; shape optimization

Domaines: Equations aux dérivées partielles [math.AP]

Jan Sokolowski, Jan Stebel. Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids. Control and Cybernetics, 2011, 4, pp.1077-1097. ⟨hal-00624182⟩