@misc{Aboula?ch_Rajae_Shape,
 author={Aboula?ch, Rajae and Azelmat, Karim and Baranger, Jacques and Souissp, Ali},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={In this work, we determine the optimal shape of a labyrinth seal in a hydraulic Francis turbine. The numerical approximation of the optimal shape is obtained using shape optimization techniques. The flow is governed by Navier-Stokes equations. We first prove the existence of an optimal domain, and later we present the computation of the shape gradient which allows us to approximate numerically the optimal domain.},
 type={artykuł},
 title={Shape optimization of labyrinth seals},
 keywords={shape optimization, hydraulic turbine, Navier-Stokes equations, Finite Element Method (FEM)},
}