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Paper details
Number 2 - June 2000
Volume 10 - 2000
Shape optimization of labyrinth seals
Rajae Aboulaïch, Karim Azelmat, Jacques Baranger, Ali Souissp
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.
Keywords
shape optimization, hydraulic turbine, Navier-Stokes equations, finite element method